Open AccessA new method of synchronization between two different chaotic systems
Author(s) -
Shuang Li,
Wei Xu,
Ruihong Li,
Yupeng Li
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.5681
Subject(s) - computer science , chen , synchronization (alternating current) , lyapunov stability , controller (irrigation) , control theory (sociology) , chaotic systems , lorenz system , chaotic , synchronization of chaos , stability (learning theory) , control (management) , artificial intelligence , computer network , paleontology , channel (broadcasting) , machine learning , agronomy , biology
Based on Lyapunov stability theory, a new method combining feedback control and adaptive control is proposed for the synchronization between two different chaotic systems. This method can be applied to solve synchronization problems of several classes of chaotic systems, e.g., Lorenz system, Chen system, Lü system, Liu system, and R?ssler system. It offers a general way of choice for the controller, and furthermore, for some concrete systems the controller can be simplified. Numerical simulation results are presented to demonstrate the effectiveness of the proposed method.