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General synchronization dynamics of coupled Van der Pol–Duffing oscillators |
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| Authors: | HG Enjieu Kadji R Yamapi |
| Institution: | aLaboratory of Nonlinear Modelling and Simulation in Engineering and Biological Physics, Faculty of Sciences, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon bDepartment of Physics, Faculty of Sciences, University of Douala, P.O. Box 24157, Douala, Cameroon |
| Abstract: | 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. |
| Keywords: | Synchronization dynamics Linear and nonlinear stability Self-excited systems |
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