Open AccessA new approach to synchronization between two different chaotic systems with parametric perturbation
Author(s) -
Min Hyun Han,
Niu Zhi-Qiang,
Bing Han
Publication year - 2008
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.57.6824
Subject(s) - parametric statistics , synchronization of chaos , chaotic systems , perturbation (astronomy) , chaotic , control theory (sociology) , synchronization (alternating current) , lyapunov stability , computer science , norm (philosophy) , mathematics , physics , control (management) , law , computer network , channel (broadcasting) , statistics , quantum mechanics , artificial intelligence , political science
The problem of chaotic synchronization between two different chaotic systems with parametric perturbation is studied. Based on Lyapunov stability law and norm theorya sufficient condition to synchronize two different chaotic systems with parametric perturbation is given and a general way of choosing the controller is proposed. This method can realize the synchronization of two chaotic systems with parametric perturbation if the dimensions of the chaotic systems are equal and the state variables are measurable. And it is required that the control must decay to zero together with the errors as soon as the synchronization is reached. The proposed method is robust and can be used widely. Numerical simulations of synchronization between two chaotic systemsand synchronization between two hyperchaotic systems are provided to show the effectiveness and feasibility of the method.