Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
1994-05-26
Chaos 4, 477 (1994)
Nonlinear Sciences
Pattern Formation and Solitons
Text: 14 pages compressed Postscript (90kb) Figures: 9 pages compressed Postscript (368kb)
Scientific paper
10.1063/1.166047
Two front instabilities in a reaction-diffusion system are shown to lead to the formation of complex patterns. The first is an instability to transverse modulations that drives the formation of labyrinthine patterns. The second is a Nonequilibrium Ising-Bloch (NIB) bifurcation that renders a stationary planar front unstable and gives rise to a pair of counterpropagating fronts. Near the NIB bifurcation the relation of the front velocity to curvature is highly nonlinear and transitions between counterpropagating fronts become feasible. Nonuniformly curved fronts may undergo local front transitions that nucleate spiral-vortex pairs. These nucleation events provide the ingredient needed to initiate spot splitting and spiral turbulence. Similar spatio-temporal processes have been observed recently in the ferrocyanide-iodate-sulfite reaction.
Hagberg Aric
Meron Ehud
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