Forced synchronization of coupled oscillators

Abstract

We consider a system of coupled two oscillators with external force. At rst we introduce the symmetrical property of the system. When the external force is not applied, the two oscillators are synchronized at the opposite phase. We obtain a bifurcation diagram of periodic solutions in the coupled system when the single oscillator has a stable anti-phase solution. We nd that the synchronized oscillations eventually become inphase when the amplitude of the external force is increased. key words: Coupled Oscillator, Bifurcation, Symmetry

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Cite this paper

@inproceedings{Kitajima1997ForcedSO, title={Forced synchronization of coupled oscillators}, author={Hiroyuki Kitajima and Yasushi NOUMI and Takuji Kousaka and Hiroshi Kawakami}, year={1997} }