Title :
Synchronization of the Fractional-Order Hyperchaotic Lorenz System
Author :
Jiang, Weibo ; Ma, Tiedong
Author_Institution :
Coll. of Autom., Chongqing Univ., Chongqing, China
Abstract :
In this paper, the synchronization of fractional-order hyperchaotic Lorenz system is investigated. Based on a time-domain method and the Lyapunov stability theory, the synchronization problem of the fractional-order system can be converted into an equivalent problem of stabilizing the integer-order system. Numerical simulations are used to illustrate the effectiveness of the proposed synchronization method.
Keywords :
Lyapunov methods; differentiation; nonlinear control systems; stability; synchronisation; time-domain analysis; Lyapunov stability theory; fractional differential calculus; fractional-order system; hyperchaotic Lorenz system; integer-order system; numerical simulations; synchronization method; time-domain method; Chaos; Couplings; Educational institutions; Feedback control; Lyapunov methods; Numerical simulation; Synchronization; chaos; fractional-order hyperchaotic Lorenz system; one-way coupling method; synchronization;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2011 Fourth International Workshop on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1798-7
DOI :
10.1109/IWCFTA.2011.39
