Singular perturbations and a mapping on an interval for the forced van der Pol relaxation oscillator

DOI10.1016/0167-2789(84)90277-XzbMath0583.58017OpenAlexW2027728683MaRDI QIDQ1069192

E. J. M. Veling, Johan Grasman, Henk Nijmeijer

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90277-x

zbMATH Keywords

chaossingular perturbationsubharmonic solutionsVan der Pol oscillator

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Symmetry-breaking bifurcation analysis of stochastic van der Pol system via Chebyshev polynomial approximation ⋮ Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems ⋮ Gevrey solutions of singularly perturbed differential equations, an extension to the non-autonomous case ⋮ Discrete Dynamics of Two-Dimensional Nonlinear Hybrid Automata ⋮ Parabolic bursting, spike-adding, dips and slices in a minimal model

Cites Work

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• Symbolic dynamics and relaxation oscillations
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• Frequency Entrainment of a Forced van der Pol Oscillator
• Deterministic Nonperiodic Flow
• Simple mathematical models with very complicated dynamics
• Differentiable dynamical systems
• A second order differential equation with singular solutions

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