Proposed resolution of theory-experiment discrepancy in homoclinic snaking

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

Research output: Contribution to journal › Article

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.

LanguageEnglish
Pages104503
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number10
DOIs
Publication statusPublished - 7 Sep 2007

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lateral oscillation
solitary waves
diagrams
nonlinearity

Keywords

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

Cite this

Firth, W.J. ; Columbo, L. ; Scroggie, A. / Proposed resolution of theory-experiment discrepancy in homoclinic snaking. In: Physical Review Letters. 2007 ; Vol. 99, No. 10. pp. 104503.
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Firth, WJ, Columbo, L & Scroggie, A 2007, 'Proposed resolution of theory-experiment discrepancy in homoclinic snaking' Physical Review Letters, vol. 99, no. 10, pp. 104503. https://doi.org/10.1103/PhysRevLett.99.104503

Proposed resolution of theory-experiment discrepancy in homoclinic snaking. / Firth, W.J.; Columbo, L.; Scroggie, A.

In: Physical Review Letters, Vol. 99, No. 10, 07.09.2007, p. 104503.

Research output: Contribution to journal › Article

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AB - 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.

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Firth WJ, Columbo L, Scroggie A. Proposed resolution of theory-experiment discrepancy in homoclinic snaking. Physical Review Letters. 2007 Sep 7;99(10):104503. https://doi.org/10.1103/PhysRevLett.99.104503

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