COMPLEX PATTERNS IN A SIMPLE SYSTEM

被引:752
作者
PEARSON, JE
机构
[1] Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos
关键词
D O I
10.1126/science.261.5118.189
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Numerical simulations of a simple reaction-diffusion model reveal a surprising variety of irregular spatiotemporal patterns. These patterns arise in response to finite-amplitude perturbations. Some of them resemble the steady irregular patterns recently observed in thin gel reactor experiments. Others consist of spots that grow until they reach a critical size, at which time they divide in two. If in some region the spots become overcrowded, all of the spots in that region decay into the uniform background.
引用
收藏
页码:189 / 192
页数:4
相关论文
共 20 条
[1]   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
[2]   SUSTAINED OSCILLATIONS AND OTHER EXOTIC PATTERNS OF BEHAVIOR IN ISOTHERMAL REACTIONS [J].
GRAY, P ;
SCOTT, SK .
JOURNAL OF PHYSICAL CHEMISTRY, 1985, 89 (01) :22-32
[3]   AUTOCATALYTIC REACTIONS IN THE ISOTHERMAL, CONTINUOUS STIRRED TANK REACTOR - OSCILLATIONS AND INSTABILITIES IN THE SYSTEM A+2B-]3B-B-]C [J].
GRAY, P ;
SCOTT, SK .
CHEMICAL ENGINEERING SCIENCE, 1984, 39 (06) :1087-1097
[4]  
HAGBERG A, U ARIZONA PREPR
[5]  
HASSLACHER B, 1993, CHAOS, V3, P1
[6]  
HOHENBERG PC, 1993, REV MOD PHYS, V65, P3
[7]   THE EVOLUTION OF PATTERNS IN A HOMOGENEOUSLY OSCILLATING MEDIUM [J].
KAWCZYNSKI, AL ;
COMSTOCK, WS ;
FIELD, RJ .
PHYSICA D-NONLINEAR PHENOMENA, 1992, 54 (03) :220-234
[8]  
Kuramoto Y., 1984, CHEM OSCILLATIONS WA, V19
[9]   PATTERN-FORMATION BY INTERACTING CHEMICAL FRONTS [J].
LEE, KJ ;
MCCORMICK, WD ;
OUYANG, Q ;
SWINNEY, HL .
SCIENCE, 1993, 261 (5118) :192-194
[10]  
Nicolis G, 1977, SELF ORG NONEQUILIBR