Localized patterns and hole solutions in one-dimensional extended systems

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Localized patterns and hole solutions in one-dimensional extended systems

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Localized patterns and hole solutions in one-dimensional extended systems

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Title: Localized patterns and hole solutions in one-dimensional extended systems
Author: Clerc Gavilán, Marcel Gabriel; Falcón, Claudio
Abstract: he existence, stability properties, dynamical evolution and bifurcation diagram of localized patterns and hole solutions in one-dimensional extended systems are studied from the point of view of front interactions. An adequate envelope equation is derived from a prototype model that exhibits these particle-like solutions. This equation allows us to obtain an analytical expression for the front interaction, which is in good agreement with numerical simulations.
URI: http://www.captura.uchile.cl/handle/2250/2195
Date: 2005-10-01
dc.identifier.citation: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 356 (1): 48-53 OCT 1 2005


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