期刊
CHAOS
卷 22, 期 2, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4721996
关键词
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资金
- scientific research foundation of National Natural Science Foundation [51109180]
- Personnel Special Fund of North West AF University [RCZX-2009-01]
In this paper, we focus on the synchronization between integer-order chaotic systems and a class of fractional-order chaotic system using the stability theory of fractional-order systems. A new sliding mode method is proposed to accomplish this end for different initial conditions and number of dimensions. More importantly, the vector controller is one-dimensional less than the system. Furthermore, three examples are presented to illustrate the effectiveness of the proposed scheme, which are the synchronization between a fractional-order Chen chaotic system and an integer-order T chaotic system, the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order hyperchaotic system, and the synchronization between a fractional-order hyperchaotic system based on Chen's system and an integer-order Lorenz chaotic system. Finally, numerical results are presented and are in agreement with theoretical analysis. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4721996]
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