Thick attractors of step skew products

DOI10.1134/S1560354710020188zbMath1225.37033OpenAlexW2015911561MaRDI QIDQ618208

Yulij S. Ilyashenko

Publication date: 14 January 2011

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354710020188

zbMATH Keywords

diffeomorphismattractorstep skew product

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (12)

Iterated function systems of logistic maps: synchronization and intermittency ⋮ Sternberg linearization theorem for skew products ⋮ On the attractors of step skew products over the Bernoulli shift ⋮ Non hyperbolic solenoidal thick bony attractors ⋮ Thick attractors of boundary preserving diffeomorphisms ⋮ Singular stationary measures for random piecewise affine interval homeomorphisms ⋮ Attractors and skew products ⋮ Random interval diffeomorphisms ⋮ Invariant multi-graphs in step skew-products ⋮ Ergodicity of non-autonomous discrete systems with non-uniform expansion ⋮ Generic invariant measures for iterated systems of interval homeomorphisms ⋮ Skew products of interval maps over subshifts

Cites Work

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• Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins
• Diffeomorphisms with intermingled attracting basins
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
• MINIMAL AND STRANGE ATTRACTORS
• The concept of minimal attractor and maximal attractors of partial differential equations of the Kuramoto–Sivashinsky type

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