Hyperbolicity criterion for torus endomorphisms

DOI10.1134/S0001434622010163zbMath1492.37038OpenAlexW4213423004MaRDI QIDQ2113409

S. D. Glyzin, A. Yu. Kolesov

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622010163

zbMATH Keywords

torushyperbolicityAnosov endomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Invariant manifold theory for dynamical systems (37D10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Topologically mixing diffeomorphisms on the infinite-dimensional torus

Cites Work

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• On topologies of triangulated infinite-dimensional manifolds
• On the existence and stability of an infinite-dimensional invariant torus
• On some sufficient hyperbolicity conditions
• The topology of symplectic partially hyperbolic automorphisms of the 4-torus
• On the hyperbolicity of toral endomorphisms
• Sufficient condition for the hyperbolicity of mappings of the torus
• Solenoidal attractors of diffeomorphisms of annular sets
• Anosov endomorphisms

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