Proposed resolution of theory-experiment discrepancy in homoclinic snaking

W.J. Firth, L. Columbo, A. Scroggie

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

In spatially extended Turing-unstable systems, parameter variation should, in theory, produce only fully developed patterns. In experiment, however, localized patterns or solitons sitting on a smooth background often appear. Addition of a nonlocal nonlinearity can resolve this discrepancy by tilting the "snaking" bifurcation diagram characteristic of such problems.

Original languageEnglish
Pages (from-to)104503
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number10
DOIs
Publication statusPublished - 7 Sep 2007

Keywords

  • pattern selection
  • pattern formation
  • optics
  • solitons
  • bifurcation
  • physics

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