Computer algebra in scientific computing. 16th international workshop, CASC 2014, Warsaw, Poland, September 8--12, 2014. Proceedings

DOI10.1007/978-3-319-10515-4zbMATH Open1295.68022arXiv1301.0231OpenAlexW3103827386MaRDI QIDQ740402

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Publication date: 2 September 2014

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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.

Full work available at URL: https://arxiv.org/abs/1301.0231

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