Bifurcations of Cubic Homoclinic Tangencies in Two-dimensional Symplectic Maps

DOI10.1051/MMNP/201712104zbMath1384.37068arXiv1606.09011OpenAlexW2963269163MaRDI QIDQ4607544

Marina Gonchenko, Ivan I. Ovsyannikov, Sergey V. Gonchenko

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09011

zbMATH Keywords

bifurcationsymplectic maphomoclinic tangency1:4 resonancecubic Hénon map

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Normal forms for dynamical systems (37G05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (3)

On \(1:3\) resonance under reversible perturbations of conservative cubic Hénon maps ⋮ On local and global aspects of the 1:4 resonance in the conservative cubic Hénon maps ⋮ Reversible perturbations of conservative Hénon-like maps

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