New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states
Sun Zhong-Kui(孙中奎)a)†, Xu Wei (徐伟)a), and Yang Xiao-Li(杨晓丽)a)b)
a Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China; b College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
Abstract How to predict the dynamics of nonlinear chaotic systems is still a challenging subject with important real-life applications. The present paper deals with this important yet difficult problem via a new scheme of anticipating synchronization. A global, robust, analytical and delay-independent sufficient condition is obtained to guarantee the existence of anticipating synchronization manifold theoretically in the framework of the Krasovskii– yapunov theory. Different from ‘traditional techniques (or regimes)’ proposed in the previous literature, the present scheme guarantees that the receiver system can synchronize with the future state of a transmitter system for an arbitrarily long anticipation time, which allows one to predict the dynamics of chaotic transmitter at any point of time if necessary. Also it is simple to implement in practice. A classical chaotic system is employed to demonstrate the application of the proposed scheme to the long-term prediction of chaotic states.
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10472091 and
10502042) and the Scientific and Technological Innovation Foundation
for Young Teachers of Northwestern Polytechnical University, China.
Cite this article:
Sun Zhong-Kui(孙中奎), Xu Wei (徐伟), and Yang Xiao-Li(杨晓丽) New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states 2007 Chinese Physics 16 3226
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