Strange attractors in periodically-kicked degenerate Hopf bifurcations

DOI10.1007/s00220-008-0499-0zbMath1156.37007arXiv0706.2370OpenAlexW3103826212MaRDI QIDQ2517930

William Ott

Publication date: 12 January 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.2370

zbMATH Keywords

chaosperturbationHopf bifurcationstrange attractorannulus map

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (3)

Large strange attractors in the unfolding of a heteroclinic attractor ⋮ Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux ⋮ Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability

Cites Work

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• Positive Lyapunov exponent for generic one-parameter families of unimodal maps
• From invariant curves to strange attractors
• Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
• Toward a theory of rank one attractors
• Chaotic attractors of relaxation oscillators
• Shear-induced chaos
• STRANGE ATTRACTORS IN PERIODICALLY KICKED CHUA'S CIRCUIT
• Entrainment and Chaos in a Pulse-Driven Hodgkin--Huxley Oscillator
• Strange attractors with one direction of instability

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