A chaotic blue sky catastrophe in forced relaxation oscillations

DOI10.1016/0167-2789(86)90013-8zbMath0602.58035OpenAlexW2012652114MaRDI QIDQ1081935

Ralph H. Abraham, H. Bruce Stewart

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90013-8

zbMATH Keywords

chaotic attractor of a periodically forced Van der Pol oscillator

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (10)

Visualization of the Lorenz system. (Extended abstract) ⋮ Nonlinear dynamics in coupled fuzzy control systems. I: Coherence and chaos-frustration in triangle configuration ⋮ Strange attractors of infinitesimal widths in the bifurcation diagram with an unusual mechanism of onset. Nonlinear dynamics in coupled fuzzy control systems. II ⋮ A chaotic crisis between chaotic saddle and attractor in forced Duffing oscillators. ⋮ Application of fixed point theory to chaotic attractors of forced oscillators ⋮ A fuzzy blue sky catastrophe ⋮ Rotation intervals and entropy on attracting annular continua ⋮ Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator ⋮ ALFVÉN BOUNDARY CRISIS ⋮ Explosions of chaotic sets

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