Open AccessInitial condition estimation from coupled map lattices based on symbolic vector dynamics
Author(s) -
Kai Wang,
Wei Pei,
Haishan Xia,
Zhenya He
Publication year - 2007
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.56.3766
Subject(s) - symbolic dynamics , sequence (biology) , computer science , nonlinear system , initial value problem , dynamical systems theory , function (biology) , the symbolic , interval (graph theory) , algorithm , theoretical computer science , mathematics , pure mathematics , mathematical analysis , physics , psychology , genetics , quantum mechanics , combinatorics , evolutionary biology , psychoanalysis , biology
In this paper, we consider a symbolic dynamic method, based on going athwart the coupled map lattices, to estimate unknown initial conditions of nonlinear dynamical system from the given symbolic vector sequence. It is proved that any value taken from the interval IN will converge to the initial conditions with the iteration of athwart-coupled map lattices function, and an initial condition detection method from symbolic vector sequence is presented. Both theoretical and experimental results show that the estimation method can establish one-to-one correspondence between the initial conditions of coupled map lattices and their symbolic vector sequence; therefore this technique appears to be ideally suited for information estimation.