Eur. Phys. J. B 40, 73-77 (2004)
https://doi.org/10.1140/epjb/e2004-00240-8

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

¹ Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa, Poland
² Institut für Festkörperphysik, Technische Universität Darmstadt, Hochschulstr. 6, 64289 Darmstadt, Germany

Corresponding authors: ^a This email address is being protected from spambots. You need JavaScript enabled to view it. - ^b This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 17 December 2003
Revised: 15 June 2004
Published online: 3 August 2004

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.