Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice.
Where this comes from
- Record sourced from PubMed, PMID 27382964.
- Also identified by DOI 10.1371/journal.pone.0158591 and PMC identifier 4934879.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
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.
Medical subject headings
- Algorithms
- Computer Simulation
- Models, Theoretical
- Pattern Recognition, Automated