Estimation of chaotic coupled map lattices using symbolic vector dynamics

Kai Wang*, Wenjiang Pei, Yiu Ming CHEUNG, Yi Shen, Zhenya He

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In [K. Wang, W.J. Pei, Z.Y. He, Y.M. Cheung, Phys. Lett. A 367 (2007) 316], an original symbolic vector dynamics based method has been proposed for initial condition estimation in additive white Gaussian noisy environment. The estimation precision of this estimation method is determined by symbolic errors of the symbolic vector sequence gotten by symbolizing the received signal. This Letter further develops the symbolic vector dynamical estimation method. We correct symbolic errors with backward vector and the estimated values by using different symbols, and thus the estimation precision can be improved. Both theoretical and experimental results show that this algorithm enables us to recover initial condition of coupled map lattice exactly in both noisy and noise free cases. Therefore, we provide novel analytical techniques for understanding turbulences in coupled map lattice.

Original languageEnglish
Pages (from-to)562-566
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume374
Issue number4
DOIs
Publication statusPublished - 11 Jan 2010

Scopus Subject Areas

  • Physics and Astronomy(all)

User-Defined Keywords

  • Coupled map lattice
  • Initial condition estimation
  • Signal processing
  • Symbolic vector dynamics

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