Interacting pulses in three-component reaction-diffusion systems on two-dimensional domains

被引:155
作者
Schenk, CP
OrGuil, M
Bode, M
Purwins, HG
机构
[1] Institut für Angewandte Physik, Westf älische Wilhelms-Universität Münster, Münster, D-48149
关键词
PATTERN-FORMATION; WAVES; SPOTS;
D O I
10.1103/PhysRevLett.78.3781
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a three-component reaction-diffusion system capable to support an arbitrary number of interacting traveling pulses in two spatial dimensions. Whereas a global coupling added to a two-component system is able to stabilize a single pulse, a fast and strongly diffusive third component can be used to stabilize multipulse solutions. We study two-pulse scattering including extinction and present a pulse generation process leading to a coherently propagating array.
引用
收藏
页码:3781 / 3784
页数:4
相关论文
共 23 条
[1]   SPATIOTEMPORAL PATTERN-FORMATION IN A LATERAL HIGH-FREQUENCY GLOW-DISCHARGE SYSTEM [J].
AMMELT, E ;
SCHWENG, D ;
PURWINS, HG .
PHYSICS LETTERS A, 1993, 179 (4-5) :348-354
[2]   SPIRAL WAVES IN A SURFACE-REACTION - MODEL-CALCULATIONS [J].
BAR, M ;
GOTTSCHALK, N ;
EISWIRTH, M ;
ERTL, G .
JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (02) :1202-1214
[3]   MEASUREMENT OF THE TRANSITION FROM UNIDIRECTIONAL TO BIDIRECTIONAL FRONT PROPAGATION INA REACTION-DIFFUSION SYSTEM [J].
BODE, M ;
REUTER, A ;
SCHMELING, R ;
PURWINS, HG .
PHYSICS LETTERS A, 1994, 185 (01) :70-76
[4]   PATTERN-FORMATION IN REACTION-DIFFUSION SYSTEMS - DISSIPATIVE SOLITONS IN PHYSICAL SYSTEMS [J].
BODE, M ;
PURWINS, HG .
PHYSICA D, 1995, 86 (1-2) :53-63
[5]   Interface proliferation and the growth of labyrinths in a reaction-diffusion system [J].
Goldstein, RE ;
Muraki, DJ ;
Petrich, DM .
PHYSICAL REVIEW E, 1996, 53 (04) :3933-3957
[6]   FRONTS BETWEEN HOPF-TYPE AND TURING-TYPE DOMAINS IN A 2-COMPONENT REACTION-DIFFUSION SYSTEM [J].
HEIDEMANN, G ;
BODE, M ;
PURWINS, HG .
PHYSICS LETTERS A, 1993, 177 (03) :225-230
[7]   THE DYNAMICS OF SCROLL WAVES IN EXCITABLE MEDIA [J].
KEENER, JP ;
TYSON, JJ .
SIAM REVIEW, 1992, 34 (01) :1-39
[8]   BIFURCATION TO TRAVELING SPOTS IN REACTION-DIFFUSION SYSTEMS [J].
KRISCHER, K ;
MIKHAILOV, A .
PHYSICAL REVIEW LETTERS, 1994, 73 (23) :3165-3168
[9]   EXPERIMENTAL-OBSERVATION OF SELF-REPLICATING SPOTS IN A REACTION-DIFFUSION SYSTEM [J].
LEE, KJ ;
MCCORMICK, WD ;
PEARSON, JE ;
SWINNEY, HL .
NATURE, 1994, 369 (6477) :215-218
[10]  
MEINHARDT H, 1995, ALGORITHMIC BEAUTY