Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system
Pattern Formation and Solitons
2009-11-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0403019,
title = {Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system},
author = {Julian Sienkiewicz and A. Bhattacharyay},
journal= {arXiv preprint arXiv:nlin/0403019},
year = {2009}
}
Comments
One .tex file and four .ps files