TY - JOUR
T1 - Synchronization of two different chaotic systems with unknown parameters
AU - Li, Shuang
AU - Xu, Wei
AU - Li, Ruihong
PY - 2007/1/22
Y1 - 2007/1/22
N2 - In this Letter, a general method is proposed for the synchronization between two different chaotic systems with unknown parameters. This approach is based on the invariance principle of differential equations, and employs a combination of feedback control and adaptive control. With this method one can achieve synchronization between almost all chaotic systems, e.g., Lorenz system, Chen system, Liu system, Rössler system, Chua's system, etc. Although the models used in the research are the systems with unknown parameters, the method is also applicable to the systems with known parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.
AB - In this Letter, a general method is proposed for the synchronization between two different chaotic systems with unknown parameters. This approach is based on the invariance principle of differential equations, and employs a combination of feedback control and adaptive control. With this method one can achieve synchronization between almost all chaotic systems, e.g., Lorenz system, Chen system, Liu system, Rössler system, Chua's system, etc. Although the models used in the research are the systems with unknown parameters, the method is also applicable to the systems with known parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.
KW - Adaptive control
KW - Different chaotic systems
KW - Feedback control
KW - Synchronization
UR - https://www.scopus.com/pages/publications/33751426388
U2 - 10.1016/j.physleta.2006.09.068
DO - 10.1016/j.physleta.2006.09.068
M3 - 文章
AN - SCOPUS:33751426388
SN - 0375-9601
VL - 361
SP - 98
EP - 102
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1-2
ER -