Breakdown of Symmetry in Reversible Systems

2012, Volume 17, Numbers 3-4, pp. 318-336

Author(s): Lerman L. M., Turaev D. V.

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

Citation: Lerman L. M., Turaev D. V., Breakdown of Symmetry in Reversible Systems, Regular and Chaotic Dynamics, 2012, Volume 17, Numbers 3-4, pp. 318-336

DOI: 10.1134/S1560354712030082

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