Basin problem for Hénon-like attractors in arbitrary dimensions

DOI10.3934/DCDS.2006.15.481zbMath1112.37028OpenAlexW2028537052MaRDI QIDQ874702

Vanderlei Horita, Nivaldo Muniz

Publication date: 10 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.481

zbMATH Keywords

strange attractorssurface diffeomorphismsSRB measureHénon-like familiesrepellersnon-uniformly hyperbolic system

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) 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)

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