A New Scheme to Projective Synchronization of Fractional-Order Chaotic Systems
WANG Jun-Wei1**, CHEN Ai-Min2,3
1School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006 2Institute of Applied Mathematics, Henan University, Kaifeng 475004 3School of Mathematics and Information Science, Henan University, Kaifeng 475004
A New Scheme to Projective Synchronization of Fractional-Order Chaotic Systems
WANG Jun-Wei1**, CHEN Ai-Min2,3
1School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006 2Institute of Applied Mathematics, Henan University, Kaifeng 475004 3School of Mathematics and Information Science, Henan University, Kaifeng 475004
摘要We demonstrate that the projective synchronization can be observed in coupled fractional-order chaotic systems. A new systematic and powerful coupling scheme is developed to investigate the projective synchronization via the open-plus-closed-loop control, which allows us to arbitrarily manipulate the scaling factor of projective synchronization. The proposed scheme is proved analytically on the basis of the stability theorem of the fractional differential equations. Numerical simulations on the fraction-order chaotic Chen system are presented to justify the theoretical analysis.
Abstract：We demonstrate that the projective synchronization can be observed in coupled fractional-order chaotic systems. A new systematic and powerful coupling scheme is developed to investigate the projective synchronization via the open-plus-closed-loop control, which allows us to arbitrarily manipulate the scaling factor of projective synchronization. The proposed scheme is proved analytically on the basis of the stability theorem of the fractional differential equations. Numerical simulations on the fraction-order chaotic Chen system are presented to justify the theoretical analysis.
WANG Jun-Wei**;CHEN Ai-Min;
. A New Scheme to Projective Synchronization of Fractional-Order Chaotic Systems[J]. 中国物理快报, 2010, 27(11): 110501-110501.
WANG Jun-Wei**, CHEN Ai-Min,
. A New Scheme to Projective Synchronization of Fractional-Order Chaotic Systems. Chin. Phys. Lett., 2010, 27(11): 110501-110501.
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