Global attractors of pinched skew products

DOI10.1080/14689360210160878zbMath1024.37017OpenAlexW2084198981MaRDI QIDQ4806515

Paul Glendinning

Publication date: 23 June 2003

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/254/1/REVISED.pdf

zbMATH Keywords

irrational rotationsglobal attractorsskew productsstrange nonchaotic attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations ⋮ On the effect of forcing on fold bifurcations and early-warning signals in population dynamics ⋮ Dimensions of attractors in pinched skew products ⋮ On the Amplitude of External Perturbation and Chaos via Devil's Staircase — Stability of Attractors ⋮ Transitive sets for quasi-periodically forced monotone maps ⋮ APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE ⋮ One-dimensional monotone nonautonomous dynamical systems ⋮ On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors ⋮ Nonautonomous saddle-node bifurcations: random and deterministic forcing ⋮ Semi-hyperbolicity and bi-shadowing in nonautonomous difference equations with Lipschitz mappings ⋮ Unnamed Item ⋮ Non-smooth saddle-node bifurcations II: Dimensions of strange attractors ⋮ Strange Nonchaotic Attractors From a Family of Quasiperiodically Forced Piecewise Linear Maps

Cites Work

• Strange attractors that are not chaotic
• Invariant graphs for forced systems
• Strange non-chaotic attractor in a quasiperiodically forced circle map
• Characterizing strange nonchaotic attractors
• Semi-uniform ergodic theorems and applications to forced systems

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