Open AccessAnti-synchronism of the bidirectional coupled chaotic system
Author(s) -
Fucai Liu,
Zang Xiu-Feng,
Song Jia-Qiu
Publication year - 2009
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.58.3765
Subject(s) - synchronism , chen , synchronization (alternating current) , control theory (sociology) , coupling (piping) , chaotic , computer science , synchronization of chaos , coupling coefficient of resonators , controller (irrigation) , lyapunov exponent , lyapunov function , mathematics , physics , control (management) , nonlinear system , telecommunications , channel (broadcasting) , asynchronous communication , artificial intelligence , optics , engineering , biology , paleontology , resonator , quantum mechanics , agronomy , mechanical engineering
For two linearly bidirectional coupled unified chaotic systemsbased on adaptive control technique, the anti-synchronization is completely realised. The adaptive-controller and the coupling coefficient are both estimated by the Lyapunov stable theorem and the minimum value theorem. This method can realise anti-synchronization, not requiring to know the scope of the coupling coefficient and the maximum value of the coupling chaotic systems. We apply this criterion to the case of the coupled Chen-Chen system to test our methodthe numerical simulations illustrate that this method has a good performance.