Cargando…
Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice
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 init...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2016
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4934879/ https://www.ncbi.nlm.nih.gov/pubmed/27382964 http://dx.doi.org/10.1371/journal.pone.0158591 |
_version_ | 1782441398383935488 |
---|---|
author | Xu, Li Zhang, Guang Cui, Haoyue |
author_facet | Xu, Li Zhang, Guang Cui, Haoyue |
author_sort | Xu, Li |
collection | PubMed |
description | 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. |
format | Online Article Text |
id | pubmed-4934879 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2016 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-49348792016-07-18 Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice Xu, Li Zhang, Guang Cui, Haoyue PLoS One Research Article 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. Public Library of Science 2016-07-06 /pmc/articles/PMC4934879/ /pubmed/27382964 http://dx.doi.org/10.1371/journal.pone.0158591 Text en © 2016 Xu et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Xu, Li Zhang, Guang Cui, Haoyue Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title | Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title_full | Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title_fullStr | Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title_full_unstemmed | Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title_short | Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice |
title_sort | dependence of initial value on pattern formation for a logistic coupled map lattice |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4934879/ https://www.ncbi.nlm.nih.gov/pubmed/27382964 http://dx.doi.org/10.1371/journal.pone.0158591 |
work_keys_str_mv | AT xuli dependenceofinitialvalueonpatternformationforalogisticcoupledmaplattice AT zhangguang dependenceofinitialvalueonpatternformationforalogisticcoupledmaplattice AT cuihaoyue dependenceofinitialvalueonpatternformationforalogisticcoupledmaplattice |