Smale solenoid attractors and affine Hirsch foliations

DOI10.1017/etds.2017.30zbMath1500.37024OpenAlexW2611007493WikidataQ125296212 ScholiaQ125296212MaRDI QIDQ4645907

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Publication date: 11 January 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2017.30

zbMATH Keywords

Hirsch foliationsHirsch manifoldSmale solenoid diffeomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Foliations in differential topology; geometric theory (57R30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15) Foliations generated by dynamical systems (37C86)

Related Items (1)

Affine Hirsch foliations on 3-manifolds

Cites Work

• Axiom A diffeomorphisms derived from Anosov flows
• Special positions for surfaces bounded by closed braids
• The realization of Smale solenoid type attractors in 3-manifolds
• Zero-dimensional solenoidal base sets
• The ambient structure of expanding attractors I. Local triviality, tubular neighborhoods
• The Ambient Structure of Expanding Attractors II. Solenoids in 3-Manifolds
• Diffeomorphisms Obtained from Endomorphisms
• 3-manifolds that admit knotted solenoids as attractors
• Differentiable dynamical systems
• Expanding attractors
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