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De-synchronization and chaos in two inductively coupled Van der Pol auto-generators

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  • Beregov, R.Y.
  • Melkikh, A.V.

Abstract

In this article, we consider a system of autonomous inductively coupled Van der Pol generators. For two coupled generators, we establish the presence of metastable chaos, a strange non-chaotic attractor, and several stable limiting cycles. Areas of parametric dependence of different modes of synchronization are obtained.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:73:y:2015:i:c:p:17-28
    DOI: 10.1016/j.chaos.2014.12.017
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    References listed on IDEAS

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    1. Kimiaeifar, A. & Saidi, A.R. & Bagheri, G.H. & Rahimpour, M. & Domairry, D.G., 2009. "Analytical solution for Van der Pol–Duffing oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2660-2666.
    2. 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.
    3. Tal Danino & Octavio Mondragón-Palomino & Lev Tsimring & Jeff Hasty, 2010. "A synchronized quorum of genetic clocks," Nature, Nature, vol. 463(7279), pages 326-330, January.
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