Analysis of convergence for initial condition estimation of coupled map lattices based on symbolic dynamics

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • Li-Sha Sun
  • Xiao Yun Kang
  • Lan-Xin Lin

Related Research Unit(s)

Detail(s)

Original languageEnglish
Article number110507
Journal / PublicationChinese Physics B
Volume19
Issue number11
Publication statusPublished - Nov 2010

Abstract

A novel approach to the inverse problem of diffusively coupled map lattices is systematically investigated by utilizing the symbolic vector dynamics. The relationship between the performance of initial condition estimation and the structural feature of dynamical system is proved theoretically. It is found that any point in a spatiotemporal coupled system is not necessary to converge to its initial value with respect to sufficient backward iteration, which is directly relevant to the coupling strength and local mapping function. When the convergence is met, the error bound in estimating the initial condition is proposed in a noiseless environment, which is determined by the dimension of attractors and metric entropy of the system. Simulation results further confirm the theoretic analysis, and prove that the presented method provides the important theory and experimental results for better analysing and characterizing the spatiotemporal complex behaviours in an actual system. © 2010 Chinese Physical Society and IOP Publishing Ltd.

Research Area(s)

  • Convergence, Coupled map lattices, Initial condition estimation, Symbolic dynamics

Citation Format(s)

Analysis of convergence for initial condition estimation of coupled map lattices based on symbolic dynamics. / Sun, Li-Sha; Kang, Xiao Yun; Lin, Lan-Xin.
In: Chinese Physics B, Vol. 19, No. 11, 110507, 11.2010.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review