STATIONARY STRUCTURES IN A 3-DIMENSIONAL REACTION-DIFFUSION SYSTEM

被引：5

作者：

HASSAN, SA ^{[1
]}

ZANETTE, DH ^{[1
]}

机构：

[1] INST BALSEIRO,RA-8400 BARILOCHE,RIO NEGRO,ARGENTINA

来源：

PHYSICA A | 1995年 / 214卷 / 03期

关键词：

D O I：

10.1016/0378-4371(94)00281-W

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study stationary structures with radial symmetry in a three dimensional reaction-diffusion system inside a sphere, with partial and total reflection and absorption at the surface. The model corresponds to a piecewise linearized mimic of the Schlogl model for bistable reaction kinetics and could be thought of as a three dimensional version of the ballast resistor system. We show that the existence of stationary solutions can depend on the system size and carry out a linear stability analysis which indicates that the system presents zones of bistability in the space of relevant parameters.

引用

页码：435 / 444

页数：10

共 12 条

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