摘要Chaos synchronization of two different chaotic systems with known and unknown parameters is studied. Based on the Lyapunov stability theory, two different chaotic systems with known parameters realize global synchronization via the successfully designed nonlinear controller. By employing an adaptive synchronization scheme, the synchronization of two different chaotic systems with unknown parameters is achieved. Numerical simulations validate the effectiveness of the theoretical analysis.
Abstract：Chaos synchronization of two different chaotic systems with known and unknown parameters is studied. Based on the Lyapunov stability theory, two different chaotic systems with known parameters realize global synchronization via the successfully designed nonlinear controller. By employing an adaptive synchronization scheme, the synchronization of two different chaotic systems with unknown parameters is achieved. Numerical simulations validate the effectiveness of the theoretical analysis.
GUAN Jun-Biao. Synchronization Control of Two Different Chaotic Systems with Known and Unknown Parameters[J]. 中国物理快报, 2010, 27(2): 20502-020502.
GUAN Jun-Biao. Synchronization Control of Two Different Chaotic Systems with Known and Unknown Parameters. Chin. Phys. Lett., 2010, 27(2): 20502-020502.
[1] Yang L, Zhang X, Wang A, Guo D and Wang Y 2008 Chin. Phys. Lett. 25 3883 [2] Ma J, Wang Q, Jin W and Xia Y 2008 Chin. Phys. Lett. 25 3582 [3] Pyragas K 1992 Phys. Lett. A 170 421 [4] Xiao J and Yi Y 2007 Chaos, Solitons {\rm\& Fractals 33 908 [5] Wu X, Guan Z, Wu Z and Li T 2007 Phys. Lett. A 364 484 [6] Kilic R, Alci M and G\"{unay E 2004 Int. J. Bifur. Chaos 9 3277 [7] Chen H, Sheu G, Lin Y and Chen C 2009 Nonl. Anal. 70 4393 [8] Li G 2007 Chaos, Solitons {\rm\& Fractals 32 1454 [9] Sun X and Lu Q 2009 Chin. Phys. Lett. 26 060507 [10] Liu C, Liu T, Liu L and Liu K 2004 Chaos Solitons {\rm\& Fractals 22 1031 [11] Liu C 2009 Chaos Solitons {\rm\& Fractals 39 1037 [12] Li J 2008 Chin. Phys. Lett. 25 413
2010, Vol. 27 
