PATTERN-FORMATION AND BISTABILITY IN FLOW BETWEEN COUNTERROTATING CYLINDERS

被引：66

作者：

GOLUBITSKY, M ^{[1
]}

LANGFORD, WF ^{[1
]}

机构：

[1] UNIV GUELPH,DEPT MATH & STAT,GUELPH N1G 2W1,ONTARIO,CANADA

来源：

PHYSICA D | 1988年 / 32卷 / 03期

关键词：

The authors thank R. Tagg and H.L. Swinney for their help in relating this work to the experiments; and for allowing us the use of the photographs in fig. 2. We also thank J.D. Crawford; W.W. Farr and W. Nagata for help with the calculations reported in table III. This research was supported at the University of Houston by the ACMP program of DARPA; by NASA Ames Grant 2-279. and by the Energy Laboratory of the University of Houston; and at the University of Guelph by NSERC; Canada. One of us (WFL) thanks the University of Houston for visiting positions in 1985 and 1987;

D O I：

10.1016/0167-2789(88)90063-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：362 / 392

页数：31

共 47 条

[11] ON INSTABILITY OF TAYLOR VORTICES [J].

DAVEY, A ;

DIPRIMA, RC ;

STUART, JT .

JOURNAL OF FLUID MECHANICS, 1968, 31 :17-&

[12] THE GROWTH OF TAYLOR VORTICES IN FLOW BETWEEN ROTATING CYLINDERS [J].

DAVEY, A .

JOURNAL OF FLUID MECHANICS, 1962, 14 (03) :336-368

[13]

DEMAY Y, 1985, J MECA TH APPL, P193

[14]

DiPrima R. C., 1971, Instability of continuous systems, P55

[15]

DIPRIMA RC, 1981, TOP APPL PHYS, V45, P139

[16]

DIPRIMA RC, 1984, NUMERICAL METHODS BI, P495

[17] STABILITY OF TAYLOR VORTICES BY FIFTH-ORDER AMPLITUDE EXPANSIONS [J].

EAGLES, PM .

JOURNAL OF FLUID MECHANICS, 1971, 49 (OCT15) :529-&

[18] A SIMPLE GLOBAL CHARACTERIZATION FOR NORMAL FORMS OF SINGULAR VECTOR-FIELDS [J].

ELPHICK, C ;

TIRAPEGUI, E ;

BRACHET, ME ;

COULLET, P ;

IOOSS, G .

PHYSICA D, 1987, 29 (1-2) :95-127

[19] SYMMETRY AND STABILITY IN TAYLOR-COUETTE FLOW [J].

GOLUBITSKY, M ;

STEWART, I .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (02) :249-288

[20] HOPF-BIFURCATION IN THE PRESENCE OF SYMMETRY [J].

GOLUBITSKY, M ;

STEWART, I .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 87 (02) :107-165

← 1 2 3 4 5 →