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Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice

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  • Li Xu
  • Guang Zhang
  • Haoyue Cui

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.

Suggested Citation

  • Li Xu & Guang Zhang & Haoyue Cui, 2016. "Dependence of Initial Value on Pattern Formation for a Logistic Coupled Map Lattice," PLOS ONE, Public Library of Science, vol. 11(7), pages 1-11, July.
    • Handle: RePEc:plo:pone00:0158591
    DOI: 10.1371/journal.pone.0158591
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    Cited by:

    1. Zhang, Guang & Zhang, Ruixuan & Yan, Yubin, 2020. "The diffusion-driven instability and complexity for a single-handed discrete Fisher equation," Applied Mathematics and Computation, Elsevier, vol. 371(C).

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