Non-uniformly hyperbolic horseshoes in the standard family

DOI10.1016/j.crma.2017.12.012zbMath1386.37041arXiv1712.06656OpenAlexW2963808397MaRDI QIDQ1701503

Carlos Matheus, Jacob Palis, Carlos Gustavo T.de A. Moreira

Publication date: 26 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06656

zbMATH Keywords

two-torusnonuniformly hyperbolic horseshoe

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items

STABLE SETS OF CERTAIN NON-UNIFORMLY HYPERBOLIC HORSESHOES HAVE THE EXPECTED DIMENSION ⋮ Uniqueness of the measure of maximal entropy for the standard map

Cites Work

• Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles
• Plenty of elliptic islands for the standard family of area preserving maps