On symmetry breaking bifurcations in reversible systems


    2012, Vol. 8, No. 2, pp.  323-343

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

    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


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