General synchronization dynamics of coupled Van der Pol–Duffing oscillators
✍ Scribed by H.G. Enjieu Kadji; R. Yamapi
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 484 KB
- Volume
- 370
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
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 map displaying different dynamical states of the system is performed. Numerical simulation is carried out to support and to complement the accuracy of the analytical treatment.
📜 SIMILAR VOLUMES
In this work we study a system of three van der Pol oscillators. Two of the oscillators are identical, and are not directly coupled to each other, but rather are coupled via the third oscillator. We investigate the existence of the in-phase mode in which the two identical oscillators have the same b
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