Coherence and pattern formation in coupled logistic-map lattices
Chaotic Dynamics
2014-10-10 v2 Statistical Mechanics
Abstract
Three quantitative measures of the spatiotemporal behavior of the coupled map lattices: reduced density matrix, reduced wave function, and an analog of particle number, have been introduced. They provide a quantitative meaning to the concept of coherence which in the context of complex systems have been used rather intuitively. Their behavior suggests that the logistic coupled-map lattices approach the states which resemble the condensed states of systems of Bose particles. In addition, pattern formation in two-dimensional coupled map lattices based on the logistic mapping has been investigated with respect to the non-linear parameter, the diffusion constant and initial as well as boundary conditions.
Cite
@article{arxiv.1301.0231,
title = {Coherence and pattern formation in coupled logistic-map lattices},
author = {Maciej Janowicz and Arkadiusz Orłowski},
journal= {arXiv preprint arXiv:1301.0231},
year = {2014}
}