On bifurcations of area-preserving and nonorientable maps with quadratic homoclinic tangencies

DOI10.1134/S1560354714060082zbMath1342.37045arXiv1410.5704OpenAlexW2130141445MaRDI QIDQ892758

Marina Gonchenko, Sergey V. Gonchenko, Amadeu Delshams

Publication date: 12 November 2015

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

Full work available at URL: https://arxiv.org/abs/1410.5704

zbMATH Keywords

bifurcationhomoclinic tangencyarea-preserving mapnon-orientable surfaceelliptic point

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (4)

On three types of dynamics and the notion of attractor ⋮ Corrigendum: On dynamics and bifurcations of area-preserving maps with homoclinic tangencies (2015 Nonlinearity 28 3027) ⋮ On the phenomenon of mixed dynamics in Pikovsky-Topaj system of coupled rotators ⋮ Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions

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