---
_id: '34904'
abstract:
- lang: eng
  text: The purpose of this article is to determine all subfields ℚ(β) of fixed degree
    of a given algebraic number field ℚ(α). It is convenient to describe each subfield
    by a pair (h,g) of polynomials in ℚ[t] resp. Z[t] such thatgis the minimal polynomial
    of β = h(α). The computations are done in unramifiedp-adic extensions and use
    information concerning subgroups of the Galois group of the normal closure of
    ℚ(α) obtained from the van der Waerden criterion.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Michael
  full_name: Pohst, Michael
  last_name: Pohst
citation:
  ama: Klüners J, Pohst M. On Computing Subfields. <i>Journal of Symbolic Computation</i>.
    1997;24(3-4):385-397. doi:<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>
  apa: Klüners, J., &#38; Pohst, M. (1997). On Computing Subfields. <i>Journal of
    Symbolic Computation</i>, <i>24</i>(3–4), 385–397. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>
  bibtex: '@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24},
    DOI={<a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>},
    number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV},
    author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }'
  chicago: 'Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal
    of Symbolic Computation</i> 24, no. 3–4 (1997): 385–97. <a href="https://doi.org/10.1006/jsco.1996.0140">https://doi.org/10.1006/jsco.1996.0140</a>.'
  ieee: 'J. Klüners and M. Pohst, “On Computing Subfields,” <i>Journal of Symbolic
    Computation</i>, vol. 24, no. 3–4, pp. 385–397, 1997, doi: <a href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.'
  mla: Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” <i>Journal of
    Symbolic Computation</i>, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:<a
    href="https://doi.org/10.1006/jsco.1996.0140">10.1006/jsco.1996.0140</a>.
  short: J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
date_created: 2022-12-23T10:03:02Z
date_updated: 2023-03-06T10:36:21Z
ddc:
- '000'
department:
- _id: '102'
doi: 10.1006/jsco.1996.0140
has_accepted_license: '1'
intvolume: '        24'
issue: 3-4
keyword:
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 385-397
publication: Journal of Symbolic Computation
publication_identifier:
  issn:
  - 0747-7171
publication_status: published
publisher: Elsevier BV
status: public
title: On Computing Subfields
type: journal_article
user_id: '93826'
volume: 24
year: '1997'
...
---
_id: '42806'
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. <i>Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
    Zahlkörper (Dissertation)</i>.; 1997.
  apa: Klüners, J. (1997). <i>Über die Berechnung von Automorphismen und Teilkörpern
    algebraischer Zahlkörper (Dissertation)</i>.
  bibtex: '@book{Klüners_1997, place={TU Berlin}, title={Über die Berechnung von Automorphismen
    und Teilkörpern algebraischer Zahlkörper (Dissertation)}, author={Klüners, Jürgen},
    year={1997} }'
  chicago: Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern
    Algebraischer Zahlkörper (Dissertation)</i>. TU Berlin, 1997.
  ieee: J. Klüners, <i>Über die Berechnung von Automorphismen und Teilkörpern algebraischer
    Zahlkörper (Dissertation)</i>. TU Berlin, 1997.
  mla: Klüners, Jürgen. <i>Über Die Berechnung von Automorphismen Und Teilkörpern
    Algebraischer Zahlkörper (Dissertation)</i>. 1997.
  short: J. Klüners, Über Die Berechnung von Automorphismen Und Teilkörpern Algebraischer
    Zahlkörper (Dissertation), TU Berlin, 1997.
date_created: 2023-03-07T09:00:38Z
date_updated: 2023-03-07T09:24:39Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '93'
place: TU Berlin
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diss.pdf
status: public
title: Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper
  (Dissertation)
type: dissertation
user_id: '93826'
year: '1997'
...
---
_id: '16533'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Andreas
  full_name: Hohmann, Andreas
  last_name: Hohmann
citation:
  ama: 'Dellnitz M, Hohmann A. The Computation of Unstable Manifolds Using Subdivision
    and Continuation. In: <i>Nonlinear Dynamical Systems and Chaos</i>. Basel; 1996.
    doi:<a href="https://doi.org/10.1007/978-3-0348-7518-9_21">10.1007/978-3-0348-7518-9_21</a>'
  apa: Dellnitz, M., &#38; Hohmann, A. (1996). The Computation of Unstable Manifolds
    Using Subdivision and Continuation. In <i>Nonlinear Dynamical Systems and Chaos</i>.
    Basel. <a href="https://doi.org/10.1007/978-3-0348-7518-9_21">https://doi.org/10.1007/978-3-0348-7518-9_21</a>
  bibtex: '@inbook{Dellnitz_Hohmann_1996, place={Basel}, title={The Computation of
    Unstable Manifolds Using Subdivision and Continuation}, DOI={<a href="https://doi.org/10.1007/978-3-0348-7518-9_21">10.1007/978-3-0348-7518-9_21</a>},
    booktitle={Nonlinear Dynamical Systems and Chaos}, author={Dellnitz, Michael and
    Hohmann, Andreas}, year={1996} }'
  chicago: Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds
    Using Subdivision and Continuation.” In <i>Nonlinear Dynamical Systems and Chaos</i>.
    Basel, 1996. <a href="https://doi.org/10.1007/978-3-0348-7518-9_21">https://doi.org/10.1007/978-3-0348-7518-9_21</a>.
  ieee: M. Dellnitz and A. Hohmann, “The Computation of Unstable Manifolds Using Subdivision
    and Continuation,” in <i>Nonlinear Dynamical Systems and Chaos</i>, Basel, 1996.
  mla: Dellnitz, Michael, and Andreas Hohmann. “The Computation of Unstable Manifolds
    Using Subdivision and Continuation.” <i>Nonlinear Dynamical Systems and Chaos</i>,
    1996, doi:<a href="https://doi.org/10.1007/978-3-0348-7518-9_21">10.1007/978-3-0348-7518-9_21</a>.
  short: 'M. Dellnitz, A. Hohmann, in: Nonlinear Dynamical Systems and Chaos, Basel,
    1996.'
date_created: 2020-04-15T08:27:35Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1007/978-3-0348-7518-9_21
language:
- iso: eng
place: Basel
publication: Nonlinear Dynamical Systems and Chaos
publication_identifier:
  isbn:
  - '9783034875202'
  - '9783034875189'
publication_status: published
status: public
title: The Computation of Unstable Manifolds Using Subdivision and Continuation
type: book_chapter
user_id: '15701'
year: '1996'
...
---
_id: '16510'
abstract:
- lang: eng
  text: <jats:p> In an array of coupled oscillators, synchronous chaos may occur in
    the sense that all the oscillators behave identically although the corresponding
    motion is chaotic. When a parameter is varied this fully symmetric dynamical state
    can lose its stability, and the main purpose of this paper is to investigate which
    type of dynamical behavior is expected to be observed once the loss of stability
    has occurred. The essential tool is a classification of Lyapunov exponents based
    on the symmetry of the underlying problem. This classification is crucial in the
    derivation of the analytical results but it also allows an efficient computation
    of the dominant Lyapunov exponent associated with each symmetry type. We show
    how these dominant exponents determine the stability of invariant sets possessing
    various instantaneous symmetries, and this leads to the idea of symmetry breaking
    bifurcations of chaotic attractors. Finally, the results and ideas are illustrated
    for several systems of coupled oscillators. </jats:p>
author:
- first_name: Philip J.
  full_name: Aston, Philip J.
  last_name: Aston
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
citation:
  ama: Aston PJ, Dellnitz M. Symmetry Breaking Bifurcations of Chaotic Attractors.
    <i>International Journal of Bifurcation and Chaos</i>. 1995:1643-1676. doi:<a
    href="https://doi.org/10.1142/s021812749500123x">10.1142/s021812749500123x</a>
  apa: Aston, P. J., &#38; Dellnitz, M. (1995). Symmetry Breaking Bifurcations of
    Chaotic Attractors. <i>International Journal of Bifurcation and Chaos</i>, 1643–1676.
    <a href="https://doi.org/10.1142/s021812749500123x">https://doi.org/10.1142/s021812749500123x</a>
  bibtex: '@article{Aston_Dellnitz_1995, title={Symmetry Breaking Bifurcations of
    Chaotic Attractors}, DOI={<a href="https://doi.org/10.1142/s021812749500123x">10.1142/s021812749500123x</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Aston, Philip
    J. and Dellnitz, Michael}, year={1995}, pages={1643–1676} }'
  chicago: Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations
    of Chaotic Attractors.” <i>International Journal of Bifurcation and Chaos</i>,
    1995, 1643–76. <a href="https://doi.org/10.1142/s021812749500123x">https://doi.org/10.1142/s021812749500123x</a>.
  ieee: P. J. Aston and M. Dellnitz, “Symmetry Breaking Bifurcations of Chaotic Attractors,”
    <i>International Journal of Bifurcation and Chaos</i>, pp. 1643–1676, 1995.
  mla: Aston, Philip J., and Michael Dellnitz. “Symmetry Breaking Bifurcations of
    Chaotic Attractors.” <i>International Journal of Bifurcation and Chaos</i>, 1995,
    pp. 1643–76, doi:<a href="https://doi.org/10.1142/s021812749500123x">10.1142/s021812749500123x</a>.
  short: P.J. Aston, M. Dellnitz, International Journal of Bifurcation and Chaos (1995)
    1643–1676.
date_created: 2020-04-15T07:23:50Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s021812749500123x
language:
- iso: eng
page: 1643-1676
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: Symmetry Breaking Bifurcations of Chaotic Attractors
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16532'
author:
- first_name: M
  full_name: Dellnitz, M
  last_name: Dellnitz
- first_name: C
  full_name: Heinrich, C
  last_name: Heinrich
citation:
  ama: Dellnitz M, Heinrich C. Admissible symmetry increasing bifurcations. <i>Nonlinearity</i>.
    1995:1039-1066. doi:<a href="https://doi.org/10.1088/0951-7715/8/6/009">10.1088/0951-7715/8/6/009</a>
  apa: Dellnitz, M., &#38; Heinrich, C. (1995). Admissible symmetry increasing bifurcations.
    <i>Nonlinearity</i>, 1039–1066. <a href="https://doi.org/10.1088/0951-7715/8/6/009">https://doi.org/10.1088/0951-7715/8/6/009</a>
  bibtex: '@article{Dellnitz_Heinrich_1995, title={Admissible symmetry increasing
    bifurcations}, DOI={<a href="https://doi.org/10.1088/0951-7715/8/6/009">10.1088/0951-7715/8/6/009</a>},
    journal={Nonlinearity}, author={Dellnitz, M and Heinrich, C}, year={1995}, pages={1039–1066}
    }'
  chicago: Dellnitz, M, and C Heinrich. “Admissible Symmetry Increasing Bifurcations.”
    <i>Nonlinearity</i>, 1995, 1039–66. <a href="https://doi.org/10.1088/0951-7715/8/6/009">https://doi.org/10.1088/0951-7715/8/6/009</a>.
  ieee: M. Dellnitz and C. Heinrich, “Admissible symmetry increasing bifurcations,”
    <i>Nonlinearity</i>, pp. 1039–1066, 1995.
  mla: Dellnitz, M., and C. Heinrich. “Admissible Symmetry Increasing Bifurcations.”
    <i>Nonlinearity</i>, 1995, pp. 1039–66, doi:<a href="https://doi.org/10.1088/0951-7715/8/6/009">10.1088/0951-7715/8/6/009</a>.
  short: M. Dellnitz, C. Heinrich, Nonlinearity (1995) 1039–1066.
date_created: 2020-04-15T08:25:12Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/8/6/009
language:
- iso: eng
page: 1039-1066
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
status: public
title: Admissible symmetry increasing bifurcations
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16542'
author:
- first_name: M
  full_name: Dellnitz, M
  last_name: Dellnitz
- first_name: I
  full_name: Melbourne, I
  last_name: Melbourne
citation:
  ama: Dellnitz M, Melbourne I. A note on the shadowing lemma and symmetric periodic
    points. <i>Nonlinearity</i>. 1995:1067-1075. doi:<a href="https://doi.org/10.1088/0951-7715/8/6/010">10.1088/0951-7715/8/6/010</a>
  apa: Dellnitz, M., &#38; Melbourne, I. (1995). A note on the shadowing lemma and
    symmetric periodic points. <i>Nonlinearity</i>, 1067–1075. <a href="https://doi.org/10.1088/0951-7715/8/6/010">https://doi.org/10.1088/0951-7715/8/6/010</a>
  bibtex: '@article{Dellnitz_Melbourne_1995, title={A note on the shadowing lemma
    and symmetric periodic points}, DOI={<a href="https://doi.org/10.1088/0951-7715/8/6/010">10.1088/0951-7715/8/6/010</a>},
    journal={Nonlinearity}, author={Dellnitz, M and Melbourne, I}, year={1995}, pages={1067–1075}
    }'
  chicago: Dellnitz, M, and I Melbourne. “A Note on the Shadowing Lemma and Symmetric
    Periodic Points.” <i>Nonlinearity</i>, 1995, 1067–75. <a href="https://doi.org/10.1088/0951-7715/8/6/010">https://doi.org/10.1088/0951-7715/8/6/010</a>.
  ieee: M. Dellnitz and I. Melbourne, “A note on the shadowing lemma and symmetric
    periodic points,” <i>Nonlinearity</i>, pp. 1067–1075, 1995.
  mla: Dellnitz, M., and I. Melbourne. “A Note on the Shadowing Lemma and Symmetric
    Periodic Points.” <i>Nonlinearity</i>, 1995, pp. 1067–75, doi:<a href="https://doi.org/10.1088/0951-7715/8/6/010">10.1088/0951-7715/8/6/010</a>.
  short: M. Dellnitz, I. Melbourne, Nonlinearity (1995) 1067–1075.
date_created: 2020-04-15T08:46:30Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1088/0951-7715/8/6/010
language:
- iso: eng
page: 1067-1075
publication: Nonlinearity
publication_identifier:
  issn:
  - 0951-7715
  - 1361-6544
publication_status: published
status: public
title: A note on the shadowing lemma and symmetric periodic points
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16550'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Michael
  full_name: Field, Michael
  last_name: Field
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
- first_name: Jun
  full_name: Ma, Jun
  last_name: Ma
- first_name: Andreas
  full_name: Hohmann, Andreas
  last_name: Hohmann
citation:
  ama: Dellnitz M, Field M, Golubitsky M, Ma J, Hohmann A. Cycling Chaos. <i>International
    Journal of Bifurcation and Chaos</i>. 1995:1243-1247. doi:<a href="https://doi.org/10.1142/s0218127495000909">10.1142/s0218127495000909</a>
  apa: Dellnitz, M., Field, M., Golubitsky, M., Ma, J., &#38; Hohmann, A. (1995).
    Cycling Chaos. <i>International Journal of Bifurcation and Chaos</i>, 1243–1247.
    <a href="https://doi.org/10.1142/s0218127495000909">https://doi.org/10.1142/s0218127495000909</a>
  bibtex: '@article{Dellnitz_Field_Golubitsky_Ma_Hohmann_1995, title={Cycling Chaos},
    DOI={<a href="https://doi.org/10.1142/s0218127495000909">10.1142/s0218127495000909</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
    and Field, Michael and Golubitsky, Martin and Ma, Jun and Hohmann, Andreas}, year={1995},
    pages={1243–1247} }'
  chicago: Dellnitz, Michael, Michael Field, Martin Golubitsky, Jun Ma, and Andreas
    Hohmann. “Cycling Chaos.” <i>International Journal of Bifurcation and Chaos</i>,
    1995, 1243–47. <a href="https://doi.org/10.1142/s0218127495000909">https://doi.org/10.1142/s0218127495000909</a>.
  ieee: M. Dellnitz, M. Field, M. Golubitsky, J. Ma, and A. Hohmann, “Cycling Chaos,”
    <i>International Journal of Bifurcation and Chaos</i>, pp. 1243–1247, 1995.
  mla: Dellnitz, Michael, et al. “Cycling Chaos.” <i>International Journal of Bifurcation
    and Chaos</i>, 1995, pp. 1243–47, doi:<a href="https://doi.org/10.1142/s0218127495000909">10.1142/s0218127495000909</a>.
  short: M. Dellnitz, M. Field, M. Golubitsky, J. Ma, A. Hohmann, International Journal
    of Bifurcation and Chaos (1995) 1243–1247.
date_created: 2020-04-15T09:04:16Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127495000909
language:
- iso: eng
page: 1243-1247
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: Cycling Chaos
type: journal_article
user_id: '15701'
year: '1995'
...
---
_id: '16551'
abstract:
- lang: eng
  text: <jats:p> Spiral patterns have been observed experimentally, numerically, and
    theoretically in a variety of systems. It is often believed that these spiral
    wave patterns can occur only in systems of reaction–diffusion equations. We show,
    both theoretically (using Hopf bifurcation techniques) and numerically (using
    both direct simulation and continuation of rotating waves) that spiral wave patterns
    can appear in a single reaction–diffusion equation [ in u(x, t)] on a disk, if
    one assumes "spiral" boundary conditions (u<jats:sub>r</jats:sub> = mu<jats:sub>θ</jats:sub>).
    Spiral boundary conditions are motivated by assuming that a solution is infinitesimally
    an Archimedian spiral near the boundary. It follows from a bifurcation analysis
    that for this form of spirals there are no singularities in the spiral pattern
    (technically there is no spiral tip) and that at bifurcation there is a steep
    gradient between the "red" and "blue" arms of the spiral. </jats:p>
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Martin
  full_name: Golubitsky, Martin
  last_name: Golubitsky
- first_name: Andreas
  full_name: Hohmann, Andreas
  last_name: Hohmann
- first_name: Ian
  full_name: Stewart, Ian
  last_name: Stewart
citation:
  ama: Dellnitz M, Golubitsky M, Hohmann A, Stewart I. Spirals in Scalar Reaction–Diffusion
    Equations. <i>International Journal of Bifurcation and Chaos</i>. 1995:1487-1501.
    doi:<a href="https://doi.org/10.1142/s0218127495001149">10.1142/s0218127495001149</a>
  apa: Dellnitz, M., Golubitsky, M., Hohmann, A., &#38; Stewart, I. (1995). Spirals
    in Scalar Reaction–Diffusion Equations. <i>International Journal of Bifurcation
    and Chaos</i>, 1487–1501. <a href="https://doi.org/10.1142/s0218127495001149">https://doi.org/10.1142/s0218127495001149</a>
  bibtex: '@article{Dellnitz_Golubitsky_Hohmann_Stewart_1995, title={Spirals in Scalar
    Reaction–Diffusion Equations}, DOI={<a href="https://doi.org/10.1142/s0218127495001149">10.1142/s0218127495001149</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
    and Golubitsky, Martin and Hohmann, Andreas and Stewart, Ian}, year={1995}, pages={1487–1501}
    }'
  chicago: Dellnitz, Michael, Martin Golubitsky, Andreas Hohmann, and Ian Stewart.
    “Spirals in Scalar Reaction–Diffusion Equations.” <i>International Journal of
    Bifurcation and Chaos</i>, 1995, 1487–1501. <a href="https://doi.org/10.1142/s0218127495001149">https://doi.org/10.1142/s0218127495001149</a>.
  ieee: M. Dellnitz, M. Golubitsky, A. Hohmann, and I. Stewart, “Spirals in Scalar
    Reaction–Diffusion Equations,” <i>International Journal of Bifurcation and Chaos</i>,
    pp. 1487–1501, 1995.
  mla: Dellnitz, Michael, et al. “Spirals in Scalar Reaction–Diffusion Equations.”
    <i>International Journal of Bifurcation and Chaos</i>, 1995, pp. 1487–501, doi:<a
    href="https://doi.org/10.1142/s0218127495001149">10.1142/s0218127495001149</a>.
  short: M. Dellnitz, M. Golubitsky, A. Hohmann, I. Stewart, International Journal
    of Bifurcation and Chaos (1995) 1487–1501.
date_created: 2020-04-15T09:05:30Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127495001149
language:
- iso: eng
page: 1487-1501
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: Spirals in Scalar Reaction–Diffusion Equations
type: journal_article
user_id: '15701'
year: '1995'
...
---
_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: '42808'
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>.; 1995.
  apa: Klüners, J. (1995). <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper
    (Diplomarbeit)</i>.
  bibtex: '@book{Klüners_1995, place={TU Berlin}, title={Über die Berechnung von Teilkörpern
    algebraischer Zahlkörper (Diplomarbeit)}, author={Klüners, Jürgen}, year={1995}
    }'
  chicago: Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>. TU Berlin, 1995.
  ieee: J. Klüners, <i>Über die Berechnung von Teilkörpern algebraischer Zahlkörper
    (Diplomarbeit)</i>. TU Berlin, 1995.
  mla: Klüners, Jürgen. <i>Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit)</i>. 1995.
  short: J. Klüners, Über Die Berechnung von Teilkörpern Algebraischer Zahlkörper
    (Diplomarbeit), TU Berlin, 1995.
date_created: 2023-03-07T09:12:39Z
date_updated: 2023-03-07T09:25:16Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '91'
place: TU Berlin
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/diplom.pdf
status: public
title: Über die Berechnung von Teilkörpern algebraischer Zahlkörper (Diplomarbeit)
type: mastersthesis
user_id: '93826'
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'
...