Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 2, Pages 323–343 (Mi nd324)  
This article is cited in 3 scientific papers (total in 3 papers)

On symmetry breaking bifurcations in reversible systems

L. M. Lermanab, D. V. Turaevc

a Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod, pr. Gagarina. 23, Nizhnii Novgorod, 603950, Russia
b N. I. Lobachevski State University of Nizhni Novgorod, Faculty of Mechanics and Mathematics, pr. Gagarina. 23, Nizhnii Novgorod, 603950, Russia
c Department of Mathematics, Imperial College of Science, Technology and Medicine, London SW7 2AZ
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Abstract: We review results on local bifurcations in reversible systems (flows and diffeomorphisms) which lead to the creation of pairs attractor–repellor at bifurcations from symmetric equilibria (for flows) and fixed points (for diffeomorphisms). We consider bifurcations of co-dimension 1 in systems of small dimensions (2,3, and 4).
Keywords: reversible system, reversible diffeomorphism, bifurcation, symmetric equilibrium, symmetric fixed point, loss of symmetry.
Received: 20.05.2012
Document Type: Article
UDC: 517.938
MSC: 34С23, 34С14, 37G05, 37G40
Language: Russian
Citation: L. M. Lerman, D. V. Turaev, “On symmetry breaking bifurcations in reversible systems”, Nelin. Dinam., 8:2 (2012), 323–343
Citation in format AMSBIB
\Bibitem{LerTur12}
\by L.~M.~Lerman, D.~V.~Turaev
\paper On symmetry breaking bifurcations in reversible systems
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 2
\pages 323--343
\mathnet{http://mi.mathnet.ru/nd324}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Нелинейная динамика
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