One-dimensional contracting singular horseshoe

DOI10.1090/S0002-9939-2010-10392-1zbMath1223.37051OpenAlexW2013157079MaRDI QIDQ3056544

Dante Carrasco-Olivera, Carlos A. Morales, Bernardo San Martín Rebolledo

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10392-1

zbMATH Keywords

symbolic dynamicsnon-wandering setconjugationone-dimensional mapstransitive set

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Contracting singular horseshoe ⋮ SINGULAR CYCLES AND C^k-ROBUST TRANSITIVE SET ON MANIFOLD WITH BOUNDARY ⋮ Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems

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