BOUNDARY EFFECTS ON THE DYNAMICS OF MONOSTABLE REACTION-DIFFUSION SYSTEMS

Authors
VONHAEFTEN B IZUS G DEZA R BORZI C
Citation
B. Vonhaeften et al., BOUNDARY EFFECTS ON THE DYNAMICS OF MONOSTABLE REACTION-DIFFUSION SYSTEMS, Physics letters. A, 236(5-6), 1997, pp. 403-408
Citations number
37
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
236
Issue
5-6
Year of publication
1997
Pages
403 - 408
Database
ISI
SICI code
0375-9601(1997)236:5-6<403:BEOTDO>2.0.ZU;2-E
Abstract
We study a monostable reaction-diffusion model in a bounded domain, su bjected to partially reflecting boundary conditions. We analyze the st ability of the arising patterns and detect a bifurcation of the unifor m solution induced by changes in the reflectivity of the boundaries. W e examine the critical slowing down of the system's dynamics in the ne ighborhood of the bifurcation point by analyzing its non-equilibrium p otential. (C) 1997 Elsevier Science B.V.