---
_id: '16611'
author:
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
- first_name: Jerrold
  full_name: Marsden, Jerrold
  last_name: Marsden
- first_name: Ian
  full_name: Stewart, Ian
  last_name: Stewart
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: 'Golubitsky M, Marsden J, Stewart I, Dellnitz M. The constrained Liapunov-Schmidt
    procedure and periodic orbits. In: <i>Normal Forms and Homoclinic Chaos</i>. Providence,
    Rhode Island; 1995. doi:<a href="https://doi.org/10.1090/fic/004/05">10.1090/fic/004/05</a>'
  apa: Golubitsky, M., Marsden, J., Stewart, I., &#38; Dellnitz, M. (1995). The constrained
    Liapunov-Schmidt procedure and periodic orbits. In <i>Normal Forms and Homoclinic
    Chaos</i>. Providence, Rhode Island. <a href="https://doi.org/10.1090/fic/004/05">https://doi.org/10.1090/fic/004/05</a>
  bibtex: '@inbook{Golubitsky_Marsden_Stewart_Dellnitz_1995, place={Providence, Rhode
    Island}, title={The constrained Liapunov-Schmidt procedure and periodic orbits},
    DOI={<a href="https://doi.org/10.1090/fic/004/05">10.1090/fic/004/05</a>}, booktitle={Normal
    Forms and Homoclinic Chaos}, author={Golubitsky, Martin and Marsden, Jerrold and
    Stewart, Ian and Dellnitz, Michael}, year={1995} }'
  chicago: Golubitsky, Martin, Jerrold Marsden, Ian Stewart, and Michael Dellnitz.
    “The Constrained Liapunov-Schmidt Procedure and Periodic Orbits.” In <i>Normal
    Forms and Homoclinic Chaos</i>. Providence, Rhode Island, 1995. <a href="https://doi.org/10.1090/fic/004/05">https://doi.org/10.1090/fic/004/05</a>.
  ieee: M. Golubitsky, J. Marsden, I. Stewart, and M. Dellnitz, “The constrained Liapunov-Schmidt
    procedure and periodic orbits,” in <i>Normal Forms and Homoclinic Chaos</i>, Providence,
    Rhode Island, 1995.
  mla: Golubitsky, Martin, et al. “The Constrained Liapunov-Schmidt Procedure and
    Periodic Orbits.” <i>Normal Forms and Homoclinic Chaos</i>, 1995, doi:<a href="https://doi.org/10.1090/fic/004/05">10.1090/fic/004/05</a>.
  short: 'M. Golubitsky, J. Marsden, I. Stewart, M. Dellnitz, in: Normal Forms and
    Homoclinic Chaos, Providence, Rhode Island, 1995.'
date_created: 2020-04-16T08:02:13Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1090/fic/004/05
language:
- iso: eng
place: Providence, Rhode Island
publication: Normal Forms and Homoclinic Chaos
publication_identifier:
  isbn:
  - '9780821803264'
  - '9781470429720'
publication_status: published
status: public
title: The constrained Liapunov-Schmidt procedure and periodic orbits
type: book_chapter
user_id: '15701'
year: '1995'
...
---
_id: '16541'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Ian
  full_name: Melbourne, Ian
  last_name: Melbourne
citation:
  ama: Dellnitz M, Melbourne I. Generic movement of eigenvalues for equivariant self-adjoint
    matrices. <i>Journal of Computational and Applied Mathematics</i>. 1994:249-259.
    doi:<a href="https://doi.org/10.1016/0377-0427(94)90032-9">10.1016/0377-0427(94)90032-9</a>
  apa: Dellnitz, M., &#38; Melbourne, I. (1994). Generic movement of eigenvalues for
    equivariant self-adjoint matrices. <i>Journal of Computational and Applied Mathematics</i>,
    249–259. <a href="https://doi.org/10.1016/0377-0427(94)90032-9">https://doi.org/10.1016/0377-0427(94)90032-9</a>
  bibtex: '@article{Dellnitz_Melbourne_1994, title={Generic movement of eigenvalues
    for equivariant self-adjoint matrices}, DOI={<a href="https://doi.org/10.1016/0377-0427(94)90032-9">10.1016/0377-0427(94)90032-9</a>},
    journal={Journal of Computational and Applied Mathematics}, author={Dellnitz,
    Michael and Melbourne, Ian}, year={1994}, pages={249–259} }'
  chicago: Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues
    for Equivariant Self-Adjoint Matrices.” <i>Journal of Computational and Applied
    Mathematics</i>, 1994, 249–59. <a href="https://doi.org/10.1016/0377-0427(94)90032-9">https://doi.org/10.1016/0377-0427(94)90032-9</a>.
  ieee: M. Dellnitz and I. Melbourne, “Generic movement of eigenvalues for equivariant
    self-adjoint matrices,” <i>Journal of Computational and Applied Mathematics</i>,
    pp. 249–259, 1994.
  mla: Dellnitz, Michael, and Ian Melbourne. “Generic Movement of Eigenvalues for
    Equivariant Self-Adjoint Matrices.” <i>Journal of Computational and Applied Mathematics</i>,
    1994, pp. 249–59, doi:<a href="https://doi.org/10.1016/0377-0427(94)90032-9">10.1016/0377-0427(94)90032-9</a>.
  short: M. Dellnitz, I. Melbourne, Journal of Computational and Applied Mathematics
    (1994) 249–259.
date_created: 2020-04-15T08:44:12Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/0377-0427(94)90032-9
language:
- iso: eng
page: 249-259
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
status: public
title: Generic movement of eigenvalues for equivariant self-adjoint matrices
type: journal_article
user_id: '15701'
year: '1994'
...
---
_id: '16544'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Jürgen
  full_name: Scheurle, Jürgen
  last_name: Scheurle
citation:
  ama: 'Dellnitz M, Scheurle J. Eigenvalue Movement for a Class of Reversible Hamiltonian
    Systems with Three Degrees of Freedom. In: <i>Dynamics, Bifurcation and Symmetry</i>.
    Dordrecht; 1994. doi:<a href="https://doi.org/10.1007/978-94-011-0956-7_9">10.1007/978-94-011-0956-7_9</a>'
  apa: Dellnitz, M., &#38; Scheurle, J. (1994). Eigenvalue Movement for a Class of
    Reversible Hamiltonian Systems with Three Degrees of Freedom. In <i>Dynamics,
    Bifurcation and Symmetry</i>. Dordrecht. <a href="https://doi.org/10.1007/978-94-011-0956-7_9">https://doi.org/10.1007/978-94-011-0956-7_9</a>
  bibtex: '@inbook{Dellnitz_Scheurle_1994, place={Dordrecht}, title={Eigenvalue Movement
    for a Class of Reversible Hamiltonian Systems with Three Degrees of Freedom},
    DOI={<a href="https://doi.org/10.1007/978-94-011-0956-7_9">10.1007/978-94-011-0956-7_9</a>},
    booktitle={Dynamics, Bifurcation and Symmetry}, author={Dellnitz, Michael and
    Scheurle, Jürgen}, year={1994} }'
  chicago: Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class
    of Reversible Hamiltonian Systems with Three Degrees of Freedom.” In <i>Dynamics,
    Bifurcation and Symmetry</i>. Dordrecht, 1994. <a href="https://doi.org/10.1007/978-94-011-0956-7_9">https://doi.org/10.1007/978-94-011-0956-7_9</a>.
  ieee: M. Dellnitz and J. Scheurle, “Eigenvalue Movement for a Class of Reversible
    Hamiltonian Systems with Three Degrees of Freedom,” in <i>Dynamics, Bifurcation
    and Symmetry</i>, Dordrecht, 1994.
  mla: Dellnitz, Michael, and Jürgen Scheurle. “Eigenvalue Movement for a Class of
    Reversible Hamiltonian Systems with Three Degrees of Freedom.” <i>Dynamics, Bifurcation
    and Symmetry</i>, 1994, doi:<a href="https://doi.org/10.1007/978-94-011-0956-7_9">10.1007/978-94-011-0956-7_9</a>.
  short: 'M. Dellnitz, J. Scheurle, in: Dynamics, Bifurcation and Symmetry, Dordrecht,
    1994.'
date_created: 2020-04-15T08:53:18Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-94-011-0956-7_9
language:
- iso: eng
place: Dordrecht
publication: Dynamics, Bifurcation and Symmetry
publication_identifier:
  isbn:
  - '9789401044134'
  - '9789401109567'
publication_status: published
status: public
title: Eigenvalue Movement for a Class of Reversible Hamiltonian Systems with Three
  Degrees of Freedom
type: book_chapter
user_id: '15701'
year: '1994'
...
---
_id: '16549'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
- first_name: Matthew
  full_name: Nicol, Matthew
  last_name: Nicol
citation:
  ama: 'Dellnitz M, Golubitsky M, Nicol M. Symmetry of Attractors and the Karhunen-Loève
    Decomposition. In: <i>Trends and Perspectives in Applied Mathematics</i>. New
    York, NY; 1994. doi:<a href="https://doi.org/10.1007/978-1-4612-0859-4_4">10.1007/978-1-4612-0859-4_4</a>'
  apa: Dellnitz, M., Golubitsky, M., &#38; Nicol, M. (1994). Symmetry of Attractors
    and the Karhunen-Loève Decomposition. In <i>Trends and Perspectives in Applied
    Mathematics</i>. New York, NY. <a href="https://doi.org/10.1007/978-1-4612-0859-4_4">https://doi.org/10.1007/978-1-4612-0859-4_4</a>
  bibtex: '@inbook{Dellnitz_Golubitsky_Nicol_1994, place={New York, NY}, title={Symmetry
    of Attractors and the Karhunen-Loève Decomposition}, DOI={<a href="https://doi.org/10.1007/978-1-4612-0859-4_4">10.1007/978-1-4612-0859-4_4</a>},
    booktitle={Trends and Perspectives in Applied Mathematics}, author={Dellnitz,
    Michael and Golubitsky, Martin and Nicol, Matthew}, year={1994} }'
  chicago: Dellnitz, Michael, Martin Golubitsky, and Matthew Nicol. “Symmetry of Attractors
    and the Karhunen-Loève Decomposition.” In <i>Trends and Perspectives in Applied
    Mathematics</i>. New York, NY, 1994. <a href="https://doi.org/10.1007/978-1-4612-0859-4_4">https://doi.org/10.1007/978-1-4612-0859-4_4</a>.
  ieee: M. Dellnitz, M. Golubitsky, and M. Nicol, “Symmetry of Attractors and the
    Karhunen-Loève Decomposition,” in <i>Trends and Perspectives in Applied Mathematics</i>,
    New York, NY, 1994.
  mla: Dellnitz, Michael, et al. “Symmetry of Attractors and the Karhunen-Loève Decomposition.”
    <i>Trends and Perspectives in Applied Mathematics</i>, 1994, doi:<a href="https://doi.org/10.1007/978-1-4612-0859-4_4">10.1007/978-1-4612-0859-4_4</a>.
  short: 'M. Dellnitz, M. Golubitsky, M. Nicol, in: Trends and Perspectives in Applied
    Mathematics, New York, NY, 1994.'
date_created: 2020-04-15T09:02:32Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-1-4612-0859-4_4
language:
- iso: eng
place: New York, NY
publication: Trends and Perspectives in Applied Mathematics
publication_identifier:
  isbn:
  - '9781461269243'
  - '9781461208594'
  issn:
  - 0066-5452
publication_status: published
status: public
title: Symmetry of Attractors and the Karhunen-Loève Decomposition
type: book_chapter
user_id: '15701'
year: '1994'
...
---
_id: '17014'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: 'Dellnitz M. Collisions of chaotic attractors. <i>Schlaglichter der Forschung:
    Zum 75 Jahrestag der Universität Hamburg</i>. 1994:411-428.'
  apa: 'Dellnitz, M. (1994). Collisions of chaotic attractors. <i>Schlaglichter Der
    Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 411–428.'
  bibtex: '@article{Dellnitz_1994, title={Collisions of chaotic attractors}, journal={Schlaglichter
    der Forschung: Zum 75. Jahrestag der Universität Hamburg}, author={Dellnitz, Michael},
    year={1994}, pages={411–428} }'
  chicago: 'Dellnitz, Michael. “Collisions of Chaotic Attractors.” <i>Schlaglichter
    Der Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 1994, 411–28.'
  ieee: 'M. Dellnitz, “Collisions of chaotic attractors,” <i>Schlaglichter der Forschung:
    Zum 75. Jahrestag der Universität Hamburg</i>, pp. 411–428, 1994.'
  mla: 'Dellnitz, Michael. “Collisions of Chaotic Attractors.” <i>Schlaglichter Der
    Forschung: Zum 75. Jahrestag Der Universität Hamburg</i>, 1994, pp. 411–28.'
  short: 'M. Dellnitz, Schlaglichter Der Forschung: Zum 75. Jahrestag Der Universität
    Hamburg (1994) 411–428.'
date_created: 2020-05-19T09:06:20Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
language:
- iso: eng
page: 411-428
publication: 'Schlaglichter der Forschung: Zum 75. Jahrestag der Universität Hamburg'
status: public
title: Collisions of chaotic attractors
type: journal_article
user_id: '32643'
year: '1994'
...
---
_id: '16518'
author:
- first_name: Ernest
  full_name: Barany, Ernest
  last_name: Barany
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
citation:
  ama: 'Barany E, Dellnitz M, Golubitsky M. Detecting the symmetry of attractors.
    <i>Physica D: Nonlinear Phenomena</i>. 1993:66-87. doi:<a href="https://doi.org/10.1016/0167-2789(93)90198-a">10.1016/0167-2789(93)90198-a</a>'
  apa: 'Barany, E., Dellnitz, M., &#38; Golubitsky, M. (1993). Detecting the symmetry
    of attractors. <i>Physica D: Nonlinear Phenomena</i>, 66–87. <a href="https://doi.org/10.1016/0167-2789(93)90198-a">https://doi.org/10.1016/0167-2789(93)90198-a</a>'
  bibtex: '@article{Barany_Dellnitz_Golubitsky_1993, title={Detecting the symmetry
    of attractors}, DOI={<a href="https://doi.org/10.1016/0167-2789(93)90198-a">10.1016/0167-2789(93)90198-a</a>},
    journal={Physica D: Nonlinear Phenomena}, author={Barany, Ernest and Dellnitz,
    Michael and Golubitsky, Martin}, year={1993}, pages={66–87} }'
  chicago: 'Barany, Ernest, Michael Dellnitz, and Martin Golubitsky. “Detecting the
    Symmetry of Attractors.” <i>Physica D: Nonlinear Phenomena</i>, 1993, 66–87. <a
    href="https://doi.org/10.1016/0167-2789(93)90198-a">https://doi.org/10.1016/0167-2789(93)90198-a</a>.'
  ieee: 'E. Barany, M. Dellnitz, and M. Golubitsky, “Detecting the symmetry of attractors,”
    <i>Physica D: Nonlinear Phenomena</i>, pp. 66–87, 1993.'
  mla: 'Barany, Ernest, et al. “Detecting the Symmetry of Attractors.” <i>Physica
    D: Nonlinear Phenomena</i>, 1993, pp. 66–87, doi:<a href="https://doi.org/10.1016/0167-2789(93)90198-a">10.1016/0167-2789(93)90198-a</a>.'
  short: 'E. Barany, M. Dellnitz, M. Golubitsky, Physica D: Nonlinear Phenomena (1993)
    66–87.'
date_created: 2020-04-15T08:02:09Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/0167-2789(93)90198-a
language:
- iso: eng
page: 66-87
publication: 'Physica D: Nonlinear Phenomena'
publication_identifier:
  issn:
  - 0167-2789
publication_status: published
status: public
title: Detecting the symmetry of attractors
type: journal_article
user_id: '15701'
year: '1993'
...
---
_id: '16633'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>We obtain normal forms for infinitesimally
    symplectic matrices (or linear Hamiltonian vector fields) that commute with the
    symplectic action of a compact Lie group of symmetries. In doing so we extend
    Williamson's theorem on normal forms when there is no symmetry present.</jats:p><jats:p>Using
    standard representation-theoretic results the symmetry can be factored out and
    we reduce to finding normal forms over a real division ring. There are three real
    division rings consisting of the real, complex and quaternionic numbers. Of these,
    only the real case is covered in Williamson's original work.</jats:p>
author:
- first_name: Ian
  full_name: Melbourne, Ian
  last_name: Melbourne
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Melbourne I, Dellnitz M. Normal forms for linear Hamiltonian vector fields
    commuting with the action of a compact Lie group. <i>Mathematical Proceedings
    of the Cambridge Philosophical Society</i>. 1993:235-268. doi:<a href="https://doi.org/10.1017/s0305004100071577">10.1017/s0305004100071577</a>
  apa: Melbourne, I., &#38; Dellnitz, M. (1993). Normal forms for linear Hamiltonian
    vector fields commuting with the action of a compact Lie group. <i>Mathematical
    Proceedings of the Cambridge Philosophical Society</i>, 235–268. <a href="https://doi.org/10.1017/s0305004100071577">https://doi.org/10.1017/s0305004100071577</a>
  bibtex: '@article{Melbourne_Dellnitz_1993, title={Normal forms for linear Hamiltonian
    vector fields commuting with the action of a compact Lie group}, DOI={<a href="https://doi.org/10.1017/s0305004100071577">10.1017/s0305004100071577</a>},
    journal={Mathematical Proceedings of the Cambridge Philosophical Society}, author={Melbourne,
    Ian and Dellnitz, Michael}, year={1993}, pages={235–268} }'
  chicago: Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian
    Vector Fields Commuting with the Action of a Compact Lie Group.” <i>Mathematical
    Proceedings of the Cambridge Philosophical Society</i>, 1993, 235–68. <a href="https://doi.org/10.1017/s0305004100071577">https://doi.org/10.1017/s0305004100071577</a>.
  ieee: I. Melbourne and M. Dellnitz, “Normal forms for linear Hamiltonian vector
    fields commuting with the action of a compact Lie group,” <i>Mathematical Proceedings
    of the Cambridge Philosophical Society</i>, pp. 235–268, 1993.
  mla: Melbourne, Ian, and Michael Dellnitz. “Normal Forms for Linear Hamiltonian
    Vector Fields Commuting with the Action of a Compact Lie Group.” <i>Mathematical
    Proceedings of the Cambridge Philosophical Society</i>, 1993, pp. 235–68, doi:<a
    href="https://doi.org/10.1017/s0305004100071577">10.1017/s0305004100071577</a>.
  short: I. Melbourne, M. Dellnitz, Mathematical Proceedings of the Cambridge Philosophical
    Society (1993) 235–268.
date_created: 2020-04-16T08:31:40Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1017/s0305004100071577
language:
- iso: eng
page: 235-268
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_identifier:
  issn:
  - 0305-0041
  - 1469-8064
publication_status: published
status: public
title: Normal forms for linear Hamiltonian vector fields commuting with the action
  of a compact Lie group
type: journal_article
user_id: '15701'
year: '1993'
...
---
_id: '16634'
author:
- first_name: Ian
  full_name: Melbourne, Ian
  last_name: Melbourne
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
citation:
  ama: Melbourne I, Dellnitz M, Golubitsky M. The structure of symmetric attractors.
    <i>Archive for Rational Mechanics and Analysis</i>. 1993:75-98. doi:<a href="https://doi.org/10.1007/bf00386369">10.1007/bf00386369</a>
  apa: Melbourne, I., Dellnitz, M., &#38; Golubitsky, M. (1993). The structure of
    symmetric attractors. <i>Archive for Rational Mechanics and Analysis</i>, 75–98.
    <a href="https://doi.org/10.1007/bf00386369">https://doi.org/10.1007/bf00386369</a>
  bibtex: '@article{Melbourne_Dellnitz_Golubitsky_1993, title={The structure of symmetric
    attractors}, DOI={<a href="https://doi.org/10.1007/bf00386369">10.1007/bf00386369</a>},
    journal={Archive for Rational Mechanics and Analysis}, author={Melbourne, Ian
    and Dellnitz, Michael and Golubitsky, Martin}, year={1993}, pages={75–98} }'
  chicago: Melbourne, Ian, Michael Dellnitz, and Martin Golubitsky. “The Structure
    of Symmetric Attractors.” <i>Archive for Rational Mechanics and Analysis</i>,
    1993, 75–98. <a href="https://doi.org/10.1007/bf00386369">https://doi.org/10.1007/bf00386369</a>.
  ieee: I. Melbourne, M. Dellnitz, and M. Golubitsky, “The structure of symmetric
    attractors,” <i>Archive for Rational Mechanics and Analysis</i>, pp. 75–98, 1993.
  mla: Melbourne, Ian, et al. “The Structure of Symmetric Attractors.” <i>Archive
    for Rational Mechanics and Analysis</i>, 1993, pp. 75–98, doi:<a href="https://doi.org/10.1007/bf00386369">10.1007/bf00386369</a>.
  short: I. Melbourne, M. Dellnitz, M. Golubitsky, Archive for Rational Mechanics
    and Analysis (1993) 75–98.
date_created: 2020-04-16T08:32:44Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1007/bf00386369
language:
- iso: eng
page: 75-98
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  issn:
  - 0003-9527
  - 1432-0673
publication_status: published
status: public
title: The structure of symmetric attractors
type: journal_article
user_id: '15701'
year: '1993'
...
---
_id: '17013'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Dellnitz M. The equivariant Darboux theorem. <i>Lectures in Applied Mathematics</i>.
    1993;29:163-169.
  apa: Dellnitz, M. (1993). The equivariant Darboux theorem. <i>Lectures in Applied
    Mathematics</i>, <i>29</i>, 163–169.
  bibtex: '@article{Dellnitz_1993, title={The equivariant Darboux theorem}, volume={29},
    journal={Lectures in Applied Mathematics}, author={Dellnitz, Michael}, year={1993},
    pages={163–169} }'
  chicago: 'Dellnitz, Michael. “The Equivariant Darboux Theorem.” <i>Lectures in Applied
    Mathematics</i> 29 (1993): 163–69.'
  ieee: M. Dellnitz, “The equivariant Darboux theorem,” <i>Lectures in Applied Mathematics</i>,
    vol. 29, pp. 163–169, 1993.
  mla: Dellnitz, Michael. “The Equivariant Darboux Theorem.” <i>Lectures in Applied
    Mathematics</i>, vol. 29, 1993, pp. 163–69.
  short: M. Dellnitz, Lectures in Applied Mathematics 29 (1993) 163–169.
date_created: 2020-05-19T09:04:09Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
intvolume: '        29'
language:
- iso: eng
page: 163-169
publication: Lectures in Applied Mathematics
status: public
title: The equivariant Darboux theorem
type: journal_article
user_id: '32643'
volume: 29
year: '1993'
...
---
_id: '16546'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
- first_name: Ian
  full_name: Melbourne, Ian
  last_name: Melbourne
citation:
  ama: 'Dellnitz M, Golubitsky M, Melbourne I. Mechanisms of Symmetry Creation. In:
    <i>Bifurcation and Symmetry</i>. Basel; 1992. doi:<a href="https://doi.org/10.1007/978-3-0348-7536-3_9">10.1007/978-3-0348-7536-3_9</a>'
  apa: Dellnitz, M., Golubitsky, M., &#38; Melbourne, I. (1992). Mechanisms of Symmetry
    Creation. In <i>Bifurcation and Symmetry</i>. Basel. <a href="https://doi.org/10.1007/978-3-0348-7536-3_9">https://doi.org/10.1007/978-3-0348-7536-3_9</a>
  bibtex: '@inbook{Dellnitz_Golubitsky_Melbourne_1992, place={Basel}, title={Mechanisms
    of Symmetry Creation}, DOI={<a href="https://doi.org/10.1007/978-3-0348-7536-3_9">10.1007/978-3-0348-7536-3_9</a>},
    booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Golubitsky,
    Martin and Melbourne, Ian}, year={1992} }'
  chicago: Dellnitz, Michael, Martin Golubitsky, and Ian Melbourne. “Mechanisms of
    Symmetry Creation.” In <i>Bifurcation and Symmetry</i>. Basel, 1992. <a href="https://doi.org/10.1007/978-3-0348-7536-3_9">https://doi.org/10.1007/978-3-0348-7536-3_9</a>.
  ieee: M. Dellnitz, M. Golubitsky, and I. Melbourne, “Mechanisms of Symmetry Creation,”
    in <i>Bifurcation and Symmetry</i>, Basel, 1992.
  mla: Dellnitz, Michael, et al. “Mechanisms of Symmetry Creation.” <i>Bifurcation
    and Symmetry</i>, 1992, doi:<a href="https://doi.org/10.1007/978-3-0348-7536-3_9">10.1007/978-3-0348-7536-3_9</a>.
  short: 'M. Dellnitz, M. Golubitsky, I. Melbourne, in: Bifurcation and Symmetry,
    Basel, 1992.'
date_created: 2020-04-15T08:56:42Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-0348-7536-3_9
language:
- iso: eng
place: Basel
publication: Bifurcation and Symmetry
publication_identifier:
  isbn:
  - '9783034875387'
  - '9783034875363'
publication_status: published
status: public
title: Mechanisms of Symmetry Creation
type: book_chapter
user_id: '15701'
year: '1992'
...
---
_id: '16547'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Jerrold E.
  full_name: Marsden, Jerrold E.
  last_name: Marsden
- first_name: Ian
  full_name: Melbourne, Ian
  last_name: Melbourne
- first_name: Jürgen
  full_name: Scheurle, Jürgen
  last_name: Scheurle
citation:
  ama: 'Dellnitz M, Marsden JE, Melbourne I, Scheurle J. Generic Bifurcations of Pendula.
    In: <i>Bifurcation and Symmetry</i>. Basel; 1992. doi:<a href="https://doi.org/10.1007/978-3-0348-7536-3_10">10.1007/978-3-0348-7536-3_10</a>'
  apa: Dellnitz, M., Marsden, J. E., Melbourne, I., &#38; Scheurle, J. (1992). Generic
    Bifurcations of Pendula. In <i>Bifurcation and Symmetry</i>. Basel. <a href="https://doi.org/10.1007/978-3-0348-7536-3_10">https://doi.org/10.1007/978-3-0348-7536-3_10</a>
  bibtex: '@inbook{Dellnitz_Marsden_Melbourne_Scheurle_1992, place={Basel}, title={Generic
    Bifurcations of Pendula}, DOI={<a href="https://doi.org/10.1007/978-3-0348-7536-3_10">10.1007/978-3-0348-7536-3_10</a>},
    booktitle={Bifurcation and Symmetry}, author={Dellnitz, Michael and Marsden, Jerrold
    E. and Melbourne, Ian and Scheurle, Jürgen}, year={1992} }'
  chicago: Dellnitz, Michael, Jerrold E. Marsden, Ian Melbourne, and Jürgen Scheurle.
    “Generic Bifurcations of Pendula.” In <i>Bifurcation and Symmetry</i>. Basel,
    1992. <a href="https://doi.org/10.1007/978-3-0348-7536-3_10">https://doi.org/10.1007/978-3-0348-7536-3_10</a>.
  ieee: M. Dellnitz, J. E. Marsden, I. Melbourne, and J. Scheurle, “Generic Bifurcations
    of Pendula,” in <i>Bifurcation and Symmetry</i>, Basel, 1992.
  mla: Dellnitz, Michael, et al. “Generic Bifurcations of Pendula.” <i>Bifurcation
    and Symmetry</i>, 1992, doi:<a href="https://doi.org/10.1007/978-3-0348-7536-3_10">10.1007/978-3-0348-7536-3_10</a>.
  short: 'M. Dellnitz, J.E. Marsden, I. Melbourne, J. Scheurle, in: Bifurcation and
    Symmetry, Basel, 1992.'
date_created: 2020-04-15T08:58:01Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-0348-7536-3_10
language:
- iso: eng
place: Basel
publication: Bifurcation and Symmetry
publication_identifier:
  isbn:
  - '9783034875387'
  - '9783034875363'
publication_status: published
status: public
title: Generic Bifurcations of Pendula
type: book_chapter
user_id: '15701'
year: '1992'
...
---
_id: '16548'
author:
- first_name: M
  full_name: Dellnitz, M
  last_name: Dellnitz
- first_name: I
  full_name: Melbourne, I
  last_name: Melbourne
- first_name: J E
  full_name: Marsden, J E
  last_name: Marsden
citation:
  ama: Dellnitz M, Melbourne I, Marsden JE. Generic bifurcation of Hamiltonian vector
    fields with symmetry. <i>Nonlinearity</i>. 1992:979-996. doi:<a href="https://doi.org/10.1088/0951-7715/5/4/008">10.1088/0951-7715/5/4/008</a>
  apa: Dellnitz, M., Melbourne, I., &#38; Marsden, J. E. (1992). Generic bifurcation
    of Hamiltonian vector fields with symmetry. <i>Nonlinearity</i>, 979–996. <a href="https://doi.org/10.1088/0951-7715/5/4/008">https://doi.org/10.1088/0951-7715/5/4/008</a>
  bibtex: '@article{Dellnitz_Melbourne_Marsden_1992, title={Generic bifurcation of
    Hamiltonian vector fields with symmetry}, DOI={<a href="https://doi.org/10.1088/0951-7715/5/4/008">10.1088/0951-7715/5/4/008</a>},
    journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I and Marsden, J E},
    year={1992}, pages={979–996} }'
  chicago: Dellnitz, M, I Melbourne, and J E Marsden. “Generic Bifurcation of Hamiltonian
    Vector Fields with Symmetry.” <i>Nonlinearity</i>, 1992, 979–96. <a href="https://doi.org/10.1088/0951-7715/5/4/008">https://doi.org/10.1088/0951-7715/5/4/008</a>.
  ieee: M. Dellnitz, I. Melbourne, and J. E. Marsden, “Generic bifurcation of Hamiltonian
    vector fields with symmetry,” <i>Nonlinearity</i>, pp. 979–996, 1992.
  mla: Dellnitz, M., et al. “Generic Bifurcation of Hamiltonian Vector Fields with
    Symmetry.” <i>Nonlinearity</i>, 1992, pp. 979–96, doi:<a href="https://doi.org/10.1088/0951-7715/5/4/008">10.1088/0951-7715/5/4/008</a>.
  short: M. Dellnitz, I. Melbourne, J.E. Marsden, Nonlinearity (1992) 979–996.
date_created: 2020-04-15T08:59:25Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/5/4/008
language:
- iso: eng
page: 979-996
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
status: public
title: Generic bifurcation of Hamiltonian vector fields with symmetry
type: journal_article
user_id: '15701'
year: '1992'
...
---
_id: '17012'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Dellnitz M. Computational bifurcation of periodic solutions in systems with
    symmetry. <i>IMA Journal of Numerical Analysis</i>. 1992;12(3):429-455. doi:<a
    href="https://doi.org/10.1093/imanum/12.3.429">10.1093/imanum/12.3.429</a>
  apa: Dellnitz, M. (1992). Computational bifurcation of periodic solutions in systems
    with symmetry. <i>IMA Journal of Numerical Analysis</i>, <i>12</i>(3), 429–455.
    <a href="https://doi.org/10.1093/imanum/12.3.429">https://doi.org/10.1093/imanum/12.3.429</a>
  bibtex: '@article{Dellnitz_1992, title={Computational bifurcation of periodic solutions
    in systems with symmetry}, volume={12}, DOI={<a href="https://doi.org/10.1093/imanum/12.3.429">10.1093/imanum/12.3.429</a>},
    number={3}, journal={IMA Journal of Numerical Analysis}, author={Dellnitz, Michael},
    year={1992}, pages={429–455} }'
  chicago: 'Dellnitz, Michael. “Computational Bifurcation of Periodic Solutions in
    Systems with Symmetry.” <i>IMA Journal of Numerical Analysis</i> 12, no. 3 (1992):
    429–55. <a href="https://doi.org/10.1093/imanum/12.3.429">https://doi.org/10.1093/imanum/12.3.429</a>.'
  ieee: M. Dellnitz, “Computational bifurcation of periodic solutions in systems with
    symmetry,” <i>IMA Journal of Numerical Analysis</i>, vol. 12, no. 3, pp. 429–455,
    1992.
  mla: Dellnitz, Michael. “Computational Bifurcation of Periodic Solutions in Systems
    with Symmetry.” <i>IMA Journal of Numerical Analysis</i>, vol. 12, no. 3, 1992,
    pp. 429–55, doi:<a href="https://doi.org/10.1093/imanum/12.3.429">10.1093/imanum/12.3.429</a>.
  short: M. Dellnitz, IMA Journal of Numerical Analysis 12 (1992) 429–455.
date_created: 2020-05-19T08:53:14Z
date_updated: 2022-01-06T06:53:02Z
department:
- _id: '101'
doi: 10.1093/imanum/12.3.429
intvolume: '        12'
issue: '3'
language:
- iso: eng
page: 429-455
publication: IMA Journal of Numerical Analysis
publication_status: published
status: public
title: Computational bifurcation of periodic solutions in systems with symmetry
type: journal_article
user_id: '32643'
volume: 12
year: '1992'
...
---
_id: '16682'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Bodo
  full_name: Werner, Bodo
  last_name: Werner
citation:
  ama: Dellnitz M, Werner B. Computational methods for bifurcation problems with symmetries—with
    special attention to steady state and Hopf bifurcation points. <i>Journal of Computational
    and Applied Mathematics</i>. 1989:97-123. doi:<a href="https://doi.org/10.1016/0377-0427(89)90150-7">10.1016/0377-0427(89)90150-7</a>
  apa: Dellnitz, M., &#38; Werner, B. (1989). Computational methods for bifurcation
    problems with symmetries—with special attention to steady state and Hopf bifurcation
    points. <i>Journal of Computational and Applied Mathematics</i>, 97–123. <a href="https://doi.org/10.1016/0377-0427(89)90150-7">https://doi.org/10.1016/0377-0427(89)90150-7</a>
  bibtex: '@article{Dellnitz_Werner_1989, title={Computational methods for bifurcation
    problems with symmetries—with special attention to steady state and Hopf bifurcation
    points}, DOI={<a href="https://doi.org/10.1016/0377-0427(89)90150-7">10.1016/0377-0427(89)90150-7</a>},
    journal={Journal of Computational and Applied Mathematics}, author={Dellnitz,
    Michael and Werner, Bodo}, year={1989}, pages={97–123} }'
  chicago: Dellnitz, Michael, and Bodo Werner. “Computational Methods for Bifurcation
    Problems with Symmetries—with Special Attention to Steady State and Hopf Bifurcation
    Points.” <i>Journal of Computational and Applied Mathematics</i>, 1989, 97–123.
    <a href="https://doi.org/10.1016/0377-0427(89)90150-7">https://doi.org/10.1016/0377-0427(89)90150-7</a>.
  ieee: M. Dellnitz and B. Werner, “Computational methods for bifurcation problems
    with symmetries—with special attention to steady state and Hopf bifurcation points,”
    <i>Journal of Computational and Applied Mathematics</i>, pp. 97–123, 1989.
  mla: Dellnitz, Michael, and Bodo Werner. “Computational Methods for Bifurcation
    Problems with Symmetries—with Special Attention to Steady State and Hopf Bifurcation
    Points.” <i>Journal of Computational and Applied Mathematics</i>, 1989, pp. 97–123,
    doi:<a href="https://doi.org/10.1016/0377-0427(89)90150-7">10.1016/0377-0427(89)90150-7</a>.
  short: M. Dellnitz, B. Werner, Journal of Computational and Applied Mathematics
    (1989) 97–123.
date_created: 2020-04-16T10:28:09Z
date_updated: 2022-01-06T06:52:54Z
department:
- _id: '101'
doi: 10.1016/0377-0427(89)90150-7
language:
- iso: eng
page: 97-123
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
status: public
title: Computational methods for bifurcation problems with symmetries—with special
  attention to steady state and Hopf bifurcation points
type: journal_article
user_id: '15701'
year: '1989'
...