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Proposed resolution of theory-experiment discrepancy in homoclinic snaking

Firth, W.J. and Columbo, L. and Scroggie, A. (2007) Proposed resolution of theory-experiment discrepancy in homoclinic snaking. Physical Review Letters, 99 (10). p. 104503. ISSN 0031-9007

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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.