Symbolic vector dynamics approach to initial condition and control parameters estimation of coupled map lattices

Kai Wang*, Wen Jiang Pei, Shao Ping Wang, Yiu Ming CHEUNG, Zhen Ya He

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

In this paper, we extend symbolic dynamics, a standard analytical method for 1-D chaotic map, and initiate a solution to the problem of estimation in coupled map lattices (CMLs) by introducing the symbolic vector dynamics. We develop a novel technique for estimating initial conditions. We also expand the applicable scope of a word-lifting technique for parameter estimation from a 1-D chaotic map to CMLs. Both theoretical and experimental results show that those algorithms can construct one-to-one correspondence between the set of global orbits and the set of admissible codes. Therefore, we provide novel analytical techniques for understanding turbulences in CMLs.

Original languageEnglish
Pages (from-to)1116-1124
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume55
Issue number4
DOIs
Publication statusPublished - May 2008

Scopus Subject Areas

  • Electrical and Electronic Engineering

User-Defined Keywords

  • Coupled mode analysis
  • Estimation
  • Nonlinear systems
  • Signal processing
  • Symbols

Fingerprint

Dive into the research topics of 'Symbolic vector dynamics approach to initial condition and control parameters estimation of coupled map lattices'. Together they form a unique fingerprint.

Cite this