DYNAMICS OF SELF-REPLICATING PATTERNS IN REACTION-DIFFUSION SYSTEMS

被引：149

作者：

REYNOLDS, WN ^{[1
]}

PEARSON, JE ^{[1
]}

PONCEDAWSON, S ^{[1
]}

机构：

[1] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.72.2797

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently solutions to a simple reaction diffusion system have been discovered in which localized structures (spots) make copies of themselves. In this Letter we analyze the one-dimensional analog of this process in which replication occurs until the domain is filled with a periodic array of spots. We provide a heuristic explanation of why this replication process should occur in a broad class of systems. Time dependent solutions are developed for model systems and their analytic structures investigated.

引用

页码：2797 / 2800

页数：4