On $C^{2}$-stable effects of intermingled basins of attractors in classes of boundary-preserving maps

DOI10.1090/S0077-1554-2012-00196-4zbMath1253.37035MaRDI QIDQ5388838

Victor Kleptsyn, P. S. Saltykov

Publication date: 20 April 2012

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

stabilitydynamical systemattractorHölder rectifying mapmap of an annuluspartially hyperbolic skew product

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (8)

A robustly transitive diffeomorphism of Kan's type ⋮ Thick attractors of boundary preserving diffeomorphisms ⋮ Robustly topological mixing of Kan's map ⋮ Attractors and skew products ⋮ Random interval diffeomorphisms ⋮ On the non-robustness of intermingled basins ⋮ Anosov diffeomorphism with a horseshoe that attracts almost any point ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A special ergodic theorem for Anosov diffeomorphisms on the 2-torus
• Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder
• Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins
• Diffeomorphisms with intermingled attracting basins
• Fubini foiled: Katok's paradoxical example in measure theory
• Hausdorff dimension of the set of generic points for Gibbs measures
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Certain new robust properties of invariant sets and attractors of dynamical systems
• Pathological foliations and removable zero exponents
• Random conformal dynamical systems
• A global perspective for non-conservative dynamics
• Nonremovable zero Lyapunov exponent
• Hölder properties of perturbed skew products and Fubini regained
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
• MINIMAL AND STRANGE ATTRACTORS
• The regularity of central leaves of partially hyperbolic sets and its applications
• Orbits with historic behaviour, or non-existence of averages
• Some Large Deviation Results for Dynamical Systems
• Invariant manifolds
• Large deviations

This page was built for publication: On $C^{2}$-stable effects of intermingled basins of attractors in classes of boundary-preserving maps