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patt-sol1998
Simple and Superlattice Turing Patterns in Reaction-Diffusion Systems: Bifurcation, Bistability, and Parameter Collapse
Stephen L. Judd, Mary Silber
This paper investigates the competition between both simple (e.g. stripes, hexagons) and ``superlattice'' (super squares, super hexagons) Turing patterns in two-component reaction-…
patt-sol1997
New stability results for long-wavelength convection patterns
Anne C. Skeldon, Mary Silber
We consider the transition from a spatially uniform state to a steady, spatially-periodic pattern in a partial differential equation describing long-wavelength convection. This bot…