Sufficient condition for the hyperbolicity of mappings of the torus

DOI10.1134/S001226611704005XzbMath1376.37070OpenAlexW2610424659WikidataQ59448331 ScholiaQ59448331MaRDI QIDQ2399388

A. Yu. Kolesov, N. Kh. Rozov, Victor A. Sadovnichij

Publication date: 23 August 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226611704005x

zbMATH Keywords

torusAnosov diffeomorphismlinear hyperbolic automorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (5)

On a version of the hyperbolic annulus principle ⋮ A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus ⋮ On the hyperbolicity of toral endomorphisms ⋮ On a class of Anosov diffeomorphisms on the infinite-dimensional torus ⋮ Hyperbolicity criterion for torus endomorphisms

Cites Work

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• Simple bifurcations leading to hyperbolic attractors
• Dynamical systems IX. Transl. from the Russian by G. G. Gould
• The annulus principle in the existence problem for a hyperbolic strange attractor
• Anosov Flows

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