Chaotic synchronization of a fractional-order system based on washout filter control |
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Affiliation: | 1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, China;2. Department of Architecture and Civil Engineering, City University of Hong Kong, China;3. School of Aerospace, Xi’an Jiaotong Univerisy, Xi’an, China |
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Abstract: | In this paper, chaos in a fractional-order neural network system with varying time delays is presented, and chaotic synchronization system with varying time delays is constructed. The stability of constructed synchronization system is analyzed by Laplace transformation theory. In addition, the bifurcation graph of the chaotic system is illustrated. The study results show that the chaos in such fractional-order neural networks with varying time delay can be synchronized, and Washout filter control can be used to reduce the range of coupled parameter. |
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