Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable  

作　　者：王兴元 张永雷 

机构地区：[1]Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology

出　　处：《Chinese Physics B》2011年第10期159-165,共7页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 60573172 and 60973152);the Superior University Doctor Subject Special Scientific Research Foundation of China (Grant No. 20070141014);the Natural Science Foundation of Liaoning Province, China (Grant No. 20082165)

摘　　要：In this paper, the modified projective synchronization （MPS） of a fractional-order hyperchaotic system is inves- tigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme.In this paper, the modified projective synchronization （MPS） of a fractional-order hyperchaotic system is inves- tigated. We design the response system corresponding to the drive system on the basis of projective synchronization theory, and determine the sufficient condition for the synchronization of the drive system and the response system based on fractional-order stability theory. The MPS of a fractional-order hyperchaotic system is achieved by transmitting a single variable. This scheme reduces the information transmission in order to achieve the synchronization, and extends the applicable scope of MPS. Numerical simulations further demonstrate the feasibility and the effectiveness of the proposed scheme.

关 键 词：modified projective synchronization fractional-order hyperchaotic system single drivingvariable 

分 类 号：O415.5[理学—理论物理] TN911.6[理学—物理]