Mixed dynamics of 2-dimensional reversible maps with a symmetric couple of quadratic homoclinic tangencies

DOI10.3934/dcds.2018196zbMath1397.37052arXiv1412.1128OpenAlexW2964249180MaRDI QIDQ1661182

Marina Gonchenko, Amadeu Delshams, J. Tomás Lázaro, Sergey V. Gonchenko

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.1128

zbMATH Keywords

Newhouse phenomenonhomoclinic and heteroclinic tangenciesreversible mixed dynamics

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items

Three types of attractors and mixed dynamics of nonholonomic models of rigid body motion ⋮ Antisymmetric diffeomorphisms and bifurcations of a double conservative Hénon map ⋮ On mixed dynamics of two-dimensional reversible diffeomorphisms with symmetric non-transversal heteroclinic cycles ⋮ Dense heteroclinic tangencies near a Bykov cycle ⋮ Reversible perturbations of conservative Hénon-like maps ⋮ Emergence and synchronization of a reversible core in a system of forced adaptively coupled Kuramoto oscillators

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