A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus

DOI10.1070/SM9535OpenAlexW4200577453MaRDI QIDQ5072217

A. Yu. Kolesov, S. D. Glyzin

Publication date: 26 April 2022

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9535

zbMATH Keywords

hyperbolicitymapinfinite-dimensional torusAnosov diffeomorphism

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Continuous and differentiable maps in nonlinear functional analysis (46T20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

On some properties of the shift on an infinite-dimensional torus ⋮ Topologically mixing diffeomorphisms on the infinite-dimensional torus

Cites Work

• On some sufficient hyperbolicity conditions
• One class of structurally stable endomorphisms on an infinite-dimensional torus
• On the hyperbolicity of toral endomorphisms
• Sufficient condition for the hyperbolicity of mappings of the torus
• Solenoidal attractors of diffeomorphisms of annular sets
• Homeomorphisms Between Banach Spaces
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