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Localized Structures in Pattern-Forming Systems

Hermann Riecke
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Abstract

A number of mechanisms that lead to the confinement of patterns to a small part of a translationally symmetric pattern-forming system are reviewed: nonadiabatic locking of fronts, global coupling and conservation laws, dispersion, and coupling to additional slow modes $via$ gradients. Various connections with experimental results are made.

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Hermann Riecke. 1998-10-01. Localized Structures in Pattern-Forming Systems. https://arxiv.org/abs/patt-sol/9810002

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