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
Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback
โ Scribed by Li Zhang; HuaiLei Wang; HaiYan Hu
- Book ID
- 107356566
- Publisher
- SP Science China Press
- Year
- 2010
- Tongue
- English
- Weight
- 898 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1006-9321
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๐ 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
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