GENUS TWO SMALE–WILLIAMS SOLENOID ATTRACTORS IN 3-MANIFOLDS

DOI10.1142/S0218216511009108zbMath1242.57015arXivmath/0610474OpenAlexW2082245840MaRDI QIDQ3021216

Bin Yu, Jiming Ma

Publication date: 22 July 2011

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610474

zbMATH Keywords

alternating Heegaard diagramSmale-Williams solenoid attractors

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99) Critical points of functions and mappings on manifolds (58K05)

Related Items (4)

On spectral decomposition of Smale–Vietoris axiom A diffeomorphisms ⋮ О соответствии базисных множеств А-эндоморфизмов и А-диффеоморфизмов ⋮ Rough diffeomorphisms with basic sets of codimension one ⋮ Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids

Cites Work

• Classical tessellations and three-manifolds
• Genus 2 Heegaard decompositions of small Seifert manifolds
• Train tracks and automorphisms of free groups
• The realization of Smale solenoid type attractors in 3-manifolds
• One-dimensional non-wandering sets
• The ambient structure of expanding attractors I. Local triviality, tubular neighborhoods
• The Ambient Structure of Expanding Attractors II. Solenoids in 3-Manifolds
• Incompressible surfaces and Dehn surgery on 1-bridge knots in handlebodies
• 3-manifolds that admit knotted solenoids as attractors
• Differentiable dynamical systems
• Expanding attractors

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