Bistability in Coupled Oscillators Exhibiting Synchronized Dynamics

We report some new results associated with the synchronization behavior of two coupled double-well Duffing oscillators （DDOs）. Some sufficient algebraic criteria for global chaos synchronization of the drive and response DDOs via linear state error feedback control are obtained by means of Lyapunov...

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Bibliographic Details
Published in:Communications in theoretical physics 2010-05, Vol.53 (5), p.815-824
Main Authors: Olusola, O. I, Vincent, U. E, Njah, A. N, Olowofela, J. A
Format: Article
Language:English
Subjects:
DDoS
Hopf分岔
双稳态
反馈控制
李雅普诺夫稳定性理论
混沌同步
混沌吸引子
耦合振荡器
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Summary:We report some new results associated with the synchronization behavior of two coupled double-well Duffing oscillators （DDOs）. Some sufficient algebraic criteria for global chaos synchronization of the drive and response DDOs via linear state error feedback control are obtained by means of Lyapunov stability theory. The synchronization is achieved through a bistable state in which a periodic attractor co-exists with a chaotic attractor. Using the linear perturbation analysis, the prevalence of attractors in parameter space and the associated bifurcations are examined. Subcritical and supercritical Hopf bifurcations and abundance of Arnold tongues -- a signature of mode locking phenomenon are found.
ISSN:0253-6102
DOI:10.1088/0253-6102/53/5/06