Quasi-synchronization dynamics of coupled and driven plasma oscillators

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

Chaos, Solitons & Fractals, 2015, vol. 70, issue C, 85-94

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:70:y:2015:i:c:p:85-94

DOI: 10.1016/j.chaos.2014.11.005

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