Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities

Details Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities

1994-05-26

arxiv.org/abs/patt-sol/9405001v1

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.

Affiliated with

Also associated with

No associations

Rating

Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-144598