On the origin of traveling pulses in bistable systems

被引:44
作者
Elphick, C
Hagberg, A
Malomed, BA
Meron, E
机构
[1] LOS ALAMOS NATL LAB, CTR NONLINEAR STUDIES & T7, DIV THEORET, LOS ALAMOS, NM 87545 USA
[2] TEL AVIV UNIV, FAC ENGN, DEPT INTERDISCIPLINARY STUDIES, IL-69978 RAMAT AVIV, ISRAEL
[3] BEN GURION UNIV NEGEV, JACOB BLAUSTEIN INST DESERT RES, IL-84990 SEDE BOQER, ISRAEL
[4] BEN GURION UNIV NEGEV, DEPT PHYS, IL-84990 SEDE BOQER, ISRAEL
关键词
D O I
10.1016/S0375-9601(97)00228-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The interaction between a pair of Bloch fronts forming a traveling domain in a bistable medium is studied. A parameter range beyond the nonequilibrium Ising-Bloch bifurcation is found where traveling domains collapse. Only beyond a second threshold the repulsive front interactions become strong enough to balance attractive interactions and asymmetries in front speeds, and form stable traveling pulses, The analysis is carried out for the forced complex Ginzburg-Landau equation. Similar qualitative behavior is found in the bistable FitzHugh-Nagumo model. (C) 1997 Published by Elsevier Science B.V.
引用
收藏
页码:33 / 37
页数:5
相关论文
共 31 条
[1]   PARAMETRIC RESONANCE IN RAYLEIGH-BENARD CONVECTION WITH CORRUGATED GEOMETRY [J].
BHATTACHARJEE, JK .
PHYSICAL REVIEW A, 1991, 43 (02) :819-821
[2]   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
[3]   POLYHEDRAL FLAMES - AN EXERCISE IN BIMODAL BIFURCATION-ANALYSIS [J].
BUCKMASTER, J .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (01) :40-55
[4]   INSTABILITIES OF ONE-DIMENSIONAL CELLULAR-PATTERNS [J].
COULLET, P ;
IOOSS, G .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :866-869
[5]   BREAKING CHIRALITY IN NONEQUILIBRIUM SYSTEMS [J].
COULLET, P ;
LEGA, J ;
HOUCHMANDZADEH, B ;
LAJZEROWICZ, J .
PHYSICAL REVIEW LETTERS, 1990, 65 (11) :1352-1355
[6]   COMMENSURATE-INCOMMENSURATE TRANSITION IN NONEQUILIBRIUM SYSTEMS [J].
COULLET, P .
PHYSICAL REVIEW LETTERS, 1986, 56 (07) :724-727
[7]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[8]   EFFECTS OF AN ALMOST RESONANT SPATIAL THERMAL MODULATION IN THE RAYLEIGH-BENARD PROBLEM - QUASI-PERIODIC BEHAVIOR [J].
CURADO, EMF ;
ELPHICK, C .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (05) :1205-1214
[9]  
EISWIRTH M, 1995, CHEM WAVES PATTERNS
[10]   SPATIOTEMPORAL COMPLEXITY IN TRAVELING PATTERNS [J].
ELPHICK, C ;
MERON, E ;
SPIEGEL, EA .
PHYSICAL REVIEW LETTERS, 1988, 61 (05) :496-499