GLOBAL STABILITY OF STATIONARY PATTERNS IN BISTABLE REACTION-DIFFUSION SYSTEMS

被引：41

作者：

IZUS, G

DEZA, R

RAMIREZ, O

WIO, HS

ZANETTE, DH

BORZI, C

机构：

[1] COMIS NACL ENERGIA ATOM,CTR ATOM BARILOCHE,RA-8400 BARILOCHE,ARGENTINA

[2] UNIV NACL CUYO,INST BALSEIRO,RA-8400 BARILOCHE,ARGENTINA

[3] COMIS NACL ENERGIA ATOM,RA-1429 BUENOS AIRES,DF,ARGENTINA

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.52.129

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation.

引用

页码：129 / 136

页数：8

共 23 条

[1] STABILITY OF INHOMOGENEOUS STATIONARY STATES FOR THE HOT-SPOT MODEL OF A SUPERCONDUCTING MICROBRIDGE [J].