Existence of generic cubic homoclinic tangencies for Hénon maps

DOI10.1017/S0143385712000168zbMath1366.37092arXivmath/0608386MaRDI QIDQ2842225

Shin Kiriki, Teruhiko Soma

Publication date: 13 August 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608386

zbMATH Keywords

Hénon mapheteroclinic cyclestrange attractorunfolding cubic tangency

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (4)

Moduli of surface diffeomorphisms with cubic tangencies ⋮ Global bifurcations close to symmetry ⋮ Takens' last problem and existence of non-trivial wandering domains ⋮ Nonexistence of wandering domains for strongly dissipative infinitely renormalizable Hénon maps at the boundary of chaos

Cites Work

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