Adaptive Function Projective Synchronization of Discrete-Time Chaotic Systems
LI Yin1, LI Biao1, CHEN Yong 1,2
1Department of Mathematics and Nonlinear Science Center, Ningbo University, Ningbo 3152112Institute of Theoretical Computing, East China Normal University, Shanghai 200062
Adaptive Function Projective Synchronization of Discrete-Time Chaotic Systems
LI Yin1, LI Biao1, CHEN Yong 1,2
1Department of Mathematics and Nonlinear Science Center, Ningbo University, Ningbo 3152112Institute of Theoretical Computing, East China Normal University, Shanghai 200062
摘要By backstepping control law and the active control method, adaptive function projective synchronization of 2D and 3D discrete-time chaotic systems with uncertain parameters are investigated. To illustrate the effectiveness of the new scheme, some numerical examples are given.
Abstract:By backstepping control law and the active control method, adaptive function projective synchronization of 2D and 3D discrete-time chaotic systems with uncertain parameters are investigated. To illustrate the effectiveness of the new scheme, some numerical examples are given.
[1] Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821 [2] Park J H 2005 Int. J. Nonli. Sci. Numer. Simul. 6 201 [3] Bai E W and Lonngren K E 2000 Cha. Soli. Frac. 11 1041 [4] Park J H and Kwon OM 2005 Cha. Soli. Frac. 23 445 [5] Wu X and Lu J 2003 Cha. Soli. Frac. 18 721 [6]Chen G and Dong X 1998 From Chaos to Order(Singapore: World Scientific) chap 1 p 10 [7]Yan Z Y 2005 Phys. Lett. A 342 309 [8]Kanellakopoulos I and Kokotovic P V 1991 IEEE Trans.Autom. Control. 36 1241 [9]Wang C and Ge S S 2001 Int. J. Bifur. Chaos Appl.Sci. Eng. 11 1115 [10]Ren H P and Liu D 2002 Chin. Phys. Let. 191054 [11] Chen Y and Li X 2007 Z. Naturfor. 62a 22 [12] Hitzl DL and Zele F 1985 Physi. D 14 305 [13]Feng C F, Zhang Y and Wang Y H 2006 Chin. Phys.Lett. 23 1418 [14]Li G H 2007 Chaos, Solitons {\rm \& Fractals 32 1786 [15]L\"u J H, Han F L, Yu X H and Chen G R 2004 Automatics 40 1677 [16]L\"u J H and Chen G R 2006 Int. J. Bifur. Chaos. 16 775