Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system

Details Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system

2004-03-11

arxiv.org/abs/nlin/0403019v1

Nonlinear Sciences

Pattern Formation and Solitons

One .tex file and four .ps files

Scientific paper

10.1140/epjb/e2004-00240-8

The intrinsic length scales of a reaction diffusion system (Gierer-Meinhardt
model)is varied by quasi-statically changing the diffusion constant of the
activator and a transition from rolls to hexagon is detected. The transition is
hysteretic or first order like. From stability analysis, we also analytically
show the possibility of such transitions.

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