CONVENTIONAL AND UNCONVENTIONAL TURING PATTERNS

被引:82
作者
DUFIET, V
BOISSONADE, J
机构
[1] Centre de Recherche Paul Pascal, Université Bordeaux I, F-33600 Pessac, Avenue Schweitzer
关键词
D O I
10.1063/1.462450
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The formation of two-dimensional Turing patterns in nonequilibrium chemical systems is studied by numerical simulations with an activator-substrate depletion model. The relative stabilities of the different hexagonal patterns and the striped patterns are discussed, in particular in the vicinity of the transition, and compared with the present state theory. The generic instabilities of the striped patterns are evidenced. In particular, we report the formation of stable zigzag patterns which share features both of one-dimensional and two-dimensional patterns. We also provide examples of temporal evolution in a weakly confined system.
引用
收藏
页码:664 / 673
页数:10
相关论文
共 42 条
[1]  
[Anonymous], 1991, MATH BIOL
[2]  
Babloyantz A., 1986, MOL DYNAMICS LIFE
[3]  
BOISSONADE J, 1991, INT S NUM M, V97, P67
[5]   EXPERIMENTAL-EVIDENCE OF A SUSTAINED STANDING TURING-TYPE NONEQUILIBRIUM CHEMICAL-PATTERN [J].
CASTETS, V ;
DULOS, E ;
BOISSONADE, J ;
DEKEPPER, P .
PHYSICAL REVIEW LETTERS, 1990, 64 (24) :2953-2956
[6]   DEFECTS IN ROLL-HEXAGON COMPETITION [J].
CILIBERTO, S ;
COULLET, P ;
LEGA, J ;
PAMPALONI, E ;
PEREZGARCIA, C .
PHYSICAL REVIEW LETTERS, 1990, 65 (19) :2370-2373
[7]   TURING-TYPE CHEMICAL-PATTERNS IN THE CHLORITE-IODIDE-MALONIC ACID REACTION [J].
DEKEPPER, P ;
CASTETS, V ;
DULOS, E ;
BOISSONADE, J .
PHYSICA D, 1991, 49 (1-2) :161-169
[8]  
DEWIT A, 1990, SEEDS GENESIS NATURA, P62
[9]  
DEWIT A, IN PRESS PHYSICA D
[10]  
Eckhaus W., 1965, STUDIES NONLINEAR ST