On super-exponential divergence of periodic points for partially hyperbolic systems

DOI10.3934/dcds.2021169zbMath1494.37018arXiv2102.00795OpenAlexW3213957560MaRDI QIDQ2078351

Xiaolong Li, Katsutoshi Shinohara

Publication date: 28 February 2022

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

Full work available at URL: https://arxiv.org/abs/2102.00795

zbMATH Keywords

nonuniform hyperbolicitypartial hyperbolicitysuper-exponential growthheterodimensional cyclesnumber of periodic points

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

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