Chaotic orbits for differentiable maps near anti-integrable limits

DOI10.1016/j.jmaa.2015.10.058zbMath1329.37033OpenAlexW1855488785MaRDI QIDQ892367

N. E. Zubov

Publication date: 18 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.058

zbMATH Keywords

Hénon mapstransversal homoclinic orbitsanti-integrable limitsArneodo-Coullet-Tresser mapsheteroclinical repellerssnap-back repellers

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) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Anti-integrability for Three-Dimensional Quadratic Maps

Cites Work

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• Chaotic trajectories in the standard map. The concept of anti- integrability
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Homoclinic bifurcations for the Hénon map
• HETEROCLINICAL REPELLERS IMPLY CHAOS
• Bifurcation of periodic points of some diffeomorphisms on R3
• Period Three Implies Chaos
• Topological horseshoes for perturbations of singular difference equations
• Exponential dichotomy for solutions of discrete systems

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