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Generalized projective synchronization between two chaotic gyros with nonlinear damping |
| Min Fu-Hong(闵富红)† |
| Department of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China |
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Abstract In this paper, the chaotic generalized projective synchronization of a controlled, noised gyro with an expected gyro is investigated by a simple control law. Based on the theory of discontinuous dynamical systems, the necessary and sufficient conditions for such a synchronization are achieved. From such conditions, non-synchronization, partial and full synchronizations between the two coupled gyros are discussed. The switching scenarios between desynchronized and synchronized states of the two dynamical systems are shown. Numerical simulations are illustrated to verify the effectiveness of this method.
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Received: 13 June 2011
Revised: 15 June 2011
Accepted manuscript online:
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PACS:
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05.45.Ac
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(Low-dimensional chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 51075275) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 08kJB510006). |
Cite this article:
Min Fu-Hong(闵富红) Generalized projective synchronization between two chaotic gyros with nonlinear damping 2011 Chin. Phys. B 20 100503
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