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A Tame Degenerate Hopf-Pitchfork Bifurcation in a Modified van der Pol–Duffing Oscillator

✍ Scribed by A. Algaba; E. Freire; E. Gamero; A. J. Rodríguez-Luis

Book ID
110262181
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
288 KB
Volume
22
Category
Article
ISSN
0924-090X

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Nonresonant Hopf bifurcations of a contr
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The trivial equilibrium of a van der Pol-Duffing oscillator with a nonlinear feedback control may lose its stability via Hopf bifurcations, when the time delay involved in the feedback control reaches certain values. Nonresonant Hopf-Hopf interactions may occur in the controlled van der Pol-Duffing

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This paper examines the suppression of hysteresis in a forced nonlinear self-sustained oscillator near the fundamental resonance. The suppression is studied by applying a rapid forcing on the oscillator. Analytical treatment based on perturbation analysis is performed to capture the entrainment zone