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Synchronization of self-excited oscillators suspended on elastic structure

Author

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  • Czołczynski, K.
  • Perlikowski, P.
  • Stefański, A.
  • Kapitaniak, T.

Abstract

We consider the dynamics of self-excited oscillators suspended on the elastic structure. We show that for the given conditions of the structure, initially uncorrelated oscillations of each oscillator can synchronize, i.e., all oscillators evolve periodically with the frequency of the oscillations of elastic structure. Basing on the theory of linear oscillations we introduced the mechanism responsible for the observed synchronization. We argue that the observed phenomena are generic in the parameter space and independent of the number of oscillators and their location on the elastic structure.

Suggested Citation

  • Czołczynski, K. & Perlikowski, P. & Stefański, A. & Kapitaniak, T., 2007. "Synchronization of self-excited oscillators suspended on elastic structure," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 937-943.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:937-943
    DOI: 10.1016/j.chaos.2006.07.022
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    Cited by:

    1. Wang, Jiang & Che, Yan-Qiu & Zhou, Si-Si & Deng, Bin, 2009. "Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1335-1345.
    2. Ji, J.C. & Zhang, N., 2009. "Nonlinear response of a forced van der Pol–Duffing oscillator at non-resonant bifurcations of codimension two," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1467-1475.

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