Stability and bifurcation analysis of delay coupled Van der Pol–Duffing oscillators
✍ Scribed by Zang, Hong; Zhang, Tonghua; Zhang, Yanduo
- Book ID
- 121404314
- Publisher
- Springer Netherlands
- Year
- 2013
- Tongue
- English
- Weight
- 579 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0924-090X
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This paper considers the general synchronization dynamics of coupled Van der Pol-Duffing oscillators. The linear and nonlinear stability analysis on the synchronization process is derived through the Whittaker method and the Floquet theory in addition to the multiple time scales method. A stability
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