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cond-mat1996
Interface Proliferation and the Growth of Labyrinths in a Reaction-Diffusion System
Raymond E. Goldstein, David J. Muraki, Dean M. Petrich
In the bistable regime of the FitzHugh-Nagumo model of reaction-diffusion systems, spatially homogeneous patterns may be nonlinearly unstable to the formation of compact ``localize…
cond-mat1994
A Nonlocal Contour Dynamics Model for Chemical Front Motion
Dean M. Petrich, Raymond E. Goldstein
Pattern formation exhibited by a two-dimensional reaction-diffusion system in the fast inhibitor limit is considered from the point of view of interface motion. A dissipative nonlo…