Non-uniformly hyperbolic diffeomorphisms derived from the standard map

DOI10.1007/s00220-014-1932-1zbMath1350.37032arXiv1211.3380OpenAlexW2000270633MaRDI QIDQ2249448

Pierre Berger, Pablo D. Carrasco

Publication date: 1 July 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3380

zbMATH Keywords

Axiom ALyapunov exponentstandard map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical aspects of twist maps (37E40)

Related Items (10)

Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms ⋮ On Herman's positive entropy conjecture ⋮ (Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms ⋮ Random products of standard maps ⋮ Random‐like properties of chaotic forcing ⋮ Open sets of partially hyperbolic skew products having a unique SRB measure ⋮ Lyapunov exponents for random perturbations of some area-preserving maps including the standard map ⋮ Uniqueness of the measure of maximal entropy for the standard map ⋮ On the stable ergodicity of Berger–Carrasco’s example ⋮ Lyapunov exponents for random perturbations of coupled standard maps

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