title: Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice.
abstract: The logistic coupled map lattices (LCML) have been widely investigated as well as their pattern dynamics. The patterns formation may depend on not only fluctuations of system parameters, but variation of the initial conditions. However, the mathematical discussion is quite few for the effect of initial values so far. The present paper is concerned with the pattern formation for a two-dimensional Logistic coupled map lattice, where any initial value can be linear expressed by corresponding eigenvectors, and patterns formation can be determined by selecting the corresponding eigenvectors. A set of simulations are conducted whose results demonstrate the fact. The method utilized in the present paper could be applied to other discrete systems as well.
authors.affiliation: School of Science, Tianjin University of Commerce, Tianjin, China.
authors.forename: Li
authors.initials: L
authors.lastname: Xu
authors.affiliation: School of Science, Tianjin University of Commerce, Tianjin, China.
authors.forename: Guang
authors.initials: G
authors.lastname: Zhang
authors.affiliation: School of Science, Tianjin University of Commerce, Tianjin, China.
authors.forename: Haoyue
authors.initials: H
authors.lastname: Cui
mesh_terms: D000465:Algorithms; D000818:Animals; D019295:Computational Biology / Q000379:methods; D003198:Computer Simulation; D006801:Humans; D016014:Linear Models; D016015:Logistic Models; D008962:Models, Theoretical; D010363:Pattern Recognition, Automated; D015203:Reproducibility of Results