---
_id: '29546'
author:
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Jean-Baptiste
full_name: Caillau, Jean-Baptiste
last_name: Caillau
- first_name: Walid
full_name: Djema, Walid
last_name: Djema
- first_name: Laetitia
full_name: Giraldi, Laetitia
last_name: Giraldi
- first_name: Jean-Luc
full_name: Jean-Luc, Jean-Luc
last_name: Jean-Luc
- first_name: Jean-Baptiste
full_name: Pomet, Jean-Baptiste
last_name: Pomet
citation:
ama: 'Maslovskaya S, Caillau J-B, Djema W, Giraldi L, Jean-Luc J-L, Pomet J-B. The
turnpike property in maximization of microbial metabolite production. In: ; 2020.'
apa: Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &
Pomet, J.-B. (2020). The turnpike property in maximization of microbial metabolite
production. IFAC 2020 - 21rst IFAC World Congress.
bibtex: '@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The
turnpike property in maximization of microbial metabolite production}, author={Maslovskaya,
Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc,
Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }'
chicago: Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi,
Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization
of Microbial Metabolite Production,” 2020.
ieee: S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B.
Pomet, “The turnpike property in maximization of microbial metabolite production,”
presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.
mla: Maslovskaya, Sofya, et al. The Turnpike Property in Maximization of Microbial
Metabolite Production. 2020.
short: 'S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B.
Pomet, in: 2020.'
conference:
name: IFAC 2020 - 21rst IFAC World Congress
date_created: 2022-01-26T13:26:36Z
date_updated: 2022-01-26T13:39:01Z
department:
- _id: '636'
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-02916081/document
oa: '1'
quality_controlled: '1'
status: public
title: The turnpike property in maximization of microbial metabolite production
type: conference_abstract
user_id: '87909'
year: '2020'
...
---
_id: '29413'
author:
- first_name: K.
full_name: Flaßkamp, K.
last_name: Flaßkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Peitz, S. '
last_name: Peitz
citation:
ama: 'Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective
model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum
S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation.
Springer International Publishing; 2020:209-237.'
apa: 'Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in optimal
control: A multiobjective model predictive control approach. In O. Junge, O. Schütze,
G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics,
Optimization and Computation (pp. 209–237). Springer International Publishing.'
bibtex: '@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry
in optimal control: A multiobjective model predictive control approach}, booktitle={Advances
in Dynamics, Optimization and Computation}, publisher={Springer International
Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge,
Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle,
Kathrin}, year={2020}, pages={209–237} }'
chicago: 'Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control:
A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics,
Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary
Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer
International Publishing, 2020.'
ieee: 'K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control:
A multiobjective model predictive control approach,” in Advances in Dynamics,
Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum,
and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp.
209–237.'
mla: 'Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model
Predictive Control Approach.” Advances in Dynamics, Optimization and Computation,
edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.'
short: 'K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland,
S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and
Computation, Springer International Publishing, Cham, 2020, pp. 209–237.'
date_created: 2022-01-18T12:58:18Z
date_updated: 2023-11-08T08:15:14Z
department:
- _id: '636'
editor:
- first_name: Oliver
full_name: Junge, Oliver
last_name: Junge
- first_name: Oliver
full_name: Schütze, Oliver
last_name: Schütze
- first_name: Gary
full_name: Froyland, Gary
last_name: Froyland
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Padberg-Gehle, Kathrin
last_name: Padberg-Gehle
language:
- iso: eng
page: 209-237
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publisher: Springer International Publishing
status: public
title: 'Symmetry in optimal control: A multiobjective model predictive control approach'
type: book_chapter
user_id: '15694'
year: '2020'
...
---
_id: '19945'
abstract:
- lang: eng
text: Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations,
…) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian
systems on manifolds equipped with Poisson brackets. The Poisson structure is
connected to conservation properties and other geometric features of solutions
to the PDE and, therefore, of great interest for numerical integration. For the
example of Burgers' equations and related PDEs we use Clebsch variables to lift
the original system to a collective Hamiltonian system on a symplectic manifold
whose structure is related to the original Lie-Poisson structure. On the collective
Hamiltonian system a symplectic integrator can be applied. Our numerical examples
show excellent conservation properties and indicate that the disadvantage of an
increased phase-space dimension can be outweighed by the advantage of symplectic
integration.
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
- first_name: Benjamin K
full_name: Tapley, Benjamin K
last_name: Tapley
citation:
ama: McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch
variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005
apa: McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration
of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1),
111–130. https://doi.org/10.3934/jcd.2019005
bibtex: '@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of
PDEs using Clebsch variables}, volume={6}, DOI={10.3934/jcd.2019005},
number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian
and Tapley, Benjamin K}, year={2019}, pages={111–130} }'
chicago: 'McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic
Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics
6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.'
ieee: R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs
using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no.
1, pp. 111–130, 2019.
mla: McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch
Variables.” Journal of Computational Dynamics, vol. 6, no. 1, American
Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:10.3934/jcd.2019005.
short: R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics
6 (2019) 111–130.
date_created: 2020-10-06T16:44:07Z
date_updated: 2022-01-06T06:54:15Z
department:
- _id: '636'
doi: 10.3934/jcd.2019005
extern: '1'
intvolume: ' 6'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.aimsciences.org/article/doi/10.3934/jcd.2019005
oa: '1'
page: 111-130
publication: Journal of Computational Dynamics
publication_identifier:
issn:
- 2158-2505
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Symplectic integration of PDEs using Clebsch variables
type: journal_article
user_id: '85279'
volume: 6
year: '2019'
...
---
_id: '29867'
author:
- first_name: Tim
full_name: Faulwasser, Tim
last_name: Faulwasser
- first_name: K.
full_name: Flaßkamp, K.
last_name: Flaßkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Karl
full_name: Worthmann, Karl
last_name: Worthmann
citation:
ama: 'Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Worthmann K. Towards velocity turnpikes
in optimal control of mechanical systems. In: IFAC-PapersOnLine, ed. Vol 52(16).
; 2019:490-495.'
apa: 'Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2019).
Towards velocity turnpikes in optimal control of mechanical systems: Vol. 52(16)
(IFAC-PapersOnLine, Ed.; pp. 490–495).'
bibtex: '@inproceedings{Faulwasser_Flaßkamp_Ober-Blöbaum_Worthmann_2019, title={Towards
velocity turnpikes in optimal control of mechanical systems}, volume={52(16)},
author={Faulwasser, Tim and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann,
Karl}, editor={IFAC-PapersOnLine}, year={2019}, pages={490–495} }'
chicago: Faulwasser, Tim, K. Flaßkamp, Sina Ober-Blöbaum, and Karl Worthmann. “Towards
Velocity Turnpikes in Optimal Control of Mechanical Systems.” edited by IFAC-PapersOnLine,
52(16):490–95, 2019.
ieee: T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “Towards velocity
turnpikes in optimal control of mechanical systems,” 2019, vol. 52(16), pp. 490–495.
mla: Faulwasser, Tim, et al. Towards Velocity Turnpikes in Optimal Control of
Mechanical Systems. Edited by IFAC-PapersOnLine, vol. 52(16), 2019, pp. 490–95.
short: 'T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine
(Ed.), 2019, pp. 490–495.'
corporate_editor:
- IFAC-PapersOnLine
date_created: 2022-02-17T07:23:52Z
date_updated: 2023-11-08T08:09:01Z
department:
- _id: '636'
language:
- iso: eng
page: 490-495
status: public
title: Towards velocity turnpikes in optimal control of mechanical systems
type: conference
user_id: '15694'
volume: 52(16)
year: '2019'
...
---
_id: '19935'
abstract:
- lang: eng
text: 'A bifurcation is a qualitative change in a family of solutions to an equation
produced by varying parameters. In contrast to the local bifurcations of dynamical
systems that are often related to a change in the number or stability of equilibria,
bifurcations of boundary value problems are global in nature and may not be related
to any obvious change in dynamical behaviour. Catastrophe theory is a well-developed
framework which studies the bifurcations of critical points of functions. In this
paper we study the bifurcations of solutions of boundary-value problems for symplectic
maps, using the language of (finite-dimensional) singularity theory. We associate
certain such problems with a geometric picture involving the intersection of Lagrangian
submanifolds, and hence with the critical points of a suitable generating function.
Within this framework, we then study the effect of three special cases: (i) some
common boundary conditions, such as Dirichlet boundary conditions for second-order
systems, restrict the possible types of bifurcations (for example, in generic
planar systems only the A-series beginning with folds and cusps can occur); (ii)
integrable systems, such as planar Hamiltonian systems, can exhibit a novel periodic
pitchfork bifurcation; and (iii) systems with Hamiltonian symmetries or reversing
symmetries can exhibit restricted bifurcations associated with the symmetry. This
approach offers an alternative to the analysis of critical points in function
spaces, typically used in the study of bifurcation of variational problems, and
opens the way to the detection of more exotic bifurcations than the simple folds
and cusps that are often found in examples. '
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value
problems. Nonlinearity. 2018:2895-2927. doi:10.1088/1361-6544/aab630
apa: McLachlan, R. I., & Offen, C. (2018). Bifurcation of solutions to Hamiltonian
boundary value problems. Nonlinearity, 2895–2927. https://doi.org/10.1088/1361-6544/aab630
bibtex: '@article{McLachlan_Offen_2018, title={Bifurcation of solutions to Hamiltonian
boundary value problems}, DOI={10.1088/1361-6544/aab630},
journal={Nonlinearity}, author={McLachlan, Robert I and Offen, Christian}, year={2018},
pages={2895–2927} }'
chicago: McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to
Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, 2895–2927. https://doi.org/10.1088/1361-6544/aab630.
ieee: R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary
value problems,” Nonlinearity, pp. 2895–2927, 2018.
mla: McLachlan, Robert I., and Christian Offen. “Bifurcation of Solutions to Hamiltonian
Boundary Value Problems.” Nonlinearity, 2018, pp. 2895–927, doi:10.1088/1361-6544/aab630.
short: R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
date_created: 2020-10-06T16:28:36Z
date_updated: 2022-01-06T06:54:14Z
department:
- _id: '636'
doi: 10.1088/1361-6544/aab630
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1088/1361-6544/aab630
page: 2895-2927
publication: Nonlinearity
publication_identifier:
issn:
- 0951-7715
- 1361-6544
publication_status: published
status: public
title: Bifurcation of solutions to Hamiltonian boundary value problems
type: journal_article
user_id: '85279'
year: '2018'
...
---
_id: '19937'
abstract:
- lang: eng
text: Symplectic integrators can be excellent for Hamiltonian initial value problems.
Reasons for this include their preservation of invariant sets like tori, good
energy behaviour, nonexistence of attractors, and good behaviour of statistical
properties. These all refer to {\em long-time} behaviour. They are directly connected
to the dynamical behaviour of symplectic maps φ:M→M' on the phase space under
iteration. Boundary value problems, in contrast, are posed for fixed (and often
quite short) times. Symplecticity manifests as a symplectic map φ:M→M' which is
not iterated. Is there any point, therefore, for a symplectic integrator to be
used on a Hamiltonian boundary value problem? In this paper we announce results
that symplectic integrators preserve bifurcations of Hamiltonian boundary value
problems and that nonsymplectic integrators do not.
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Symplectic integration of boundary value problems. Numerical
Algorithms. 2018:1219-1233. doi:10.1007/s11075-018-0599-7
apa: McLachlan, R. I., & Offen, C. (2018). Symplectic integration of boundary
value problems. Numerical Algorithms, 1219–1233. https://doi.org/10.1007/s11075-018-0599-7
bibtex: '@article{McLachlan_Offen_2018, title={Symplectic integration of boundary
value problems}, DOI={10.1007/s11075-018-0599-7},
journal={Numerical Algorithms}, author={McLachlan, Robert I and Offen, Christian},
year={2018}, pages={1219–1233} }'
chicago: McLachlan, Robert I, and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, 1219–33. https://doi.org/10.1007/s11075-018-0599-7.
ieee: R. I. McLachlan and C. Offen, “Symplectic integration of boundary value problems,”
Numerical Algorithms, pp. 1219–1233, 2018.
mla: McLachlan, Robert I., and Christian Offen. “Symplectic Integration of Boundary
Value Problems.” Numerical Algorithms, 2018, pp. 1219–33, doi:10.1007/s11075-018-0599-7.
short: R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
date_created: 2020-10-06T16:29:14Z
date_updated: 2022-01-06T06:54:14Z
department:
- _id: '636'
doi: 10.1007/s11075-018-0599-7
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://rdcu.be/b79ap
page: 1219-1233
publication: Numerical Algorithms
publication_identifier:
issn:
- 1017-1398
- 1572-9265
publication_status: published
status: public
title: Symplectic integration of boundary value problems
type: journal_article
user_id: '85279'
year: '2018'
...
---
_id: '29425'
author:
- first_name: F.
full_name: Jiménez, F.
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Jiménez F, Ober-Blöbaum S. Necessary optimality conditions for optimally controlled
dissipative mechanical systems modelled through fractional derivatives. In: 6th
European Conference on Computational Mechanics. ; 2018.'
apa: Jiménez, F., & Ober-Blöbaum, S. (2018). Necessary optimality conditions
for optimally controlled dissipative mechanical systems modelled through fractional
derivatives. 6th European Conference on Computational Mechanics.
bibtex: '@inproceedings{Jiménez_Ober-Blöbaum_2018, title={Necessary optimality conditions
for optimally controlled dissipative mechanical systems modelled through fractional
derivatives}, booktitle={6th European Conference on Computational Mechanics},
author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2018} }'
chicago: Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for
Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional
Derivatives.” In 6th European Conference on Computational Mechanics, 2018.
ieee: F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally
controlled dissipative mechanical systems modelled through fractional derivatives,”
2018.
mla: Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally
Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.”
6th European Conference on Computational Mechanics, 2018.
short: 'F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational
Mechanics, 2018.'
conference:
end_date: 2018-06-15
start_date: 2018-06-11
date_created: 2022-01-18T14:49:40Z
date_updated: 2022-01-21T13:51:41Z
department:
- _id: '636'
language:
- iso: eng
publication: 6th European Conference on Computational Mechanics
status: public
title: Necessary optimality conditions for optimally controlled dissipative mechanical
systems modelled through fractional derivatives
type: conference
user_id: '15694'
year: '2018'
...
---
_id: '29427'
author:
- first_name: F.
full_name: Jiménez, F.
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Jiménez F, Ober-Blöbaum S. A fractional variational approach for modelling
dissipative mechanical systems continuous and discrete settings. In: IFAC-PapersOnLine,
ed. 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
LHMNC 2018. Vol 51(3). ; 2018:50-55.'
apa: 'Jiménez, F., & Ober-Blöbaum, S. (2018). A fractional variational approach
for modelling dissipative mechanical systems continuous and discrete settings.
In IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian
Methods for Nonlinear Control LHMNC 2018: Vol. 51(3) (pp. 50–55).'
bibtex: '@inproceedings{Jiménez_Ober-Blöbaum_2018, title={A fractional variational
approach for modelling dissipative mechanical systems continuous and discrete
settings}, volume={51(3)}, booktitle={6th IFAC Workshop on Lagrangian and Hamiltonian
Methods for Nonlinear Control LHMNC 2018}, author={Jiménez, F. and Ober-Blöbaum,
Sina}, editor={IFAC-PapersOnLine}, year={2018}, pages={50–55} }'
chicago: Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach
for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.”
In 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
LHMNC 2018, edited by IFAC-PapersOnLine, 51(3):50–55, 2018.
ieee: F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling
dissipative mechanical systems continuous and discrete settings,” in 6th IFAC
Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018,
2018, vol. 51(3), pp. 50–55.
mla: Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for
Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” 6th
IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC
2018, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55.
short: 'F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop
on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018,
pp. 50–55.'
corporate_editor:
- IFAC-PapersOnLine
date_created: 2022-01-18T14:55:51Z
date_updated: 2022-01-21T13:53:24Z
department:
- _id: '636'
language:
- iso: eng
page: 50-55
publication: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear
Control LHMNC 2018
status: public
title: A fractional variational approach for modelling dissipative mechanical systems
continuous and discrete settings
type: conference
user_id: '15694'
volume: 51(3)
year: '2018'
...
---
_id: '19940'
abstract:
- lang: eng
text: "Two smooth map germs are right-equivalent if and only if they generate two\r\nLagrangian
submanifolds in a cotangent bundle which have the same contact with\r\nthe zero-section.
In this paper we provide a reverse direction to this\r\nclassical result of Golubitsky
and Guillemin. Two Lagrangian submanifolds of a\r\nsymplectic manifold have the
same contact with a third Lagrangian submanifold\r\nif and only if the intersection
problems correspond to stably right equivalent\r\nmap germs. We, therefore, obtain
a correspondence between local Lagrangian\r\nintersection problems and catastrophe
theory while the classical version only\r\ncaptures tangential intersections.
The correspondence is defined independently\r\nof any Lagrangian fibration of
the ambient symplectic manifold, in contrast to\r\nother classical results. Moreover,
we provide an extension of the\r\ncorrespondence to families of local Lagrangian
intersection problems. This\r\ngives rise to a framework which allows a natural
transportation of the notions\r\nof catastrophe theory such as stability, unfolding
and (uni-)versality to the\r\ngeometric setting such that we obtain a classification
of families of local\r\nLagrangian intersection problems. An application is the
classification of\r\nLagrangian boundary value problems for symplectic maps."
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe
theory. arXiv:181110165.
apa: Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to
catastrophe theory. In arXiv:1811.10165.
bibtex: '@article{Offen, title={Local intersections of Lagrangian manifolds correspond
to catastrophe theory}, journal={arXiv:1811.10165}, author={Offen, Christian}
}'
chicago: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond
to Catastrophe Theory.” ArXiv:1811.10165, n.d.
ieee: C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe
theory,” arXiv:1811.10165. .
mla: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to
Catastrophe Theory.” ArXiv:1811.10165.
short: C. Offen, ArXiv:1811.10165 (n.d.).
date_created: 2020-10-06T16:32:45Z
date_updated: 2023-08-10T08:48:55Z
ddc:
- '510'
department:
- _id: '636'
external_id:
arxiv:
- '1811.10165'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2021-12-21T16:01:03Z
date_updated: 2021-12-21T16:01:03Z
description: |-
Two smooth map germs are right-equivalent if and only if they
generate two Lagrangian submanifolds in a cotangent bundle which have the
same contact with the zero-section. In this paper we provide a reverse direction
to this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian
submanifold if and only if the intersection problems correspond to stably right
equivalent map germs. We, therefore, obtain a correspondence between local
Lagrangian intersection problems and catastrophe theory while the classical
version only captures tangential intersections. The correspondence is defined
independently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension
of the correspondence to families of local Lagrangian intersection problems.
This gives rise to a framework which allows a natural transportation of the
notions of catastrophe theory such as stability, unfolding and (uni-)versality
to the geometric setting such that we obtain a classification of families of lo-
cal Lagrangian intersection problems. An application is the classification of
Lagrangian boundary value problems for symplectic maps.
file_id: '29078'
file_name: LocalLagrangianContact.pdf
file_size: 662483
relation: main_file
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
file_date_updated: 2021-12-21T16:01:03Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
publication: arXiv:1811.10165
publication_status: submitted
status: public
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
type: preprint
user_id: '85279'
year: '2018'
...
---
_id: '19943'
abstract:
- lang: eng
text: 'In this paper we continue our study of bifurcations of solutions of boundary-value
problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have
been shown to be connected to catastrophe theory via generating functions and
ordinary and reversal phase space symmetries have been considered. Here we present
a convenient, coordinate free framework to analyse separated Lagrangian boundary
value problems which include classical Dirichlet, Neumann and Robin boundary value
problems. The framework is then used to prove the existence of obstructions arising
from conformal symplectic symmetries on the bifurcation behaviour of solutions
to Hamiltonian boundary value problems. Under non-degeneracy conditions, a group
action by conformal symplectic symmetries has the effect that the flow map cannot
degenerate in a direction which is tangential to the action. This imposes restrictions
on which singularities can occur in boundary value problems. Our results generalise
classical results about conjugate loci on Riemannian manifolds to a large class
of Hamiltonian boundary value problems with, for example, scaling symmetries. '
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic
symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99.
doi:10.53733/34
apa: McLachlan, R. I., & Offen, C. (2018). Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci. New Zealand Journal of
Mathematics, 48, 83–99. https://doi.org/10.53733/34
bibtex: '@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={10.53733/34 }, journal={New Zealand Journal of Mathematics}, author={McLachlan,
Robert I and Offen, Christian}, year={2018}, pages={83–99} }'
chicago: 'McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value
Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand
Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .'
ieee: 'R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal
symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics,
vol. 48, pp. 83–99, 2018, doi: 10.53733/34
.'
mla: McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems,
Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of
Mathematics, vol. 48, 2018, pp. 83–99, doi:10.53733/34 .
short: R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
date_created: 2020-10-06T16:39:08Z
date_updated: 2023-09-21T07:29:24Z
ddc:
- '510'
department:
- _id: '636'
doi: '10.53733/34 '
extern: '1'
external_id:
arxiv:
- '1804.07479'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2020-10-06T16:49:29Z
date_updated: 2020-10-07T14:04:01Z
file_id: '19946'
file_name: Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf
file_size: 3126111
relation: main_file
title: Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and
Conjugate Loci
file_date_updated: 2020-10-07T14:04:01Z
has_accepted_license: '1'
intvolume: ' 48'
keyword:
- Hamiltonian boundary value problems
- singularities
- conformal symplectic geometry
- catastrophe theory
- conjugate loci
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nzjmath.org/index.php/NZJMATH/article/view/34
oa: '1'
page: 83-99
publication: New Zealand Journal of Mathematics
publication_status: published
quality_controlled: '1'
status: public
title: Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate
loci
type: journal_article
user_id: '85279'
volume: 48
year: '2018'
...
---
_id: '29430'
author:
- first_name: T.
full_name: Gail, T.
last_name: Gail
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Gail T, Ober-Blöbaum S, Leyendecker S. Variational multirate integration in
discrete mechanics and optimal control. In: ECCOMAS Thematic Conference on
Multibody Dynamics. ; 2017.'
apa: Gail, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational multirate
integration in discrete mechanics and optimal control. ECCOMAS Thematic Conference
on Multibody Dynamics.
bibtex: '@inproceedings{Gail_Ober-Blöbaum_Leyendecker_2017, title={Variational multirate
integration in discrete mechanics and optimal control}, booktitle={ECCOMAS Thematic
Conference on Multibody Dynamics}, author={Gail, T. and Ober-Blöbaum, Sina and
Leyendecker, S. }, year={2017} }'
chicago: Gail, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Multirate
Integration in Discrete Mechanics and Optimal Control.” In ECCOMAS Thematic
Conference on Multibody Dynamics, 2017.
ieee: T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration
in discrete mechanics and optimal control,” 2017.
mla: Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and
Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
short: 'T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference
on Multibody Dynamics, 2017.'
conference:
end_date: 2017-06-22
start_date: 2017-06-19
date_created: 2022-01-19T10:06:50Z
date_updated: 2022-01-21T14:00:25Z
department:
- _id: '636'
language:
- iso: eng
publication: ECCOMAS Thematic Conference on Multibody Dynamics
status: public
title: Variational multirate integration in discrete mechanics and optimal control
type: conference
user_id: '15694'
year: '2017'
...
---
_id: '29435'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Wenger T, Ober-Blöbaum S, Leyendecker S. Variational integrators of mixed
order for dynamical systems with multiple time scales and split potentials. In:
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering. ; 2016:1818-1831.'
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Variational integrators
of mixed order for dynamical systems with multiple time scales and split potentials.
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 1818–1831.
bibtex: '@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Variational
integrators of mixed order for dynamical systems with multiple time scales and
split potentials}, booktitle={ECCOMAS Congress 2016 - Proceedings of the 7th European
Congress on Computational Methods in Applied Sciences and Engineering}, author={Wenger,
T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016}, pages={1818–1831}
}'
chicago: Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Integrators
of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.”
In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 1818–31, 2016.
ieee: T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of
mixed order for dynamical systems with multiple time scales and split potentials,”
in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
mla: Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems
with Multiple Time Scales and Split Potentials.” ECCOMAS Congress 2016 - Proceedings
of the 7th European Congress on Computational Methods in Applied Sciences and
Engineering, 2016, pp. 1818–31.
short: 'T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 -
Proceedings of the 7th European Congress on Computational Methods in Applied Sciences
and Engineering, 2016, pp. 1818–1831.'
conference:
end_date: 2016-06-10
start_date: 2016-06-05
date_created: 2022-01-19T10:37:22Z
date_updated: 2022-01-21T14:12:34Z
department:
- _id: '636'
language:
- iso: eng
page: 1818-1831
publication: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering
status: public
title: Variational integrators of mixed order for dynamical systems with multiple
time scales and split potentials
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29432'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Wenger T, Ober-Blöbaum S, Leyendecker S. Constrained Galerkin variational
integrators and modified constrained symplectic Runge-Kutta methods. In: International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM). ; 2016.'
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Constrained Galerkin
variational integrators and modified constrained symplectic Runge-Kutta methods.
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM).
bibtex: '@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Constrained
Galerkin variational integrators and modified constrained symplectic Runge-Kutta
methods}, booktitle={International Conference of Numerical Analysis and Applied
Mathematics (ICNAAM)}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker,
S. }, year={2016} }'
chicago: Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Constrained Galerkin
Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.”
In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM),
2016.
ieee: T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational
integrators and modified constrained symplectic Runge-Kutta methods,” 2016.
mla: Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified
Constrained Symplectic Runge-Kutta Methods.” International Conference of Numerical
Analysis and Applied Mathematics (ICNAAM), 2016.
short: 'T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference
of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.'
conference:
end_date: 2016-09-25
start_date: 2016-09-19
date_created: 2022-01-19T10:13:21Z
date_updated: 2022-01-21T14:04:42Z
department:
- _id: '636'
language:
- iso: eng
publication: International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM)
status: public
title: Constrained Galerkin variational integrators and modified constrained symplectic
Runge-Kutta methods
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29433'
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: M.
full_name: Dellnitz, M.
last_name: Dellnitz
citation:
ama: 'Peitz S, Ober-Blöbaum S, Dellnitz M. Reduced order model based multiobjective
optimal control of fluids. In: Proceedings of International Congress of Theoretical
and Applied Mechanics. ; 2016.'
apa: Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2016). Reduced order model
based multiobjective optimal control of fluids. Proceedings of International
Congress of Theoretical and Applied Mechanics.
bibtex: '@inproceedings{Peitz_Ober-Blöbaum_Dellnitz_2016, title={Reduced order model
based multiobjective optimal control of fluids}, booktitle={Proceedings of International
Congress of Theoretical and Applied Mechanics}, author={Peitz, Sebastian and Ober-Blöbaum,
Sina and Dellnitz, M.}, year={2016} }'
chicago: Peitz, Sebastian, Sina Ober-Blöbaum, and M. Dellnitz. “Reduced Order Model
Based Multiobjective Optimal Control of Fluids.” In Proceedings of International
Congress of Theoretical and Applied Mechanics, 2016.
ieee: S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective
optimal control of fluids,” 2016.
mla: Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal
Control of Fluids.” Proceedings of International Congress of Theoretical and
Applied Mechanics, 2016.
short: 'S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International
Congress of Theoretical and Applied Mechanics, 2016.'
conference:
end_date: 2016-08-26
start_date: 2016-08-21
date_created: 2022-01-19T10:17:09Z
date_updated: 2022-01-21T14:05:53Z
department:
- _id: '636'
language:
- iso: eng
publication: Proceedings of International Congress of Theoretical and Applied Mechanics
status: public
title: Reduced order model based multiobjective optimal control of fluids
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29436'
author:
- first_name: 'B. '
full_name: 'Stellato, B. '
last_name: Stellato
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'P.J. '
full_name: 'Goulart, P.J. '
last_name: Goulart
citation:
ama: 'Stellato B, Ober-Blöbaum S, Goulart PJ. Optimal control of switching times
in switched linear systems. In: 2016 IEEE 55th Conference on Decision and Control
(CDC). ; 2016:7228-7233.'
apa: Stellato, B., Ober-Blöbaum, S., & Goulart, P. J. (2016). Optimal control
of switching times in switched linear systems. 2016 IEEE 55th Conference on
Decision and Control (CDC), 7228–7233.
bibtex: '@inproceedings{Stellato_Ober-Blöbaum_Goulart_2016, title={Optimal control
of switching times in switched linear systems}, booktitle={2016 IEEE 55th Conference
on Decision and Control (CDC)}, author={Stellato, B. and Ober-Blöbaum, Sina and
Goulart, P.J. }, year={2016}, pages={7228–7233} }'
chicago: Stellato, B. , Sina Ober-Blöbaum, and P.J. Goulart. “Optimal Control of
Switching Times in Switched Linear Systems.” In 2016 IEEE 55th Conference on
Decision and Control (CDC), 7228–33, 2016.
ieee: B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching
times in switched linear systems,” in 2016 IEEE 55th Conference on Decision
and Control (CDC), 2016, pp. 7228–7233.
mla: Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear
Systems.” 2016 IEEE 55th Conference on Decision and Control (CDC), 2016,
pp. 7228–33.
short: 'B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference
on Decision and Control (CDC), 2016, pp. 7228–7233.'
date_created: 2022-01-19T10:41:04Z
date_updated: 2022-01-21T14:14:00Z
department:
- _id: '636'
language:
- iso: eng
page: 7228-7233
publication: 2016 IEEE 55th Conference on Decision and Control (CDC)
status: public
title: Optimal control of switching times in switched linear systems
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29402'
author:
- first_name: K.
full_name: Flaßkamp, K.
last_name: Flaßkamp
- first_name: S.
full_name: Hage-Packhäuser, S.
last_name: Hage-Packhäuser
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Flaßkamp K, Hage-Packhäuser S, Ober-Blöbaum S. Symmetry exploiting control
of hybrid mechanical systems. Journal of Computational Dynamics. 2015;2(1):25-50.
apa: Flaßkamp, K., Hage-Packhäuser, S., & Ober-Blöbaum, S. (2015). Symmetry
exploiting control of hybrid mechanical systems. Journal of Computational Dynamics,
2(1), 25–50.
bibtex: '@article{Flaßkamp_Hage-Packhäuser_Ober-Blöbaum_2015, title={Symmetry exploiting
control of hybrid mechanical systems}, volume={2(1)}, journal={Journal of Computational
Dynamics}, author={Flaßkamp, K. and Hage-Packhäuser, S. and Ober-Blöbaum, Sina},
year={2015}, pages={25–50} }'
chicago: 'Flaßkamp, K., S. Hage-Packhäuser, and Sina Ober-Blöbaum. “Symmetry Exploiting
Control of Hybrid Mechanical Systems.” Journal of Computational Dynamics
2(1) (2015): 25–50.'
ieee: K. Flaßkamp, S. Hage-Packhäuser, and S. Ober-Blöbaum, “Symmetry exploiting
control of hybrid mechanical systems,” Journal of Computational Dynamics,
vol. 2(1), pp. 25–50, 2015.
mla: Flaßkamp, K., et al. “Symmetry Exploiting Control of Hybrid Mechanical Systems.”
Journal of Computational Dynamics, vol. 2(1), 2015, pp. 25–50.
short: K. Flaßkamp, S. Hage-Packhäuser, S. Ober-Blöbaum, Journal of Computational
Dynamics 2(1) (2015) 25–50.
date_created: 2022-01-18T11:41:57Z
date_updated: 2022-01-21T08:26:14Z
department:
- _id: '636'
language:
- iso: eng
page: 25-50
publication: Journal of Computational Dynamics
status: public
title: Symmetry exploiting control of hybrid mechanical systems
type: journal_article
user_id: '15694'
volume: 2(1)
year: '2015'
...
---
_id: '29403'
author:
- first_name: C. M.
full_name: Campos, C. M.
last_name: Campos
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: E.
full_name: Trélat, E.
last_name: Trélat
citation:
ama: Campos CM, Ober-Blöbaum S, Trélat E. High order variational integrators in
the optimal control of mechanical systems. Discrete and Continuous Dynamical
Systems. 2015;35(9):4193-4223.
apa: Campos, C. M., Ober-Blöbaum, S., & Trélat, E. (2015). High order variational
integrators in the optimal control of mechanical systems. Discrete and Continuous
Dynamical Systems, 35(9), 4193–4223.
bibtex: '@article{Campos_Ober-Blöbaum_Trélat_2015, title={High order variational
integrators in the optimal control of mechanical systems}, volume={35(9)}, journal={Discrete
and Continuous Dynamical Systems}, author={Campos, C. M. and Ober-Blöbaum, Sina
and Trélat, E.}, year={2015}, pages={4193–4223} }'
chicago: 'Campos, C. M., Sina Ober-Blöbaum, and E. Trélat. “High Order Variational
Integrators in the Optimal Control of Mechanical Systems.” Discrete and Continuous
Dynamical Systems 35(9) (2015): 4193–4223.'
ieee: C. M. Campos, S. Ober-Blöbaum, and E. Trélat, “High order variational integrators
in the optimal control of mechanical systems,” Discrete and Continuous Dynamical
Systems, vol. 35(9), pp. 4193–4223, 2015.
mla: Campos, C. M., et al. “High Order Variational Integrators in the Optimal Control
of Mechanical Systems.” Discrete and Continuous Dynamical Systems, vol.
35(9), 2015, pp. 4193–223.
short: C.M. Campos, S. Ober-Blöbaum, E. Trélat, Discrete and Continuous Dynamical
Systems 35(9) (2015) 4193–4223.
date_created: 2022-01-18T11:45:51Z
date_updated: 2022-01-21T10:28:48Z
department:
- _id: '636'
language:
- iso: eng
page: 4193-4223
publication: Discrete and Continuous Dynamical Systems
status: public
title: High order variational integrators in the optimal control of mechanical systems
type: journal_article
user_id: '15694'
volume: 35(9)
year: '2015'
...
---
_id: '29440'
author:
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: H.
full_name: Lindhorst, H.
last_name: Lindhorst
citation:
ama: 'Ober-Blöbaum S, Lindhorst H. Variational formulation and structure-preserving
discretization of nonlinear electric circuits. In: 21st International Symposium
on Mathematical Theory of Networks and Systems. ; 2014.'
apa: Ober-Blöbaum, S., & Lindhorst, H. (2014). Variational formulation and structure-preserving
discretization of nonlinear electric circuits. 21st International Symposium
on Mathematical Theory of Networks and Systems.
bibtex: '@inproceedings{Ober-Blöbaum_Lindhorst_2014, title={Variational formulation
and structure-preserving discretization of nonlinear electric circuits}, booktitle={21st
International Symposium on Mathematical Theory of Networks and Systems}, author={Ober-Blöbaum,
Sina and Lindhorst, H.}, year={2014} }'
chicago: Ober-Blöbaum, Sina, and H. Lindhorst. “Variational Formulation and Structure-Preserving
Discretization of Nonlinear Electric Circuits.” In 21st International Symposium
on Mathematical Theory of Networks and Systems, 2014.
ieee: S. Ober-Blöbaum and H. Lindhorst, “Variational formulation and structure-preserving
discretization of nonlinear electric circuits,” Netherlands, 2014.
mla: Ober-Blöbaum, Sina, and H. Lindhorst. “Variational Formulation and Structure-Preserving
Discretization of Nonlinear Electric Circuits.” 21st International Symposium
on Mathematical Theory of Networks and Systems, 2014.
short: 'S. Ober-Blöbaum, H. Lindhorst, in: 21st International Symposium on Mathematical
Theory of Networks and Systems, 2014.'
conference:
end_date: 2014-07-11
location: Netherlands
start_date: 2014-07-07
date_created: 2022-01-19T10:57:52Z
date_updated: 2022-01-21T08:21:22Z
department:
- _id: '636'
language:
- iso: eng
publication: 21st International Symposium on Mathematical Theory of Networks and Systems
status: public
title: Variational formulation and structure-preserving discretization of nonlinear
electric circuits
type: conference
user_id: '15694'
year: '2014'
...
---
_id: '29438'
author:
- first_name: T.
full_name: Gail, T.
last_name: Gail
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Gail T, Leyendecker S, Ober-Blöbaum S. On the role of quadrature rules and
system dimensions in variational multirate integrators. In: 3rd Joint Interntaional
Conference on Multibody System Dynamics . ; 2014.'
apa: Gail, T., Leyendecker, S., & Ober-Blöbaum, S. (2014). On the role of quadrature
rules and system dimensions in variational multirate integrators. 3rd Joint
Interntaional Conference on Multibody System Dynamics .
bibtex: '@inproceedings{Gail_Leyendecker_Ober-Blöbaum_2014, title={On the role of
quadrature rules and system dimensions in variational multirate integrators},
booktitle={3rd Joint Interntaional Conference on Multibody System Dynamics },
author={Gail, T. and Leyendecker, S. and Ober-Blöbaum, Sina}, year={2014} }'
chicago: Gail, T., S. Leyendecker, and Sina Ober-Blöbaum. “On the Role of Quadrature
Rules and System Dimensions in Variational Multirate Integrators.” In 3rd Joint
Interntaional Conference on Multibody System Dynamics , 2014.
ieee: T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “On the role of quadrature rules
and system dimensions in variational multirate integrators,” 2014.
mla: Gail, T., et al. “On the Role of Quadrature Rules and System Dimensions in
Variational Multirate Integrators.” 3rd Joint Interntaional Conference on Multibody
System Dynamics , 2014.
short: 'T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: 3rd Joint Interntaional Conference
on Multibody System Dynamics , 2014.'
conference:
end_date: 2014-07-03
start_date: 2014-06-30
date_created: 2022-01-19T10:53:27Z
date_updated: 2022-01-21T08:21:36Z
department:
- _id: '636'
language:
- iso: eng
publication: '3rd Joint Interntaional Conference on Multibody System Dynamics '
status: public
title: On the role of quadrature rules and system dimensions in variational multirate
integrators
type: conference
user_id: '15694'
year: '2014'
...
---
_id: '20085'
author:
- first_name: Ansgar
full_name: Trächtler, Ansgar
last_name: Trächtler
- first_name: Bernd
full_name: Kleinjohann, Bernd
last_name: Kleinjohann
- first_name: Christian
full_name: Heinzemann, Christian
last_name: Heinzemann
- first_name: Christoph
full_name: Rasche, Christoph
last_name: Rasche
- first_name: Claudia
full_name: Priesterjahn, Claudia
last_name: Priesterjahn
- first_name: Dominik
full_name: Steenken, Dominik
last_name: Steenken
- first_name: Heike
full_name: Wehrheim, Heike
last_name: Wehrheim
- first_name: Jürgen
full_name: Gausemeier, Jürgen
last_name: Gausemeier
- first_name: Kathrin
full_name: Flaßkamp, Kathrin
last_name: Flaßkamp
- first_name: Lisa
full_name: Kleinjohann, Lisa
last_name: Kleinjohann
- first_name: Martin
full_name: Krüger, Martin
last_name: Krüger
- first_name: Peter
full_name: Iwanek, Peter
last_name: Iwanek
- first_name: Philip
full_name: Hartmann, Philip
last_name: Hartmann
- first_name: Rafal
full_name: Dorociak, Rafal
last_name: Dorociak
- first_name: Stefan
full_name: Groesbrink, Stefan
last_name: Groesbrink
- first_name: Steffen
full_name: Ziegert, Steffen
last_name: Ziegert
- first_name: Tobias
full_name: Meyer, Tobias
last_name: Meyer
- first_name: Walter
full_name: Sextro, Walter
last_name: Sextro
- first_name: Wilhelm
full_name: Schäfer, Wilhelm
last_name: Schäfer
citation:
ama: 'Trächtler A, Kleinjohann B, Heinzemann C, et al. Case Study. In: Gausemeier
J, Josef Rammig F, Schäfer W, Sextro W, eds. Dependability of Self-Optimizing
Mechatronic Systems. Lecture Notes in Mechanical Engineering. Springer Berlin
Heidelberg; 2014:173-188. doi:10.1007/978-3-642-53742-4_4'
apa: Trächtler, A., Kleinjohann, B., Heinzemann, C., Rasche, C., Priesterjahn, C.,
Steenken, D., Wehrheim, H., Gausemeier, J., Flaßkamp, K., Kleinjohann, L., Krüger,
M., Iwanek, P., Hartmann, P., Dorociak, R., Groesbrink, S., Ziegert, S., Meyer,
T., Sextro, W., & Schäfer, W. (2014). Case Study. In J. Gausemeier, F. Josef
Rammig, W. Schäfer, & W. Sextro (Eds.), Dependability of Self-Optimizing
Mechatronic Systems (pp. 173–188). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-53742-4_4
bibtex: '@inbook{Trächtler_Kleinjohann_Heinzemann_Rasche_Priesterjahn_Steenken_Wehrheim_Gausemeier_Flaßkamp_Kleinjohann_et
al._2014, series={Lecture Notes in Mechanical Engineering}, title={Case Study},
DOI={10.1007/978-3-642-53742-4_4},
booktitle={Dependability of Self-Optimizing Mechatronic Systems}, publisher={Springer
Berlin Heidelberg}, author={Trächtler, Ansgar and Kleinjohann, Bernd and Heinzemann,
Christian and Rasche, Christoph and Priesterjahn, Claudia and Steenken, Dominik
and Wehrheim, Heike and Gausemeier, Jürgen and Flaßkamp, Kathrin and Kleinjohann,
Lisa and et al.}, editor={Gausemeier, Jürgen and Josef Rammig, Franz and Schäfer,
Wilhelm and Sextro, Walter}, year={2014}, pages={173–188}, collection={Lecture
Notes in Mechanical Engineering} }'
chicago: Trächtler, Ansgar, Bernd Kleinjohann, Christian Heinzemann, Christoph Rasche,
Claudia Priesterjahn, Dominik Steenken, Heike Wehrheim, et al. “Case Study.” In
Dependability of Self-Optimizing Mechatronic Systems, edited by Jürgen
Gausemeier, Franz Josef Rammig, Wilhelm Schäfer, and Walter Sextro, 173–88. Lecture
Notes in Mechanical Engineering. Springer Berlin Heidelberg, 2014. https://doi.org/10.1007/978-3-642-53742-4_4.
ieee: A. Trächtler et al., “Case Study,” in Dependability of Self-Optimizing
Mechatronic Systems, J. Gausemeier, F. Josef Rammig, W. Schäfer, and W. Sextro,
Eds. Springer Berlin Heidelberg, 2014, pp. 173–188.
mla: Trächtler, Ansgar, et al. “Case Study.” Dependability of Self-Optimizing
Mechatronic Systems, edited by Jürgen Gausemeier et al., Springer Berlin Heidelberg,
2014, pp. 173–88, doi:10.1007/978-3-642-53742-4_4.
short: 'A. Trächtler, B. Kleinjohann, C. Heinzemann, C. Rasche, C. Priesterjahn,
D. Steenken, H. Wehrheim, J. Gausemeier, K. Flaßkamp, L. Kleinjohann, M. Krüger,
P. Iwanek, P. Hartmann, R. Dorociak, S. Groesbrink, S. Ziegert, T. Meyer, W. Sextro,
W. Schäfer, in: J. Gausemeier, F. Josef Rammig, W. Schäfer, W. Sextro (Eds.),
Dependability of Self-Optimizing Mechatronic Systems, Springer Berlin Heidelberg,
2014, pp. 173–188.'
date_created: 2020-10-15T15:58:13Z
date_updated: 2022-01-21T09:23:16Z
department:
- _id: '636'
doi: 10.1007/978-3-642-53742-4_4
editor:
- first_name: Jürgen
full_name: Gausemeier, Jürgen
last_name: Gausemeier
- first_name: Franz
full_name: Josef Rammig, Franz
last_name: Josef Rammig
- first_name: Wilhelm
full_name: Schäfer, Wilhelm
last_name: Schäfer
- first_name: Walter
full_name: Sextro, Walter
last_name: Sextro
language:
- iso: eng
page: 173-188
publication: Dependability of Self-Optimizing Mechatronic Systems
publication_identifier:
isbn:
- 978-3-642-53741-7
publisher: Springer Berlin Heidelberg
series_title: Lecture Notes in Mechanical Engineering
status: public
title: Case Study
type: book_chapter
user_id: '15694'
year: '2014'
...