Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids

DOI10.1007/S10114-013-2434-3zbMath1318.37008OpenAlexW2100061015MaRDI QIDQ2453863

Xiaoming Du

Publication date: 11 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2434-3

zbMATH Keywords

solenoidbranched 1-manifoldnon-wandering expanding map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) General geometric structures on low-dimensional manifolds (57M50) Low-dimensional dynamical systems (37E99)

Related Items (1)

Partially volume expanding diffeomorphisms

Cites Work

• Train tracks and automorphisms of free groups
• The realization of Smale solenoid type attractors in 3-manifolds
• One-dimensional non-wandering sets
• GENUS TWO SMALE–WILLIAMS SOLENOID ATTRACTORS IN 3-MANIFOLDS
• The ambient structure of expanding attractors I. Local triviality, tubular neighborhoods
• Combinatorics of Train Tracks. (AM-125)
• 3-manifolds that admit knotted solenoids as attractors
• Differentiable dynamical systems
• Expanding attractors

This page was built for publication: Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids