Bifurcations of a particular forced van der Pol oscillator

DOI10.1007/BF02128243zbMath0545.70029OpenAlexW2082324020MaRDI QIDQ797329

K. I. Taha, David K. Arrowsmith

Publication date: 1983

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02128243

zbMATH Keywords

singular pointsaveraging methodphase portraitautonomous differential equationVan der Pol oscillator

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05)

Related Items (3)

Neimark bifurcation, almost-periodicity and chaos in the forced van der Pol-Duffing system in the neighbourhood of the principal resonance ⋮ Two kinds of evolution of strange attractors for the example of a particular nonlinear oscillator ⋮ Chaos in a particular nonlinear oscillator

Cites Work

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• Bifurcations at a cusp singularity with applications
• The singularity \(x\partial /\partial y\)
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• Generic one-parameter families of vector fields on two-dimensional manifolds
• Singularities of vector fields
• Bifurcations of the forced van der Pol oscillator
• ON THE TRANSFORMATIONS OF SINGULARITIES AND LIMIT CYCLES OF THE VARIATIONAL EQUATIONS OF VAN DER POL

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