New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states

Zhong Kui Sun, Wei Xu, Xiao Li Yang

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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-Lyapunov 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.

Original languageEnglish
Pages (from-to)3226-3230
Number of pages5
JournalChinese Physics
Volume16
Issue number11
DOIs
StatePublished - 1 Nov 2007

Keywords

  • Anticipating synchronization
  • Chaotic systems
  • Long-term predictability

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