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

共 14 条

[1]

ARCURI P, 1986, J MATH BIOL, V24, P141

[2]

DEKEPPER P, IN PRESS

[3]

GORSKI J, 1985, POL J CHEM, V58, P61

[4] AUTOCATALYTIC REACTIONS IN THE ISOTHERMAL, CONTINUOUS STIRRED TANK REACTOR - ISOLAS AND OTHER FORMS OF MULTISTABILITY [J].

GRAY, P ;

SCOTT, SK .

CHEMICAL ENGINEERING SCIENCE, 1983, 38 (01) :29-43

[5]

KERNER BS, 1990, SOV PHYS USP, V33, P3

[6] THEORY OF THE SPIRAL CORE IN EXCITABLE MEDIA [J].

KESSLER, DA ;

LEVINE, H ;

REYNOLDS, WN .

PHYSICA D, 1994, 70 (1-2) :115-139

[7] DISSIPATIVE STRUCTURES AND MORPHOGENETIC PATTERN IN UNICELLULAR ALGAE [J].

LACALLI, TC .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1981, 294 (1074) :547-588

[8]

LEE KH, IN PRESS

[9] PATTERN-FORMATION BY INTERACTING CHEMICAL FRONTS [J].

LEE, KJ ;

MCCORMICK, WD ;

OUYANG, Q ;

SWINNEY, HL .

SCIENCE, 1993, 261 (5118) :192-194

[10] ON OCCURRENCE OF OSCILLATIONS AROUND STEADY STATE IN SYSTEMS OF CHEMICAL REACTIONS FAR FROM EQUILIBRIUM [J].

LEFEVER, R ;

NICOLIS, G ;

PRIGOGINE, I .

JOURNAL OF CHEMICAL PHYSICS, 1967, 47 (03) :1045-+

← 1 2 →