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Complete synchronization of double-delayed R?ssler systems with uncertain parameters |
| Sang Jin-Yu(桑金玉)a), Yang Ji(杨吉)b), and Yue Li-Juan(岳立娟)a)† |
| a School of Physics, Northeast Normal University, Changchun 130024, China; b Department of Basic Course, Aviation University of Airforce, Changchun 130022, China |
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Abstract In this paper, we investigate complete synchronization of double-delayed R?ssler systems with uncertain parameters as the master system is in chaotic synchronization. The uncertain parameters can be nonlinearly expressed in the system. The analysis and proof are given by means of the Lyapunov stability theorem. Based on theoretical analysis, some sufficient conditions of complete synchronization are proved. In order to validate the proposed scheme, numerical simulations are performed and the numerical results show that our scheme is very effective.
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Received: 25 January 2011
Revised: 16 March 2011
Accepted manuscript online:
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PACS:
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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. 10847110). |
Cite this article:
Sang Jin-Yu(桑金玉), Yang Ji(杨吉), and Yue Li-Juan(岳立娟) Complete synchronization of double-delayed R?ssler systems with uncertain parameters 2011 Chin. Phys. B 20 080507
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