Open AccessParameter estimate from coupled map lattices based on symbolic vector dynamics
Author(s) -
Kai Wang,
Wei Pei,
Yifeng Zhang,
Siyuan Zhou,
Shuo Shao
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.070502
Subject(s) - symbolic dynamics , computer science , dynamics (music) , statistical physics , coupled map lattice , algorithm , physics , pure mathematics , mathematics , artificial intelligence , control theory (sociology) , control (management) , synchronization of chaos , acoustics
Symbolic dynamics, which partitions the infinite number of finite length trajectories into a finite number of trajectory sets, allows a simplified and "coarse-grained" description of the dynamics of a system with a limited number of symbols. In this paper, we further develop the symbolic vector dynamical estimation method in coupled map lattice (CML). We take the CML of Logistic map as an example, to show that the control parameters affect the dynamical characters of symbolic vector sequence. We study the ergodic property of CML by using the inverse function of CML. We give the symbolic vector dynamical description of the initial values, the forbidden words and the control parameters for studying pattern formation in CML. We also give a coupling coefficient estimation approach based on the ergodic property.