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On a version of the hyperbolic annulus principle

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Publication:1631163
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DOI10.1134/S0012266118080025zbMath1403.37030OpenAlexW2891785534WikidataQ129227681 ScholiaQ129227681MaRDI QIDQ1631163

A. Yu. Kolesov, S. D. Glyzin, N. Kh. Rozov

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118080025

zbMATH Keywords

diffeomorphismannulus


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)


Related Items

Solenoidal attractors of diffeomorphisms of annular sets ⋮ Hyperbolic attractors of diffeomorphisms of Euclidean space ⋮ On a class of Anosov diffeomorphisms on the infinite-dimensional torus



Cites Work

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  • Simple bifurcations leading to hyperbolic attractors
  • Hyperbolic annulus principle
  • Sufficient condition for the hyperbolicity of mappings of the torus
  • The annulus principle in the existence problem for a hyperbolic strange attractor
  • On the geometry of hyperbolic attractors of smooth cascades
  • On Devaney's Definition of Chaos
  • Differentiable dynamical systems
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