On the index problem of \(C^1\)-generic wild homoclinic classes in dimension three

DOI10.3934/DCDS.2011.31.913zbMath1417.37120arXiv1006.5571OpenAlexW2328470894MaRDI QIDQ652214

Katsutoshi Shinohara

Publication date: 13 December 2011

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

Full work available at URL: https://arxiv.org/abs/1006.5571

zbMATH Keywords

dominated splittinghomoclinic tangencyheterodimensional cycle

Mathematics Subject Classification ID

Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (4)

From wild Lorenz-like to wild Rovella-like dynamics ⋮ Flexible periodic points ⋮ Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication ⋮ Interactions of the Julia Set with Critical and (Un)Stable Sets in an Angle-Doubling Map on ℂ\{0}

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