In this paper, we study the dynamical behaviors of the following van der Pol oscillator with delay In the case that its associated characteristic equation has a simple zero root and a pair of purely imaginary roots (zero-Hopf singularity), the normal form is obtained by performing a center manifold
Hopf bifurcation in a van der Pol type oscillator with magnetic hysteresis
β Scribed by B. Appelbe; D. Rachinskii; A. Zhezherun
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 192 KB
- Volume
- 403
- Category
- Article
- ISSN
- 0921-4526
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π SIMILAR VOLUMES
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
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
A generalized van der Pol oscillator with parametric excitation is studied for its bifurcation. On the basis of the MLP method, we enable a strongly nonlinear system to be transformed into a small parameter system. The bifurcation response equation of a 1/2 subharmonic resonance system is determined