This article is cited in 25 papers

Breakdown of Symmetry in Reversible Systems

Lev M. Lerman^a, Dimitry Turaev<sup>b

a</sup> 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

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.

MSC: 34C23, 34C14, 37G05, 37G40

Received: 20.05.2012
Accepted: 06.07.2012

Language: English

DOI: 10.1134/S1560354712030082

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