South Kensington Campus, London SW7 2AZ, UK
Imperial College London
Lerman L. M., Turaev D. V.
On symmetry breaking bifurcations in reversible systems
2012, Vol. 8, No. 2, pp. 323-343
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).