Family of Smale–Williams Solenoid Attractors as Solutions of Differential Equations: Exact Formula and Conjugacy

DOI10.1142/S0218127415501370zbMath1326.37012MaRDI QIDQ3453709

Wei-Ting Lin, Yi-Chiuan Chen

Publication date: 30 November 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

topological conjugacyexact formulaSmale-Williams solenoid attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) General geometric structures on low-dimensional manifolds (57M50) Low-dimensional dynamical systems (37E99)

Related Items

Solenoidal attractors of diffeomorphisms of annular sets

Cites Work

• Unnamed Item
• Unnamed Item
• Hyperbolic attractor in a system of coupled non-autonomous van der Pol oscillators: numerical test for expanding and contracting cones
• Autonomous coupled oscillators with hyperbolic strange attractors
• Hyperbolic polynomial diffeomorphisms of \(\mathbb C^2\). I: A non-planar map
• One-dimensional non-wandering sets
• Multiplications in solenoids as hyperbolic attractors
• Homotopy and dynamics for homeomorphisms of solenoids and Knaster continua
• Uniformly Hyperbolic Attractor of the Smale–Williams Type for a Poincaré Map in the Kuznetsov System
• FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS
• FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS
• Holomorphic shadowing for Hénon maps
• Differentiable dynamical systems
• Expanding attractors