GLOBAL STABILITY OF STATIONARY PATTERNS IN BISTABLE REACTION-DIFFUSION SYSTEMS

Authors
IZUS G DEZA R RAMIREZ O WIO HS ZANETTE DH BORZI C
Citation
G. Izus et al., GLOBAL STABILITY OF STATIONARY PATTERNS IN BISTABLE REACTION-DIFFUSION SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(1), 1995, pp. 129-136
Citations number
23
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
52
Issue
1
Year of publication
1995
Part
A
Pages
129 - 136
Database
ISI
SICI code
1063-651X(1995)52:1<129:GSOSPI>2.0.ZU;2-O
Abstract
We study a piecewise linear version of a one-component, one-dimensiona l reaction-diffusion bistable model, with the aim of analyzing the eff ect of boundary conditions on the formation and stability of stationar y patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflecti vity at the boundary. We show that, in this example, this functional h as a very simple and direct geometrical interpretation.