---
_id: '16590'
author:
- first_name: Kathrin
  full_name: Flaßkamp, Kathrin
  last_name: Flaßkamp
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Marin
  full_name: Kobilarov, Marin
  last_name: Kobilarov
citation:
  ama: Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving optimal control problems by
    using inherent dynamical properties. <i>PAMM</i>. 2010:577-578. doi:<a href="https://doi.org/10.1002/pamm.201010281">10.1002/pamm.201010281</a>
  apa: Flaßkamp, K., Ober-Blöbaum, S., &#38; Kobilarov, M. (2010). Solving optimal
    control problems by using inherent dynamical properties. <i>PAMM</i>, 577–578.
    <a href="https://doi.org/10.1002/pamm.201010281">https://doi.org/10.1002/pamm.201010281</a>
  bibtex: '@article{Flaßkamp_Ober-Blöbaum_Kobilarov_2010, title={Solving optimal control
    problems by using inherent dynamical properties}, DOI={<a href="https://doi.org/10.1002/pamm.201010281">10.1002/pamm.201010281</a>},
    journal={PAMM}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Kobilarov,
    Marin}, year={2010}, pages={577–578} }'
  chicago: Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Marin Kobilarov. “Solving Optimal
    Control Problems by Using Inherent Dynamical Properties.” <i>PAMM</i>, 2010, 577–78.
    <a href="https://doi.org/10.1002/pamm.201010281">https://doi.org/10.1002/pamm.201010281</a>.
  ieee: K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems
    by using inherent dynamical properties,” <i>PAMM</i>, pp. 577–578, 2010.
  mla: Flaßkamp, Kathrin, et al. “Solving Optimal Control Problems by Using Inherent
    Dynamical Properties.” <i>PAMM</i>, 2010, pp. 577–78, doi:<a href="https://doi.org/10.1002/pamm.201010281">10.1002/pamm.201010281</a>.
  short: K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, PAMM (2010) 577–578.
date_created: 2020-04-16T05:50:45Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1002/pamm.201010281
language:
- iso: eng
page: 577-578
publication: PAMM
publication_identifier:
  issn:
  - 1617-7061
publication_status: published
status: public
title: Solving optimal control problems by using inherent dynamical properties
type: journal_article
user_id: '15701'
year: '2010'
...
---
_id: '16673'
author:
- first_name: Marco
  full_name: Tantardini, Marco
  last_name: Tantardini
- first_name: Elena
  full_name: Fantino, Elena
  last_name: Fantino
- first_name: Yuan
  full_name: Ren, Yuan
  last_name: Ren
- first_name: Pierpaolo
  full_name: Pergola, Pierpaolo
  last_name: Pergola
- first_name: Gerard
  full_name: Gómez, Gerard
  last_name: Gómez
- first_name: Josep J.
  full_name: Masdemont, Josep J.
  last_name: Masdemont
citation:
  ama: Tantardini M, Fantino E, Ren Y, Pergola P, Gómez G, Masdemont JJ. Spacecraft
    trajectories to the L3 point of the Sun–Earth three-body problem. <i>Celestial
    Mechanics and Dynamical Astronomy</i>. 2010:215-232. doi:<a href="https://doi.org/10.1007/s10569-010-9299-x">10.1007/s10569-010-9299-x</a>
  apa: Tantardini, M., Fantino, E., Ren, Y., Pergola, P., Gómez, G., &#38; Masdemont,
    J. J. (2010). Spacecraft trajectories to the L3 point of the Sun–Earth three-body
    problem. <i>Celestial Mechanics and Dynamical Astronomy</i>, 215–232. <a href="https://doi.org/10.1007/s10569-010-9299-x">https://doi.org/10.1007/s10569-010-9299-x</a>
  bibtex: '@article{Tantardini_Fantino_Ren_Pergola_Gómez_Masdemont_2010, title={Spacecraft
    trajectories to the L3 point of the Sun–Earth three-body problem}, DOI={<a href="https://doi.org/10.1007/s10569-010-9299-x">10.1007/s10569-010-9299-x</a>},
    journal={Celestial Mechanics and Dynamical Astronomy}, author={Tantardini, Marco
    and Fantino, Elena and Ren, Yuan and Pergola, Pierpaolo and Gómez, Gerard and
    Masdemont, Josep J.}, year={2010}, pages={215–232} }'
  chicago: Tantardini, Marco, Elena Fantino, Yuan Ren, Pierpaolo Pergola, Gerard Gómez,
    and Josep J. Masdemont. “Spacecraft Trajectories to the L3 Point of the Sun–Earth
    Three-Body Problem.” <i>Celestial Mechanics and Dynamical Astronomy</i>, 2010,
    215–32. <a href="https://doi.org/10.1007/s10569-010-9299-x">https://doi.org/10.1007/s10569-010-9299-x</a>.
  ieee: M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, and J. J. Masdemont,
    “Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem,”
    <i>Celestial Mechanics and Dynamical Astronomy</i>, pp. 215–232, 2010.
  mla: Tantardini, Marco, et al. “Spacecraft Trajectories to the L3 Point of the Sun–Earth
    Three-Body Problem.” <i>Celestial Mechanics and Dynamical Astronomy</i>, 2010,
    pp. 215–32, doi:<a href="https://doi.org/10.1007/s10569-010-9299-x">10.1007/s10569-010-9299-x</a>.
  short: M. Tantardini, E. Fantino, Y. Ren, P. Pergola, G. Gómez, J.J. Masdemont,
    Celestial Mechanics and Dynamical Astronomy (2010) 215–232.
date_created: 2020-04-16T10:09:58Z
date_updated: 2022-01-06T06:52:54Z
department:
- _id: '101'
doi: 10.1007/s10569-010-9299-x
language:
- iso: eng
page: 215-232
publication: Celestial Mechanics and Dynamical Astronomy
publication_identifier:
  issn:
  - 0923-2958
  - 1572-9478
publication_status: published
status: public
title: Spacecraft trajectories to the L3 point of the Sun–Earth three-body problem
type: journal_article
user_id: '15701'
year: '2010'
...
---
_id: '16675'
author:
- first_name: Bianca
  full_name: Thiere, Bianca
  last_name: Thiere
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Pierpaolo
  full_name: Pergola, Pierpaolo
  last_name: Pergola
citation:
  ama: 'Thiere B, Ober-Blöbaum S, Pergola P. Detecting Initial Guesses for Trajectories
    in the (P)CRTBP. In: <i>AIAA/AAS Astrodynamics Specialist Conference</i>. ; 2010.
    doi:<a href="https://doi.org/10.2514/6.2010-7962">10.2514/6.2010-7962</a>'
  apa: Thiere, B., Ober-Blöbaum, S., &#38; Pergola, P. (2010). Detecting Initial Guesses
    for Trajectories in the (P)CRTBP. In <i>AIAA/AAS Astrodynamics Specialist Conference</i>.
    <a href="https://doi.org/10.2514/6.2010-7962">https://doi.org/10.2514/6.2010-7962</a>
  bibtex: '@inproceedings{Thiere_Ober-Blöbaum_Pergola_2010, title={Detecting Initial
    Guesses for Trajectories in the (P)CRTBP}, DOI={<a href="https://doi.org/10.2514/6.2010-7962">10.2514/6.2010-7962</a>},
    booktitle={AIAA/AAS Astrodynamics Specialist Conference}, author={Thiere, Bianca
    and Ober-Blöbaum, Sina and Pergola, Pierpaolo}, year={2010} }'
  chicago: Thiere, Bianca, Sina Ober-Blöbaum, and Pierpaolo Pergola. “Detecting Initial
    Guesses for Trajectories in the (P)CRTBP.” In <i>AIAA/AAS Astrodynamics Specialist
    Conference</i>, 2010. <a href="https://doi.org/10.2514/6.2010-7962">https://doi.org/10.2514/6.2010-7962</a>.
  ieee: B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting Initial Guesses for
    Trajectories in the (P)CRTBP,” in <i>AIAA/AAS Astrodynamics Specialist Conference</i>,
    2010.
  mla: Thiere, Bianca, et al. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.”
    <i>AIAA/AAS Astrodynamics Specialist Conference</i>, 2010, doi:<a href="https://doi.org/10.2514/6.2010-7962">10.2514/6.2010-7962</a>.
  short: 'B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist
    Conference, 2010.'
date_created: 2020-04-16T10:11:57Z
date_updated: 2022-01-06T06:52:54Z
department:
- _id: '101'
doi: 10.2514/6.2010-7962
language:
- iso: eng
publication: AIAA/AAS Astrodynamics Specialist Conference
publication_identifier:
  isbn:
  - '9781624101502'
publication_status: published
status: public
title: Detecting Initial Guesses for Trajectories in the (P)CRTBP
type: conference
user_id: '15701'
year: '2010'
...
---
_id: '29411'
author:
- first_name: 'S. '
  full_name: 'Leyendecker, S. '
  last_name: Leyendecker
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: J. E.
  full_name: Marsden, J. E.
  last_name: Marsden
- first_name: M.
  full_name: Ortiz, M.
  last_name: Ortiz
citation:
  ama: Leyendecker S, Ober-Blöbaum S, Marsden JE, Ortiz M. Discrete mechanics and
    optimal control for constrained systems. <i>Optimal Control, Applications and
    Methods</i>. 2010;31(6):505-528.
  apa: Leyendecker, S., Ober-Blöbaum, S., Marsden, J. E., &#38; Ortiz, M. (2010).
    Discrete mechanics and optimal control for constrained systems. <i>Optimal Control,
    Applications and Methods</i>, <i>31(6)</i>, 505–528.
  bibtex: '@article{Leyendecker_Ober-Blöbaum_Marsden_Ortiz_2010, title={Discrete mechanics
    and optimal control for constrained systems}, volume={31(6)}, journal={Optimal
    Control, Applications and Methods}, author={Leyendecker, S.  and Ober-Blöbaum,
    Sina and Marsden, J. E. and Ortiz, M.}, year={2010}, pages={505–528} }'
  chicago: 'Leyendecker, S. , Sina Ober-Blöbaum, J. E. Marsden, and M. Ortiz. “Discrete
    Mechanics and Optimal Control for Constrained Systems.” <i>Optimal Control, Applications
    and Methods</i> 31(6) (2010): 505–28.'
  ieee: S. Leyendecker, S. Ober-Blöbaum, J. E. Marsden, and M. Ortiz, “Discrete mechanics
    and optimal control for constrained systems,” <i>Optimal Control, Applications
    and Methods</i>, vol. 31(6), pp. 505–528, 2010.
  mla: Leyendecker, S., et al. “Discrete Mechanics and Optimal Control for Constrained
    Systems.” <i>Optimal Control, Applications and Methods</i>, vol. 31(6), 2010,
    pp. 505–28.
  short: S. Leyendecker, S. Ober-Blöbaum, J.E. Marsden, M. Ortiz, Optimal Control,
    Applications and Methods 31(6) (2010) 505–528.
date_created: 2022-01-18T12:46:27Z
date_updated: 2022-01-21T10:43:05Z
department:
- _id: '636'
language:
- iso: eng
page: 505-528
publication: Optimal Control, Applications and Methods
status: public
title: Discrete mechanics and optimal control for constrained systems
type: journal_article
user_id: '15694'
volume: 31(6)
year: '2010'
...
---
_id: '29468'
author:
- first_name: A.
  full_name: Moore, A.
  last_name: Moore
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: J.E.
  full_name: Marsden, J.E.
  last_name: Marsden
citation:
  ama: 'Moore A, Ober-Blöbaum S, Marsden JE. The effect of mesh refinement on spacecraft
    trajectory design using descrete mechanics and optimal control. In: <i>4th European
    Conference on Computational Mechanics </i>. ; 2010.'
  apa: Moore, A., Ober-Blöbaum, S., &#38; Marsden, J. E. (2010). The effect of mesh
    refinement on spacecraft trajectory design using descrete mechanics and optimal
    control. <i>4th European Conference on Computational Mechanics </i>.
  bibtex: '@inproceedings{Moore_Ober-Blöbaum_Marsden_2010, title={The effect of mesh
    refinement on spacecraft trajectory design using descrete mechanics and optimal
    control}, booktitle={4th European Conference on Computational Mechanics }, author={Moore,
    A. and Ober-Blöbaum, Sina and Marsden, J.E.}, year={2010} }'
  chicago: Moore, A., Sina Ober-Blöbaum, and J.E. Marsden. “The Effect of Mesh Refinement
    on Spacecraft Trajectory Design Using Descrete Mechanics and Optimal Control.”
    In <i>4th European Conference on Computational Mechanics </i>, 2010.
  ieee: A. Moore, S. Ober-Blöbaum, and J. E. Marsden, “The effect of mesh refinement
    on spacecraft trajectory design using descrete mechanics and optimal control,”
    Paris, France, 2010.
  mla: Moore, A., et al. “The Effect of Mesh Refinement on Spacecraft Trajectory Design
    Using Descrete Mechanics and Optimal Control.” <i>4th European Conference on Computational
    Mechanics </i>, 2010.
  short: 'A. Moore, S. Ober-Blöbaum, J.E. Marsden, in: 4th European Conference on
    Computational Mechanics , 2010.'
conference:
  end_date: 2010-05-21
  location: Paris, France
  start_date: 2010-05-16
date_created: 2022-01-19T14:00:37Z
date_updated: 2022-01-24T07:23:27Z
department:
- _id: '636'
language:
- iso: eng
publication: '4th European Conference on Computational Mechanics '
status: public
title: The effect of mesh refinement on spacecraft trajectory design using descrete
  mechanics and optimal control
type: conference
user_id: '15694'
year: '2010'
...
---
_id: '29467'
author:
- first_name: B.
  full_name: Thiere, B.
  last_name: Thiere
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: P.
  full_name: Pergola, P.
  last_name: Pergola
citation:
  ama: 'Thiere B, Ober-Blöbaum S, Pergola P. Detecting initial guesses for trajectories
    in the (P)CRTBP. In: <i>AIAA/AAS Astrodynamics Specialist Conference</i>. ; 2010.'
  apa: Thiere, B., Ober-Blöbaum, S., &#38; Pergola, P. (2010). Detecting initial guesses
    for trajectories in the (P)CRTBP. <i>AIAA/AAS Astrodynamics Specialist Conference</i>.
  bibtex: '@inproceedings{Thiere_Ober-Blöbaum_Pergola_2010, title={Detecting initial
    guesses for trajectories in the (P)CRTBP}, booktitle={AIAA/AAS Astrodynamics Specialist
    Conference}, author={Thiere, B. and Ober-Blöbaum, Sina and Pergola, P.}, year={2010}
    }'
  chicago: Thiere, B., Sina Ober-Blöbaum, and P. Pergola. “Detecting Initial Guesses
    for Trajectories in the (P)CRTBP.” In <i>AIAA/AAS Astrodynamics Specialist Conference</i>,
    2010.
  ieee: B. Thiere, S. Ober-Blöbaum, and P. Pergola, “Detecting initial guesses for
    trajectories in the (P)CRTBP,” Toronto, Canada, USA, 2010.
  mla: Thiere, B., et al. “Detecting Initial Guesses for Trajectories in the (P)CRTBP.”
    <i>AIAA/AAS Astrodynamics Specialist Conference</i>, 2010.
  short: 'B. Thiere, S. Ober-Blöbaum, P. Pergola, in: AIAA/AAS Astrodynamics Specialist
    Conference, 2010.'
conference:
  end_date: 2010-08-05
  location: Toronto, Canada, USA
  start_date: 2010-08-02
date_created: 2022-01-19T13:57:50Z
date_updated: 2022-01-24T07:22:43Z
department:
- _id: '636'
language:
- iso: eng
publication: AIAA/AAS Astrodynamics Specialist Conference
status: public
title: Detecting initial guesses for trajectories in the (P)CRTBP
type: conference
user_id: '15694'
year: '2010'
...
---
_id: '29496'
author:
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: A.
  full_name: Walther, A.
  last_name: Walther
citation:
  ama: 'Ober-Blöbaum S, Walther A. Computation of derivatives for structure preserving
    optimal control using automatic differentiation. In: <i>Proceedings of Applied
    Mathematics and Mechanics</i>. Vol 10(1). ; 2010:585-586.'
  apa: Ober-Blöbaum, S., &#38; Walther, A. (2010). Computation of derivatives for
    structure preserving optimal control using automatic differentiation. <i>Proceedings
    of Applied Mathematics and Mechanics</i>, <i>10(1)</i>, 585–586.
  bibtex: '@inproceedings{Ober-Blöbaum_Walther_2010, title={Computation of derivatives
    for structure preserving optimal control using automatic differentiation}, volume={10(1)},
    booktitle={Proceedings of Applied Mathematics and Mechanics}, author={Ober-Blöbaum,
    Sina and Walther, A.}, year={2010}, pages={585–586} }'
  chicago: Ober-Blöbaum, Sina, and A. Walther. “Computation of Derivatives for Structure
    Preserving Optimal Control Using Automatic Differentiation.” In <i>Proceedings
    of Applied Mathematics and Mechanics</i>, 10(1):585–86, 2010.
  ieee: S. Ober-Blöbaum and A. Walther, “Computation of derivatives for structure
    preserving optimal control using automatic differentiation,” in <i>Proceedings
    of Applied Mathematics and Mechanics</i>, 2010, vol. 10(1), pp. 585–586.
  mla: Ober-Blöbaum, Sina, and A. Walther. “Computation of Derivatives for Structure
    Preserving Optimal Control Using Automatic Differentiation.” <i>Proceedings of
    Applied Mathematics and Mechanics</i>, vol. 10(1), 2010, pp. 585–86.
  short: 'S. Ober-Blöbaum, A. Walther, in: Proceedings of Applied Mathematics and
    Mechanics, 2010, pp. 585–586.'
date_created: 2022-01-20T09:21:37Z
date_updated: 2022-01-24T08:23:58Z
department:
- _id: '636'
language:
- iso: eng
page: 585-586
publication: Proceedings of Applied Mathematics and Mechanics
status: public
title: Computation of derivatives for structure preserving optimal control using automatic
  differentiation
type: conference
user_id: '15694'
volume: 10(1)
year: '2010'
...
---
_id: '29495'
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: M.
  full_name: Kobilarov, M.
  last_name: Kobilarov
citation:
  ama: 'Flaßkamp K, Ober-Blöbaum S, Kobilarov M. Solving optimal control problems
    by using inherent dynamical properties. In: <i>Proceedings of Applied Mathematics
    and Mechanics</i>. Vol 10(1). ; 2010:577-578.'
  apa: Flaßkamp, K., Ober-Blöbaum, S., &#38; Kobilarov, M. (2010). Solving optimal
    control problems by using inherent dynamical properties. <i>Proceedings of Applied
    Mathematics and Mechanics</i>, <i>10(1)</i>, 577–578.
  bibtex: '@inproceedings{Flaßkamp_Ober-Blöbaum_Kobilarov_2010, title={Solving optimal
    control problems by using inherent dynamical properties}, volume={10(1)}, booktitle={Proceedings
    of Applied Mathematics and Mechanics}, author={Flaßkamp, K. and Ober-Blöbaum,
    Sina and Kobilarov, M.}, year={2010}, pages={577–578} }'
  chicago: Flaßkamp, K., Sina Ober-Blöbaum, and M. Kobilarov. “Solving Optimal Control
    Problems by Using Inherent Dynamical Properties.” In <i>Proceedings of Applied
    Mathematics and Mechanics</i>, 10(1):577–78, 2010.
  ieee: K. Flaßkamp, S. Ober-Blöbaum, and M. Kobilarov, “Solving optimal control problems
    by using inherent dynamical properties,” in <i>Proceedings of Applied Mathematics
    and Mechanics</i>, 2010, vol. 10(1), pp. 577–578.
  mla: Flaßkamp, K., et al. “Solving Optimal Control Problems by Using Inherent Dynamical
    Properties.” <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 10(1),
    2010, pp. 577–78.
  short: 'K. Flaßkamp, S. Ober-Blöbaum, M. Kobilarov, in: Proceedings of Applied Mathematics
    and Mechanics, 2010, pp. 577–578.'
date_created: 2022-01-20T09:19:19Z
date_updated: 2022-01-24T08:23:05Z
department:
- _id: '636'
language:
- iso: eng
page: 577-578
publication: Proceedings of Applied Mathematics and Mechanics
status: public
title: Solving optimal control problems by using inherent dynamical properties
type: conference
user_id: '15694'
volume: 10(1)
year: '2010'
...
---
_id: '34886'
abstract:
- lang: eng
  text: We give asymptotic upper and lower bounds for the number of squarefree d (0
    < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as
    usual, can equivalently be interpreted in terms of real quadratic fields with
    a fundamental unit with norm −1 and give strong evidence in the direction of a
    conjecture due to P. Stevenhagen.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the negative Pell equation. <i>Annals of Mathematics</i>.
    2010;172(3):2035-2104. doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the negative Pell equation. <i>Annals
    of Mathematics</i>, <i>172</i>(3), 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the negative Pell equation}, volume={172},
    DOI={<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>},
    number={3}, journal={Annals of Mathematics}, publisher={Annals of Mathematics},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={2035–2104} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.”
    <i>Annals of Mathematics</i> 172, no. 3 (2010): 2035–2104. <a href="https://doi.org/10.4007/annals.2010.172.2035">https://doi.org/10.4007/annals.2010.172.2035</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the negative Pell equation,” <i>Annals of Mathematics</i>,
    vol. 172, no. 3, pp. 2035–2104, 2010, doi: <a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” <i>Annals
    of Mathematics</i>, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104,
    doi:<a href="https://doi.org/10.4007/annals.2010.172.2035">10.4007/annals.2010.172.2035</a>.
  short: É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.
date_created: 2022-12-23T09:09:02Z
date_updated: 2023-03-06T09:50:37Z
department:
- _id: '102'
doi: 10.4007/annals.2010.172.2035
intvolume: '       172'
issue: '3'
keyword:
- Statistics
- Probability and Uncertainty
- Mathematics (miscellaneous)
language:
- iso: eng
page: 2035-2104
publication: Annals of Mathematics
publication_identifier:
  issn:
  - 0003-486X
publication_status: published
publisher: Annals of Mathematics
status: public
title: On the negative Pell equation
type: journal_article
user_id: '93826'
volume: 172
year: '2010'
...
---
_id: '34888'
abstract:
- lang: eng
  text: We call a positive square-free integer d special, if d is not divisible by
    primes congruent to 3 mod 4. We show that the period of the expansion of in continued
    fractions is asymptotically more often odd than even, when we restrict to special
    integers. We note that this period is always even for a non-special square-free
    integer d. It is well known that the above period is odd if and only if the negative
    Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only
    if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work
    we fully described the asymptotics of the 4-ranks of those class groups. Here
    we get the first non-trivial results about the asymptotic behavior of the 8-rank
    of the narrow class group. For example, we show that more than 76% of the quadratic
    fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow
    class group is zero.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. The parity of the period of the continued fraction of
    d. <i>Proceedings of the London Mathematical Society</i>. 2010;101(2):337-391.
    doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). The parity of the period of the continued
    fraction of d. <i>Proceedings of the London Mathematical Society</i>, <i>101</i>(2),
    337–391. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={The parity of the period of the continued
    fraction of d}, volume={101}, DOI={<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>},
    number={2}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={337–391} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the
    Continued Fraction of d.” <i>Proceedings of the London Mathematical Society</i>
    101, no. 2 (2010): 337–91. <a href="https://doi.org/10.1112/plms/pdp057">https://doi.org/10.1112/plms/pdp057</a>.'
  ieee: 'É. Fouvry and J. Klüners, “The parity of the period of the continued fraction
    of d,” <i>Proceedings of the London Mathematical Society</i>, vol. 101, no. 2,
    pp. 337–391, 2010, doi: <a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued
    Fraction of d.” <i>Proceedings of the London Mathematical Society</i>, vol. 101,
    no. 2, Wiley, 2010, pp. 337–91, doi:<a href="https://doi.org/10.1112/plms/pdp057">10.1112/plms/pdp057</a>.
  short: É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101
    (2010) 337–391.
date_created: 2022-12-23T09:22:49Z
date_updated: 2023-03-06T10:16:54Z
department:
- _id: '102'
doi: 10.1112/plms/pdp057
intvolume: '       101'
issue: '2'
keyword:
- General Mathematics
language:
- iso: eng
page: 337-391
publication: Proceedings of the London Mathematical Society
publication_identifier:
  issn:
  - 0024-6115
publication_status: published
publisher: Wiley
related_material:
  link:
  - relation: confirmation
    url: https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=fc7ab412993fd2bf0069de42fbef1ecc69137755
status: public
title: The parity of the period of the continued fraction of d
type: journal_article
user_id: '93826'
volume: 101
year: '2010'
...
---
_id: '34887'
abstract:
- lang: eng
  text: 'Let d be a nonsquare positive integer. We give the value of the natural probability
    that the narrow ideal class groups of the quadratic fields ℚ(√d) and ℚ(√−d) have
    the same 4-ranks. '
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the Spiegelungssatz for the 4-rank. <i>Algebra &#38;amp;
    Number Theory</i>. 2010;4(5):493-508. doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>
  apa: Fouvry, É., &#38; Klüners, J. (2010). On the Spiegelungssatz for the 4-rank.
    <i>Algebra &#38;amp; Number Theory</i>, <i>4</i>(5), 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>
  bibtex: '@article{Fouvry_Klüners_2010, title={On the Spiegelungssatz for the 4-rank},
    volume={4}, DOI={<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>},
    number={5}, journal={Algebra &#38;amp; Number Theory}, publisher={Mathematical
    Sciences Publishers}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010},
    pages={493–508} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i> 4, no. 5 (2010): 493–508. <a href="https://doi.org/10.2140/ant.2010.4.493">https://doi.org/10.2140/ant.2010.4.493</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the Spiegelungssatz for the 4-rank,” <i>Algebra
    &#38;amp; Number Theory</i>, vol. 4, no. 5, pp. 493–508, 2010, doi: <a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the Spiegelungssatz for the 4-Rank.”
    <i>Algebra &#38;amp; Number Theory</i>, vol. 4, no. 5, Mathematical Sciences Publishers,
    2010, pp. 493–508, doi:<a href="https://doi.org/10.2140/ant.2010.4.493">10.2140/ant.2010.4.493</a>.
  short: É. Fouvry, J. Klüners, Algebra &#38;amp; Number Theory 4 (2010) 493–508.
date_created: 2022-12-23T09:10:12Z
date_updated: 2023-03-06T10:18:14Z
department:
- _id: '102'
doi: 10.2140/ant.2010.4.493
intvolume: '         4'
issue: '5'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 493-508
publication: Algebra &amp; Number Theory
publication_identifier:
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
status: public
title: On the Spiegelungssatz for the 4-rank
type: journal_article
user_id: '93826'
volume: 4
year: '2010'
...
---
_id: '42803'
abstract:
- lang: eng
  text: We provide algorithms to count and enumerate representatives of the (right)
    ideal classes of an Eichler order in a quaternion algebra defined over a number
    field. We analyze the run time of these algorithms and consider several related
    problems, including the computation of two-sided ideal classes, isomorphism classes
    of orders, connecting ideals for orders, and ideal principalization. We conclude
    by giving the complete list of definite Eichler orders with class number at most
    2.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: John
  full_name: Voight, John
  last_name: Voight
citation:
  ama: Kirschmer M, Voight J. Algorithmic Enumeration of Ideal Classes for Quaternion
    Orders. <i>SIAM Journal on Computing</i>. 2010;39(5):1714-1747. doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>
  apa: Kirschmer, M., &#38; Voight, J. (2010). Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders. <i>SIAM Journal on Computing</i>, <i>39</i>(5), 1714–1747.
    <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>
  bibtex: '@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders}, volume={39}, DOI={<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>},
    number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial
    &#38; Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John},
    year={2010}, pages={1714–1747} }'
  chicago: 'Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal
    Classes for Quaternion Orders.” <i>SIAM Journal on Computing</i> 39, no. 5 (2010):
    1714–47. <a href="https://doi.org/10.1137/080734467">https://doi.org/10.1137/080734467</a>.'
  ieee: 'M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for
    Quaternion Orders,” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, pp. 1714–1747,
    2010, doi: <a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.'
  mla: Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes
    for Quaternion Orders.” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, Society
    for Industrial &#38; Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:<a href="https://doi.org/10.1137/080734467">10.1137/080734467</a>.
  short: M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.
date_created: 2023-03-07T08:49:35Z
date_updated: 2023-04-04T09:25:08Z
department:
- _id: '102'
doi: 10.1137/080734467
extern: '1'
intvolume: '        39'
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
page: 1714-1747
publication: SIAM Journal on Computing
publication_identifier:
  issn:
  - 0097-5397
  - 1095-7111
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
type: journal_article
user_id: '93826'
volume: 39
year: '2010'
...
---
_id: '16499'
author:
- first_name: Luca
  full_name: Biasco, Luca
  last_name: Biasco
- first_name: Laura
  full_name: Di Gregorio, Laura
  last_name: Di Gregorio
citation:
  ama: Biasco L, Di Gregorio L. A Birkhoff–Lewis Type Theorem for the Nonlinear Wave
    Equation. <i>Archive for Rational Mechanics and Analysis</i>. 2009:303-362. doi:<a
    href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>
  apa: Biasco, L., &#38; Di Gregorio, L. (2009). A Birkhoff–Lewis Type Theorem for
    the Nonlinear Wave Equation. <i>Archive for Rational Mechanics and Analysis</i>,
    303–362. <a href="https://doi.org/10.1007/s00205-009-0240-y">https://doi.org/10.1007/s00205-009-0240-y</a>
  bibtex: '@article{Biasco_Di Gregorio_2009, title={A Birkhoff–Lewis Type Theorem
    for the Nonlinear Wave Equation}, DOI={<a href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>},
    journal={Archive for Rational Mechanics and Analysis}, author={Biasco, Luca and
    Di Gregorio, Laura}, year={2009}, pages={303–362} }'
  chicago: Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for
    the Nonlinear Wave Equation.” <i>Archive for Rational Mechanics and Analysis</i>,
    2009, 303–62. <a href="https://doi.org/10.1007/s00205-009-0240-y">https://doi.org/10.1007/s00205-009-0240-y</a>.
  ieee: L. Biasco and L. Di Gregorio, “A Birkhoff–Lewis Type Theorem for the Nonlinear
    Wave Equation,” <i>Archive for Rational Mechanics and Analysis</i>, pp. 303–362,
    2009.
  mla: Biasco, Luca, and Laura Di Gregorio. “A Birkhoff–Lewis Type Theorem for the
    Nonlinear Wave Equation.” <i>Archive for Rational Mechanics and Analysis</i>,
    2009, pp. 303–62, doi:<a href="https://doi.org/10.1007/s00205-009-0240-y">10.1007/s00205-009-0240-y</a>.
  short: L. Biasco, L. Di Gregorio, Archive for Rational Mechanics and Analysis (2009)
    303–362.
date_created: 2020-04-14T09:59:20Z
date_updated: 2022-01-06T06:52:51Z
department:
- _id: '101'
doi: 10.1007/s00205-009-0240-y
language:
- iso: eng
page: 303-362
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  issn:
  - 0003-9527
  - 1432-0673
publication_status: published
status: public
title: A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation
type: journal_article
user_id: '47427'
year: '2009'
...
---
_id: '16524'
author:
- first_name: Matthias
  full_name: Blesken, Matthias
  last_name: Blesken
- first_name: Ulrich
  full_name: Ruckert, Ulrich
  last_name: Ruckert
- first_name: Dominik
  full_name: Steenken, Dominik
  last_name: Steenken
- first_name: Katrin
  full_name: Witting, Katrin
  last_name: Witting
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: 'Blesken M, Ruckert U, Steenken D, Witting K, Dellnitz M. Multiobjective optimization
    for transistor sizing of CMOS logic standard cells using set-oriented numerical
    techniques. In: <i>2009 NORCHIP</i>. ; 2009. doi:<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>'
  apa: Blesken, M., Ruckert, U., Steenken, D., Witting, K., &#38; Dellnitz, M. (2009).
    Multiobjective optimization for transistor sizing of CMOS logic standard cells
    using set-oriented numerical techniques. In <i>2009 NORCHIP</i>. <a href="https://doi.org/10.1109/norchp.2009.5397800">https://doi.org/10.1109/norchp.2009.5397800</a>
  bibtex: '@inproceedings{Blesken_Ruckert_Steenken_Witting_Dellnitz_2009, title={Multiobjective
    optimization for transistor sizing of CMOS logic standard cells using set-oriented
    numerical techniques}, DOI={<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>},
    booktitle={2009 NORCHIP}, author={Blesken, Matthias and Ruckert, Ulrich and Steenken,
    Dominik and Witting, Katrin and Dellnitz, Michael}, year={2009} }'
  chicago: Blesken, Matthias, Ulrich Ruckert, Dominik Steenken, Katrin Witting, and
    Michael Dellnitz. “Multiobjective Optimization for Transistor Sizing of CMOS Logic
    Standard Cells Using Set-Oriented Numerical Techniques.” In <i>2009 NORCHIP</i>,
    2009. <a href="https://doi.org/10.1109/norchp.2009.5397800">https://doi.org/10.1109/norchp.2009.5397800</a>.
  ieee: M. Blesken, U. Ruckert, D. Steenken, K. Witting, and M. Dellnitz, “Multiobjective
    optimization for transistor sizing of CMOS logic standard cells using set-oriented
    numerical techniques,” in <i>2009 NORCHIP</i>, 2009.
  mla: Blesken, Matthias, et al. “Multiobjective Optimization for Transistor Sizing
    of CMOS Logic Standard Cells Using Set-Oriented Numerical Techniques.” <i>2009
    NORCHIP</i>, 2009, doi:<a href="https://doi.org/10.1109/norchp.2009.5397800">10.1109/norchp.2009.5397800</a>.
  short: 'M. Blesken, U. Ruckert, D. Steenken, K. Witting, M. Dellnitz, in: 2009 NORCHIP,
    2009.'
date_created: 2020-04-15T08:11:10Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1109/norchp.2009.5397800
language:
- iso: eng
publication: 2009 NORCHIP
publication_identifier:
  isbn:
  - '9781424443109'
  - '9781424443116'
publication_status: published
status: public
title: Multiobjective optimization for transistor sizing of CMOS logic standard cells
  using set-oriented numerical techniques
type: conference
user_id: '15701'
year: '2009'
...
---
_id: '16545'
article_number: '243'
author:
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: K.
  full_name: Witting, K.
  last_name: Witting
citation:
  ama: Dellnitz M, Witting K. Computation of robust Pareto points. <i>International
    Journal of Computing Science and Mathematics</i>. 2009. doi:<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>
  apa: Dellnitz, M., &#38; Witting, K. (2009). Computation of robust Pareto points.
    <i>International Journal of Computing Science and Mathematics</i>. <a href="https://doi.org/10.1504/ijcsm.2009.027876">https://doi.org/10.1504/ijcsm.2009.027876</a>
  bibtex: '@article{Dellnitz_Witting_2009, title={Computation of robust Pareto points},
    DOI={<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>},
    number={243}, journal={International Journal of Computing Science and Mathematics},
    author={Dellnitz, M. and Witting, K.}, year={2009} }'
  chicago: Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” <i>International
    Journal of Computing Science and Mathematics</i>, 2009. <a href="https://doi.org/10.1504/ijcsm.2009.027876">https://doi.org/10.1504/ijcsm.2009.027876</a>.
  ieee: M. Dellnitz and K. Witting, “Computation of robust Pareto points,” <i>International
    Journal of Computing Science and Mathematics</i>, 2009.
  mla: Dellnitz, M., and K. Witting. “Computation of Robust Pareto Points.” <i>International
    Journal of Computing Science and Mathematics</i>, 243, 2009, doi:<a href="https://doi.org/10.1504/ijcsm.2009.027876">10.1504/ijcsm.2009.027876</a>.
  short: M. Dellnitz, K. Witting, International Journal of Computing Science and Mathematics
    (2009).
date_created: 2020-04-15T08:54:35Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1504/ijcsm.2009.027876
language:
- iso: eng
publication: International Journal of Computing Science and Mathematics
publication_identifier:
  issn:
  - 1752-5055
  - 1752-5063
publication_status: published
status: public
title: Computation of robust Pareto points
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16572'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Christian
  full_name: Horenkamp, Christian
  last_name: Horenkamp
- first_name: Kathrin
  full_name: Padberg, Kathrin
  last_name: Padberg
citation:
  ama: Dellnitz M, Froyland G, Horenkamp C, Padberg K. On the Approximation of Transport
    Phenomena - a Dynamical Systems Approach. <i>GAMM-Mitteilungen</i>. 2009:47-60.
    doi:<a href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>
  apa: Dellnitz, M., Froyland, G., Horenkamp, C., &#38; Padberg, K. (2009). On the
    Approximation of Transport Phenomena - a Dynamical Systems Approach. <i>GAMM-Mitteilungen</i>,
    47–60. <a href="https://doi.org/10.1002/gamm.200910004">https://doi.org/10.1002/gamm.200910004</a>
  bibtex: '@article{Dellnitz_Froyland_Horenkamp_Padberg_2009, title={On the Approximation
    of Transport Phenomena - a Dynamical Systems Approach}, DOI={<a href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>},
    journal={GAMM-Mitteilungen}, author={Dellnitz, Michael and Froyland, Gary and
    Horenkamp, Christian and Padberg, Kathrin}, year={2009}, pages={47–60} }'
  chicago: Dellnitz, Michael, Gary Froyland, Christian Horenkamp, and Kathrin Padberg.
    “On the Approximation of Transport Phenomena - a Dynamical Systems Approach.”
    <i>GAMM-Mitteilungen</i>, 2009, 47–60. <a href="https://doi.org/10.1002/gamm.200910004">https://doi.org/10.1002/gamm.200910004</a>.
  ieee: M. Dellnitz, G. Froyland, C. Horenkamp, and K. Padberg, “On the Approximation
    of Transport Phenomena - a Dynamical Systems Approach,” <i>GAMM-Mitteilungen</i>,
    pp. 47–60, 2009.
  mla: Dellnitz, Michael, et al. “On the Approximation of Transport Phenomena - a
    Dynamical Systems Approach.” <i>GAMM-Mitteilungen</i>, 2009, pp. 47–60, doi:<a
    href="https://doi.org/10.1002/gamm.200910004">10.1002/gamm.200910004</a>.
  short: M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg, GAMM-Mitteilungen (2009)
    47–60.
date_created: 2020-04-16T05:01:31Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1002/gamm.200910004
language:
- iso: eng
page: 47-60
publication: GAMM-Mitteilungen
publication_identifier:
  issn:
  - 0936-7195
  - 1522-2608
publication_status: published
status: public
title: On the Approximation of Transport Phenomena - a Dynamical Systems Approach
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16573'
author:
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: G.
  full_name: Froyland, G.
  last_name: Froyland
- first_name: C.
  full_name: Horenkamp, C.
  last_name: Horenkamp
- first_name: K.
  full_name: Padberg-Gehle, K.
  last_name: Padberg-Gehle
- first_name: A.
  full_name: Sen Gupta, A.
  last_name: Sen Gupta
citation:
  ama: 'Dellnitz M, Froyland G, Horenkamp C, Padberg-Gehle K, Sen Gupta A. Seasonal
    variability of the subpolar gyres in the Southern Ocean: a numerical investigation
    based on transfer operators. <i>Nonlinear Processes in Geophysics</i>. 2009:655-663.
    doi:<a href="https://doi.org/10.5194/npg-16-655-2009">10.5194/npg-16-655-2009</a>'
  apa: 'Dellnitz, M., Froyland, G., Horenkamp, C., Padberg-Gehle, K., &#38; Sen Gupta,
    A. (2009). Seasonal variability of the subpolar gyres in the Southern Ocean: a
    numerical investigation based on transfer operators. <i>Nonlinear Processes in
    Geophysics</i>, 655–663. <a href="https://doi.org/10.5194/npg-16-655-2009">https://doi.org/10.5194/npg-16-655-2009</a>'
  bibtex: '@article{Dellnitz_Froyland_Horenkamp_Padberg-Gehle_Sen Gupta_2009, title={Seasonal
    variability of the subpolar gyres in the Southern Ocean: a numerical investigation
    based on transfer operators}, DOI={<a href="https://doi.org/10.5194/npg-16-655-2009">10.5194/npg-16-655-2009</a>},
    journal={Nonlinear Processes in Geophysics}, author={Dellnitz, M. and Froyland,
    G. and Horenkamp, C. and Padberg-Gehle, K. and Sen Gupta, A.}, year={2009}, pages={655–663}
    }'
  chicago: 'Dellnitz, M., G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen
    Gupta. “Seasonal Variability of the Subpolar Gyres in the Southern Ocean: A Numerical
    Investigation Based on Transfer Operators.” <i>Nonlinear Processes in Geophysics</i>,
    2009, 655–63. <a href="https://doi.org/10.5194/npg-16-655-2009">https://doi.org/10.5194/npg-16-655-2009</a>.'
  ieee: 'M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, and A. Sen Gupta,
    “Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical
    investigation based on transfer operators,” <i>Nonlinear Processes in Geophysics</i>,
    pp. 655–663, 2009.'
  mla: 'Dellnitz, M., et al. “Seasonal Variability of the Subpolar Gyres in the Southern
    Ocean: A Numerical Investigation Based on Transfer Operators.” <i>Nonlinear Processes
    in Geophysics</i>, 2009, pp. 655–63, doi:<a href="https://doi.org/10.5194/npg-16-655-2009">10.5194/npg-16-655-2009</a>.'
  short: M. Dellnitz, G. Froyland, C. Horenkamp, K. Padberg-Gehle, A. Sen Gupta, Nonlinear
    Processes in Geophysics (2009) 655–663.
date_created: 2020-04-16T05:03:56Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.5194/npg-16-655-2009
language:
- iso: eng
page: 655-663
publication: Nonlinear Processes in Geophysics
publication_identifier:
  issn:
  - 1607-7946
publication_status: published
status: public
title: 'Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical
  investigation based on transfer operators'
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16574'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Marcus
  full_name: Post, Marcus
  last_name: Post
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Bianca
  full_name: Thiere, Bianca
  last_name: Thiere
citation:
  ama: Dellnitz M, Ober-Blöbaum S, Post M, Schütze O, Thiere B. A multi-objective
    approach to the design of low thrust space trajectories using optimal control.
    <i>Celestial Mechanics and Dynamical Astronomy</i>. 2009:33-59. doi:<a href="https://doi.org/10.1007/s10569-009-9229-y">10.1007/s10569-009-9229-y</a>
  apa: Dellnitz, M., Ober-Blöbaum, S., Post, M., Schütze, O., &#38; Thiere, B. (2009).
    A multi-objective approach to the design of low thrust space trajectories using
    optimal control. <i>Celestial Mechanics and Dynamical Astronomy</i>, 33–59. <a
    href="https://doi.org/10.1007/s10569-009-9229-y">https://doi.org/10.1007/s10569-009-9229-y</a>
  bibtex: '@article{Dellnitz_Ober-Blöbaum_Post_Schütze_Thiere_2009, title={A multi-objective
    approach to the design of low thrust space trajectories using optimal control},
    DOI={<a href="https://doi.org/10.1007/s10569-009-9229-y">10.1007/s10569-009-9229-y</a>},
    journal={Celestial Mechanics and Dynamical Astronomy}, author={Dellnitz, Michael
    and Ober-Blöbaum, Sina and Post, Marcus and Schütze, Oliver and Thiere, Bianca},
    year={2009}, pages={33–59} }'
  chicago: Dellnitz, Michael, Sina Ober-Blöbaum, Marcus Post, Oliver Schütze, and
    Bianca Thiere. “A Multi-Objective Approach to the Design of Low Thrust Space Trajectories
    Using Optimal Control.” <i>Celestial Mechanics and Dynamical Astronomy</i>, 2009,
    33–59. <a href="https://doi.org/10.1007/s10569-009-9229-y">https://doi.org/10.1007/s10569-009-9229-y</a>.
  ieee: M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, and B. Thiere, “A multi-objective
    approach to the design of low thrust space trajectories using optimal control,”
    <i>Celestial Mechanics and Dynamical Astronomy</i>, pp. 33–59, 2009.
  mla: Dellnitz, Michael, et al. “A Multi-Objective Approach to the Design of Low
    Thrust Space Trajectories Using Optimal Control.” <i>Celestial Mechanics and Dynamical
    Astronomy</i>, 2009, pp. 33–59, doi:<a href="https://doi.org/10.1007/s10569-009-9229-y">10.1007/s10569-009-9229-y</a>.
  short: M. Dellnitz, S. Ober-Blöbaum, M. Post, O. Schütze, B. Thiere, Celestial Mechanics
    and Dynamical Astronomy (2009) 33–59.
date_created: 2020-04-16T05:05:17Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/s10569-009-9229-y
language:
- iso: eng
page: 33-59
publication: Celestial Mechanics and Dynamical Astronomy
publication_identifier:
  issn:
  - 0923-2958
  - 1572-9478
publication_status: published
status: public
title: A multi-objective approach to the design of low thrust space trajectories using
  optimal control
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16636'
author:
- first_name: A.
  full_name: Meyer, A.
  last_name: Meyer
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
citation:
  ama: Meyer A, Dellnitz M. Symmetries in Timed Continuous Petri Nets. <i>IFAC Proceedings
    Volumes</i>. 2009:68-73. doi:<a href="https://doi.org/10.3182/20090916-3-es-3003.00013">10.3182/20090916-3-es-3003.00013</a>
  apa: Meyer, A., &#38; Dellnitz, M. (2009). Symmetries in Timed Continuous Petri
    Nets. <i>IFAC Proceedings Volumes</i>, 68–73. <a href="https://doi.org/10.3182/20090916-3-es-3003.00013">https://doi.org/10.3182/20090916-3-es-3003.00013</a>
  bibtex: '@article{Meyer_Dellnitz_2009, title={Symmetries in Timed Continuous Petri
    Nets}, DOI={<a href="https://doi.org/10.3182/20090916-3-es-3003.00013">10.3182/20090916-3-es-3003.00013</a>},
    journal={IFAC Proceedings Volumes}, author={Meyer, A. and Dellnitz, M.}, year={2009},
    pages={68–73} }'
  chicago: Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.”
    <i>IFAC Proceedings Volumes</i>, 2009, 68–73. <a href="https://doi.org/10.3182/20090916-3-es-3003.00013">https://doi.org/10.3182/20090916-3-es-3003.00013</a>.
  ieee: A. Meyer and M. Dellnitz, “Symmetries in Timed Continuous Petri Nets,” <i>IFAC
    Proceedings Volumes</i>, pp. 68–73, 2009.
  mla: Meyer, A., and M. Dellnitz. “Symmetries in Timed Continuous Petri Nets.” <i>IFAC
    Proceedings Volumes</i>, 2009, pp. 68–73, doi:<a href="https://doi.org/10.3182/20090916-3-es-3003.00013">10.3182/20090916-3-es-3003.00013</a>.
  short: A. Meyer, M. Dellnitz, IFAC Proceedings Volumes (2009) 68–73.
date_created: 2020-04-16T08:34:44Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.3182/20090916-3-es-3003.00013
language:
- iso: eng
page: 68-73
publication: IFAC Proceedings Volumes
publication_identifier:
  issn:
  - 1474-6670
publication_status: published
status: public
title: Symmetries in Timed Continuous Petri Nets
type: journal_article
user_id: '15701'
year: '2009'
...
---
_id: '16649'
author:
- first_name: Kathrin
  full_name: Padberg, Kathrin
  last_name: Padberg
- first_name: Bianca
  full_name: Thiere, Bianca
  last_name: Thiere
- first_name: Robert
  full_name: Preis, Robert
  last_name: Preis
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Padberg K, Thiere B, Preis R, Dellnitz M. Local expansion concepts for detecting
    transport barriers in dynamical systems. <i>Communications in Nonlinear Science
    and Numerical Simulation</i>. 2009:4176-4190. doi:<a href="https://doi.org/10.1016/j.cnsns.2009.03.018">10.1016/j.cnsns.2009.03.018</a>
  apa: Padberg, K., Thiere, B., Preis, R., &#38; Dellnitz, M. (2009). Local expansion
    concepts for detecting transport barriers in dynamical systems. <i>Communications
    in Nonlinear Science and Numerical Simulation</i>, 4176–4190. <a href="https://doi.org/10.1016/j.cnsns.2009.03.018">https://doi.org/10.1016/j.cnsns.2009.03.018</a>
  bibtex: '@article{Padberg_Thiere_Preis_Dellnitz_2009, title={Local expansion concepts
    for detecting transport barriers in dynamical systems}, DOI={<a href="https://doi.org/10.1016/j.cnsns.2009.03.018">10.1016/j.cnsns.2009.03.018</a>},
    journal={Communications in Nonlinear Science and Numerical Simulation}, author={Padberg,
    Kathrin and Thiere, Bianca and Preis, Robert and Dellnitz, Michael}, year={2009},
    pages={4176–4190} }'
  chicago: Padberg, Kathrin, Bianca Thiere, Robert Preis, and Michael Dellnitz. “Local
    Expansion Concepts for Detecting Transport Barriers in Dynamical Systems.” <i>Communications
    in Nonlinear Science and Numerical Simulation</i>, 2009, 4176–90. <a href="https://doi.org/10.1016/j.cnsns.2009.03.018">https://doi.org/10.1016/j.cnsns.2009.03.018</a>.
  ieee: K. Padberg, B. Thiere, R. Preis, and M. Dellnitz, “Local expansion concepts
    for detecting transport barriers in dynamical systems,” <i>Communications in Nonlinear
    Science and Numerical Simulation</i>, pp. 4176–4190, 2009.
  mla: Padberg, Kathrin, et al. “Local Expansion Concepts for Detecting Transport
    Barriers in Dynamical Systems.” <i>Communications in Nonlinear Science and Numerical
    Simulation</i>, 2009, pp. 4176–90, doi:<a href="https://doi.org/10.1016/j.cnsns.2009.03.018">10.1016/j.cnsns.2009.03.018</a>.
  short: K. Padberg, B. Thiere, R. Preis, M. Dellnitz, Communications in Nonlinear
    Science and Numerical Simulation (2009) 4176–4190.
date_created: 2020-04-16T09:11:26Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1016/j.cnsns.2009.03.018
language:
- iso: eng
page: 4176-4190
publication: Communications in Nonlinear Science and Numerical Simulation
publication_identifier:
  issn:
  - 1007-5704
publication_status: published
status: public
title: Local expansion concepts for detecting transport barriers in dynamical systems
type: journal_article
user_id: '15701'
year: '2009'
...