Localized Structures in Pattern-Forming Systems

Details Localized Structures in Pattern-Forming Systems Localized Structures in Pattern-Forming Systems

1998-10-01

arxiv.org/abs/patt-sol/9810002v1

Nonlinear Sciences

Pattern Formation and Solitons

Proceedings of the IMA-workshop "Pattern Formation in Continuous and Coupled Systems"

Scientific paper

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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