Parameter identification and synchronization of spatiotemporal chaos in an uncertain Gray-Scott system |
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Authors: | Ling Lü Yi Li and ZhiAn Guo |
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Institution: | (1) College of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, China;(2) Department of Mathematics and Physics, Dalian Jiaotong University, Dalian, 116028, China |
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Abstract: | The zero-asymptotic property of sliding variables in discrete systems is extended to a continuous one and applied to partial
differential equations which describe spatiotemporal chaos. A method of chaos synchronization and parameter identification
is proposed. The synchronization controllers and the parameter recognizers are designed. The uncertain Gray-Scott system is
taken as an example to verify the effectiveness of the method. Simulation results show that the identification variables in
the parameter recognizers may take the place of the unknown parameters in both target and response systems. Global synchronization
of the two spatiotemporal chaotic systems with uncertain parameters may be realized quickly after controllers are added.
Supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20052151) and the Innovative Team Program
of Liaoning Educational Committee |
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Keywords: | spatiotemporal chaos sliding variable parameter identification synchronization uncertain Gray-Scott system |
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