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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

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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.