General synchronization dynamics of coupled Van der Pol–Duffing oscillators

H.G. Enjieu Kadji and R. Yamapi

Physica A: Statistical Mechanics and its Applications, 2006, vol. 370, issue 2, 316-328

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 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:370:y:2006:i:2:p:316-328

DOI: 10.1016/j.physa.2006.03.013

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