Examples of attracting sets of Birkhoff type

DOI10.1007/BF00047213zbMath0724.58043OpenAlexW2051091660MaRDI QIDQ757938

C. M. Place, David K. Arrowsmith

Publication date: 1990

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047213

zbMATH Keywords

bifurcationattractorrotation intervaltwist mapforced oscillatorMather sethomoclinic tanglestrange attracting set

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)

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Rotational chaos in dissipative systems
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Discrete Dynamical Systems in Dimensions One and Two
• Josephson's junction, annulus maps, Birkhoff attractors, horseshoes and rotation sets
• Periodic orbits for dissipative twist maps

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