CHAIN OF COUPLED BISTABLE OSCILLATORS - A MODEL

被引：31

作者：

DEFONTAINES, AD

POMEAU, Y

ROSTAND, B

机构：

[1] LAB PHYS STAT,F-75231 PARIS 05,FRANCE

[2] ECOLE NORM SUPER,PHYS THEOR LAB,F-75231 PARIS 05,FRANCE

来源：

PHYSICA D | 1990年 / 46卷 / 02期

关键词：

D O I：

10.1016/0167-2789(90)90036-O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dynamics of a string of coupled bistable oscillators. Due to the discrete space variable, inhomogeneous states persist forever in a codimension 0 set of parameters at low coupling. At higher coupling the interface separating two different regions of the string may propagate. We derive an analytical expression for the mean speed of propagation in the weakly nonlinear low coupling regime. The strong coupling regime is investigated numerically, the results being compared to those of a qualitative analysis. It turns out in particular that the front's propagation speed is a discontinuous function of the coupling parameter, owing to a kind of frequency locking phenomenon. © 1990.

引用

页码：201 / 216

页数：16

共 14 条

[1] NONADIABATIC EFFECTS IN CONVECTION [J].

BENSIMON, D ;

SHRAIMAN, BI ;

CROQUETTE, V .

PHYSICAL REVIEW A, 1988, 38 (10) :5461-5464

[2] OSCILLATING INSTABILITY IN ONE-DIMENSIONAL RAYLEIGH-BENARD CONVECTION [J].

DAVIAUD, F ;

BERGE, P ;

DUBOIS, M .

JOURNAL DE PHYSIQUE, 1989, 50 (C-3) :181-186

[3]

DIENER M, 1980, PUBLICATION IRMA

[4] COLLECTIVE OSCILLATING MODE IN A ONE-DIMENSIONAL CHAIN OF CONVECTIVE ROLLS [J].

DUBOIS, M ;

DASILVA, R ;

DAVIAUD, F ;

BERGE, P ;

PETROV, A .

EUROPHYSICS LETTERS, 1989, 8 (02) :135-139

[5]

DUBOIS M, 1989, EUROPHYS LETT, V8, P139

[6]

ECKHAUS W, 1983, LECT NOTES MATH, V985, P449

[7]

Guckenheimer J., 2013, APPL MATH SCI, DOI 10.1007/978-1-4612- 1140-2

[8]

Hirsch MW., 1974, DIFFERENTIAL EQUATIO

[9] DYNAMICS OF SOLITONS IN NEARLY INTEGRABLE SYSTEMS [J].

KIVSHAR, YS ;

MALOMED, BA .

REVIEWS OF MODERN PHYSICS, 1989, 61 (04) :763-915

[10] FRONT MOTION, METASTABILITY AND SUBCRITICAL BIFURCATIONS IN HYDRODYNAMICS [J].

POMEAU, Y .

PHYSICA D, 1986, 23 (1-3) :3-11

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