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Pattern formation and nonlocal logistic growth | | Nadav M. Shnerb
; | | Date: |
11 Nov 2003 | | Subject: | Soft Condensed Matter; Populations and Evolution; Adaptation and Self-Organizing Systems; Pattern Formation and Solitons | cond-mat.soft nlin.AO nlin.PS q-bio.PE | | Abstract: | Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest neighbor interactions. The analytic results are confirmed by numerical simulations. | | Source: | arXiv, cond-mat/0311230 | | Other source: | [GID 1006783] pmid15244627 | | Services: | Forum | Review | PDF | Favorites | |
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