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Synchronization dynamics of coupled van der Pol systems

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  • Leung, H.K.

Abstract

We investigate the dynamic processes of synchronizing chaotic van der Pol systems driven by periodic force. For a given set of rate parameters, a driven oscillator could possess two types of chaotic attractor. Different initial condition results in the appearance of two trajectories which have inversion symmetry with respect to each other. Attraction basins of these two degenerate attractors are derived numerically. Possibilities of synchronizing same and different chaotic trajectories are probed. We investigate carefully the transient processes preceding to synchronization. With appropriate criterion, we define and obtain the synchronization domain in the coupling parameter space.

Suggested Citation

  • Leung, H.K., 2003. "Synchronization dynamics of coupled van der Pol systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 248-255.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:248-255
    DOI: 10.1016/S0378-4371(02)01797-1
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    Cited by:

    1. Beregov, R.Y. & Melkikh, A.V., 2015. "De-synchronization and chaos in two inductively coupled Van der Pol auto-generators," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 17-28.

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