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arXiv · 1301.0231

Coherence and pattern formation in coupled logistic-map lattices

Maciej Janowicz·Arkadiusz Orłowski
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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.

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Maciej Janowicz, Arkadiusz Orłowski. 2013-01-24. Coherence and pattern formation in coupled logistic-map lattices. https://doi.org/10.1007/978-3-319-10515-4

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