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General synchronization dynamics of coupled Van der Pol–Duffing oscillators

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  • Enjieu Kadji, H.G.
  • Yamapi, R.

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.

Suggested Citation

  • Enjieu Kadji, H.G. & Yamapi, R., 2006. "General synchronization dynamics of coupled Van der Pol–Duffing oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 316-328.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:2:p:316-328
    DOI: 10.1016/j.physa.2006.03.013
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    Cited by:

    1. Yonkeu, R. Mbakob, 2023. "Stochastic bifurcations induced by Lévy noise in a fractional trirhythmic van der Pol system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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