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