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
Citation:
Lerman L. M., Turaev D. V., On symmetry breaking bifurcations in reversible systems, Rus. J. Nonlin. Dyn.,
2012, Vol. 8, No. 2,
pp. 323-343
DOI:10.20537/nd1202008