Metric entropy and the number of periodic points

DOI10.1088/0951-7715/23/7/002zbMath1198.37035OpenAlexW1973339701MaRDI QIDQ3577798

Xue Ting Tian, Gang Liao, Wen Xiang Sun

Publication date: 23 July 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/7/002

zbMATH Keywords

classificationtopological entropyisomorphismhyperbolic orbits and setssmooth mappings and diffeomorphismsentropy and other invariantsnonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory)

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Orbit growth in dynamical systems (37C35) Topological entropy (37B40) Dynamical systems with hyperbolic orbits and sets (37D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

The growth of periodic orbits with large support ⋮ Exponential rate of periodic points and metric entropy in nonuniformly hyperbolic systems ⋮ Pressure and exponential rate over periodic orbits ⋮ Non-uniform hyperbolicity and non-uniform specification ⋮ Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures

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