Proposed resolution of theory-experiment discrepancy in homoclinic snaking.

Phys Rev Lett

SUPA and Department of Physics, University of Strathclyde, Glasgow, Scotland, United Kingdom.

Published: September 2007

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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http://dx.doi.org/10.1103/PhysRevLett.99.104503DOI Listing

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