Maciej Janowicz, Arkadiusz Orłowski
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 strongly indicate that the coupled map lattices based on the logistic mapping approach the states which resemble the condensed states of systems of Bose particles. 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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http://arxiv.org/abs/1301.0231
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