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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 3-4, Pages 318–336
DOI: https://doi.org/10.1134/S1560354712030082 (Mi rcd405) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Breakdown of Symmetry in Reversible Systems

Lev M. Lermana, Dimitry Turaevb

a Faculty of Mathematics and Mechanics and Institute for Applied Mathematics and Cybernetics, N.I. Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, Nizhny Novgorod, 603950, Russia
b Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW7 2AZ, UK
Citations (23)
DOI: https://doi.org/10.1134/S1560354712030082
Abstract: We review results on local bifurcations of codimension 1 in reversible systems (flows and diffeomorphisms) which lead to the birth of attractor-repeller pairs from symmetric equilibria (for flows) or periodic points (for diffeomorphisms).
Keywords: reversible system, reversible diffeomorphism, bifurcation, symmetry, equilibrium state, periodic point.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00429a
11-01-00001a
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
Leverhulme Trust RPG-279
This work was partly supported by grants 10-01-00429a and 11-01-00001a of RFBR, by the RF Government grant 11.G34.31.0039, and by grant RPG-279 of the Leverhulme Trust.
Received: 20.05.2012
Accepted: 06.07.2012
Bibliographic databases:
Document Type: Article
MSC: 34C23, 34C14, 37G05, 37G40
Language: English
Citation: Lev M. Lerman, Dimitry Turaev, “Breakdown of Symmetry in Reversible Systems”, Regul. Chaotic Dyn., 17:3-4 (2012), 318–336
Citation in format AMSBIB
\Bibitem{LerTur12}
\by Lev M. Lerman, Dimitry Turaev
\paper Breakdown of Symmetry in Reversible Systems
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 3-4
\pages 318--336
\mathnet{http://mi.mathnet.ru/rcd405}
\crossref{https://doi.org/10.1134/S1560354712030082}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2956226}
\zmath{https://zbmath.org/?q=an:1280.37049}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012RCD....17..318L}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84865571815}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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