Parameter exclusions in Hénon-like systems

DOI10.1070/RM2003v058n06ABEH000674zbMath1054.37019arXivmath/0304167MaRDI QIDQ4829816

Marcelo Viana, Stefano Luzzatto

Publication date: 1 December 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304167

zbMATH Keywords

critical pointshyperbolicitystrange attractorHénon-like mapsdiffeomorphism of the plane

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (5)

Non-periodic bifurcations for surface diffeomorphisms ⋮ The boundary of hyperbolicity for Hénon-like families ⋮ Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents ⋮ Statistical stability for Hénon maps of the Benedicks-Carleson type ⋮ Existence of generic cubic homoclinic tangencies for Hénon maps

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