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Complex Modified Projective Synchronization for Fractional-order Chaotic Complex Systems

Complex Modified Projective Synchronization for Fractional-order Chaotic Complex Systems
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摘要 The aim of this paper is to study complex modified projective synchronization(CMPS) between fractional-order chaotic nonlinear systems with incommensurate orders. Based on the stability theory of incommensurate fractional-order systems and active control method, control laws are derived to achieve CMPS in three situations including fractional-order complex Lorenz system driving fractional-order complex Chen system, fractional-order real Rssler system driving fractional-order complex Chen system, and fractionalorder complex Lorenz system driving fractional-order real Lü system. Numerical simulations confirm the validity and feasibility of the analytical method. The aim of this paper is to study complex modified projective synchronization(CMPS) between fractional-order chaotic nonlinear systems with incommensurate orders. Based on the stability theory of incommensurate fractional-order systems and active control method, control laws are derived to achieve CMPS in three situations including fractional-order complex Lorenz system driving fractional-order complex Chen system, fractional-order real Rssler system driving fractional-order complex Chen system, and fractionalorder complex Lorenz system driving fractional-order real Lü system. Numerical simulations confirm the validity and feasibility of the analytical method.
出处 《International Journal of Automation and computing》 EI CSCD 2018年第5期603-615,共13页 国际自动化与计算杂志(英文版)
基金 supported by Key Program of National Natural Science Foundation of China (No. 61533011) National Natural Science Foundation of China (Nos. 61273088 and 61603203)
关键词 Fractional-order system chaotic complex system incommensurate order complex modified projective synchronization(CMPS) active control. Fractional-order system chaotic complex system incommensurate order complex modified projective synchronization(CMPS) active control.
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