Mixed dynamics in reversible maps with gure-8 homoclinic connections
Document typeConference report
Rights accessOpen Access
We study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle periodic points. We consider one-parameter families of rev ersible maps unfolding generally the initial heteroclinic tangency and prove that there are infinitely sequences (cascades) of bifurcations of birth of asymptotically stable and unstable as well as elliptic periodic orbits.
CitationDelshams, A.; Gonchenko, S.; Lazaro, J. Tomás. Mixed dynamics in reversible maps with gure-8 homoclinic connections. A: Hamiltonian Dynamics, Nonautonomous Systems,and Patterns in PDE's. "International Conference-School Hamiltonian dynamics, non-autonomous systems and patterns in PDE's". Nizhni Novgorod: 2014.