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Synchronization dynamics in a ring of four mutually inertia coupled self-sustained electrical systems

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  • Yamapi, René

Abstract

We investigate in this paper different dynamical states of synchronization which appeared in a ring of four mutually inertia coupled self-sustained electrical systems described by coupled Rayleigh–Duffing equations. We present stability properties of periodic solutions and transition boundaries between different dynamical states using the Floquet theory. Numerical simulations are used to complement the results of the analytical study.

Suggested Citation

  • Yamapi, René, 2006. "Synchronization dynamics in a ring of four mutually inertia coupled self-sustained electrical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 187-196.
    • Handle: RePEc:eee:phsmap:v:366:y:2006:i:c:p:187-196
    DOI: 10.1016/j.physa.2005.11.001
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    Cited by:

    1. Siewe, M. Siewe & Cao, Hongjun & Sanjuán, Miguel A.F., 2009. "Effect of nonlinear dissipation on the basin boundaries of a driven two-well Rayleigh–Duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1092-1099.

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