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Quasi-synchronization dynamics of coupled and driven plasma oscillators

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  • Vincent, U.E.
  • Kareem, S.O.
  • Nana Nbendjo, B.R.
  • Njah, A.N.

Abstract

The dynamics of two coupled and periodically driven plasma oscillators is investigated in this paper. It is shown that the two oscillators exhibit rich dynamical transition to quasi-synchronized state. Stability and sufficient criteria for synchronization are analytically obtained using linear matrix inequality (LMI) and the Routh–Hurwitz criterion; and qualitatively characterized by the system’s interaction energies. Moreover, the transition dynamics is rich with abundant complex bifurcation structures, including Hopf bifurcations. Based on the method of multiple time-scale, steady state equations for the vibration of the coupled oscillators have also been obtained, and bi-resonance induced by coupling at distinct frequencies are reported.

Suggested Citation

  • Vincent, U.E. & Kareem, S.O. & Nana Nbendjo, B.R. & Njah, A.N., 2015. "Quasi-synchronization dynamics of coupled and driven plasma oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 85-94.
    • Handle: RePEc:eee:chsofr:v:70:y:2015:i:c:p:85-94
    DOI: 10.1016/j.chaos.2014.11.005
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    1. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
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    Cited by:

    1. Zhu, Ruiyuan & Guo, Yingxin & Wang, Fei, 2020. "Quasi-synchronization of heterogeneous neural networks with distributed and proportional delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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