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Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators

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  • Dawid Dudkowski
  • Patrycja Kuzma
  • Tomasz Kapitaniak

Abstract

We consider the system of externally excited identical van der Pol-Duffing oscillators unidirectionally coupled in a ring. When the coupling is introduced, each of the oscillator’s trajectories is on different attractor. We study the changes in the dynamics due to the increase in the coupling coefficient. Studying the phase of the oscillators, we calculate the parameter value for which we obtain the antiphase lag synchronization of the system and also the bifurcation values for which we observe qualitative changes in the dynamics of already synchronized system. We give evidence that lag synchronization is typical for coupled multistable systems.

Suggested Citation

  • Dawid Dudkowski & Patrycja Kuzma & Tomasz Kapitaniak, 2014. "Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnddns:650473
    DOI: 10.1155/2014/650473
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