Positive topological entropy for multidimensional perturbations of topologically crossing homoclinicity

DOI10.3934/dcds.2011.30.243zbMath1221.37064OpenAlexW2041346365MaRDI QIDQ536131

Ming-Jiea Lyu, Ming-Chia Li

Publication date: 16 May 2011

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

Full work available at URL: https://doi.org/10.3934/dcds.2011.30.243

zbMATH Keywords

topological entropymultidimensional perturbationhomoclinicitytopological crossing

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Symbolic dynamics (37B10) Index theory for dynamical systems, Morse-Conley indices (37B30)

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