Thick attractors of boundary preserving diffeomorphisms

DOI10.1016/J.INDAG.2011.09.006zbMath1262.37014OpenAlexW2039768426MaRDI QIDQ652425

Yulij S. Ilyashenko

Publication date: 14 December 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2011.09.006

zbMATH Keywords

Milnor attractormaximal attractoralmost topologically mixingquasiopenthick

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (10)

Milnor attractors of skew products with the fiber a circle ⋮ Omega-limit sets of generic points of partially hyperbolic diffeomorphisms ⋮ Sternberg linearization theorem for skew products ⋮ On the attractors of step skew products over the Bernoulli shift ⋮ Non hyperbolic solenoidal thick bony attractors ⋮ Attractors and skew products ⋮ Random interval diffeomorphisms ⋮ Persistent massive attractors of smooth maps ⋮ Skew products of interval maps over subshifts ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open

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