Competitive localization

James N. Cook; Y. Oono

doi:10.1016/j.physa.2009.12.053

Competitive localization

James N. Cook, Y. Oono

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Many problems may be cast into the form of entities utilizing resources and competing for those resources. Several models inspired by such competition have previously been shown to exhibit clumping and in some cases localization in their stable equilibrium states. We show that such localization, which we wish to call 'competitive localization', is generic, and we provide techniques to accurately find the equilibrium states when competitive localization occurs. We also expose some difficulties in relying on numerical simulations when exploring models of this type.

Original language	English (US)
Pages (from-to)	1849-1860
Number of pages	12
Journal	Physica A: Statistical Mechanics and its Applications
Volume	389
Issue number	9
DOIs	https://doi.org/10.1016/j.physa.2009.12.053
State	Published - May 1 2010

Keywords

Competition
Localization
Species dynamics

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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KW - Species dynamics

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Competitive localization

Abstract

Keywords

ASJC Scopus subject areas

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