Open AccessChaos switch-synchronization for a class of 4-D chaotic systems
Author(s) -
Liu Yang-zheng,
Changsheng Jiang,
Lin Chang-Sheng
Publication year - 2007
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.56.707
Subject(s) - synchronization of chaos , attractor , lyapunov exponent , synchronization (alternating current) , chaotic , nonlinear system , control theory (sociology) , class (philosophy) , computer science , lorenz system , control of chaos , chaos (operating system) , lyapunov stability , multistability , topology (electrical circuits) , physics , control (management) , mathematics , mathematical analysis , quantum mechanics , artificial intelligence , computer security , combinatorics
A class of switchable four-dimensional chaotic systems is built by adding an additional state to the three-order Lorenz system or Liu system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the chaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the class of switchable four-dimensional chaos systems. A method of chaos switch-synchronization between several chaotic systems based on nonlinear feedback control is proposed. Based on the stability theory, the functions of the nonlinear feedback control for synchronization of these systems are determined and the range of available feedback gain is derived.