Breaking hyperbolicity for smooth symplectic toral diffeomorphisms

DOI10.1134/S1560354710020085zbMath1203.37036WikidataQ126253412 ScholiaQ126253412MaRDI QIDQ618195

Sumit K. Garg

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

bifurcationtorussymplectic diffeomorphismhomoclinic tangency\(\pi_{1}\)-diffeomorphismalmost hyperbolicanosov diffeomorphismbreak of hyperbolicitydegenerate saddle

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items

Breakdown of symmetry in reversible systems, Mixed dynamics in a parabolic standard map

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