Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems

被引：13

作者：

Izus, G

Deza, R

Borzi, C

Wio, HS

机构：

[1] UNIV MAR DEL PLATA, FAC CIENCIAS EXACTAS & NAT, DEPT FIS, RA-7600 MAR DEL PLATA, ARGENTINA

[2] MONDITEC SA, RA-1428 BUENOS AIRES, DF, ARGENTINA

[3] CNEA, CTR ATOM BARILOCHE, RA-8400 San Carlos De Bariloche, RIO NEGRO, ARGENTINA

[4] UNC, INST BALSEIRO, RA-8400 San Carlos De Bariloche, RIO NEGRO, ARGENTINA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1997年 / 237卷 / 1-2期

关键词：

D O I：

10.1016/S0378-4371(96)00382-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions (''albedo'' b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries.

引用

页码：135 / 149

页数：15

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[Anonymous], 1982, MATH METHODS POPULAT

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[Anonymous], 1987, Statistical Thermodynamics of Nonequilibrium Processes

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ARONSON DG, 1985, ANN MATH STUDIES, V109

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