Horseshoe and entropy for C1 surface diffeomorphisms

DOI10.1088/0951-7715/15/3/319zbMath1017.37006OpenAlexW2092355883MaRDI QIDQ3147382

Shaobo Gan

Publication date: 18 August 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/15/3/319

zbMATH Keywords

topological entropyhomoclinic pointMorse-Smale diffeomorphismsdiffeomorphism of class \(C^1\)Liao's closing lemma

Mathematics Subject Classification ID

Topological entropy (37B40) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)

Related Items (9)

Horseshoes for diffeomorphisms preserving hyperbolic measures ⋮ Closing lemmas ⋮ Homoclinic orbits and entropy for three-dimensional flows ⋮ The Lyapunov exponents of \(C^{1}\) hyperbolic systems ⋮ Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms ⋮ Rigidity of center Lyapunov exponents and \(su\)-integrability ⋮ A sufficient condition for zero entropy ⋮ Approximation property on entropies for surface diffeomorphisms ⋮ Periodic measures and partially hyperbolic homoclinic classes

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