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On dynamics and bifurcations of area-preserving maps with homoclinic tangencies
Delshams Valdés, Amadeu; Gonchenko, Marina; Gonchenko, Sergey V.
Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics
We study bifurcations of area-preserving maps, both orientable (symplectic) and non-orientable, with quadratic homoclinic tangencies. We consider one and two parameter general unfoldings and establish results related to the appearance of elliptic periodic orbits. In particular, we find conditions for such maps to have infinitely many generic (KAM-stable) elliptic periodic orbits of all successive periods starting at some number.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística
Astrodynamics and satellite systems
homoclinic tangency
area preserving mapping

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