CHAOTIC MOTIONS IN A WEAKLY NONLINEAR MODEL FOR SURFACE-WAVES

被引:53
作者
HOLMES, P
机构
[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853
[2] CORNELL UNIV,CTR APPL MATH,ITHACA,NY 14853
关键词
D O I
10.1017/S0022112086002082
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
引用
收藏
页码:365 / 388
页数:24
相关论文
共 39 条
[1]  
Arnold V. I, 1989, MATH METHODS CLASSIC, VSecond, DOI DOI 10.1007/978-1-4757-1693-1
[2]   THE STABILITY OF THE PLANE FREE SURFACE OF A LIQUID IN VERTICAL PERIODIC MOTION [J].
BENJAMIN, TB ;
URSELL, F .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 225 (1163) :505-515
[3]  
Cairns S. S., 1963, DIFFERENTIAL COMBINA, P63
[4]   CHAOTIC MODE COMPETITION IN PARAMETRICALLY FORCED SURFACE-WAVES [J].
CILIBERTO, S ;
GOLLUB, JP .
JOURNAL OF FLUID MECHANICS, 1985, 158 (SEP) :381-398
[5]   PATTERN COMPETITION LEADS TO CHAOS [J].
CILIBERTO, S ;
GOLLUB, JP .
PHYSICAL REVIEW LETTERS, 1984, 52 (11) :922-925
[6]  
Faraday M., 1831, PHILOS T R SOC, V121, P299, DOI [DOI 10.1098/RSTL.1831.0018, 10.1098/rstl.1831.0018]
[7]  
Goldstein H., 1980, CLASSICAL MECH, V2nd ed
[8]   SYMMETRY-BREAKING INSTABILITIES ON A FLUID SURFACE [J].
GOLLUB, JP ;
MEYER, CW .
PHYSICA D, 1983, 6 (03) :337-346
[9]  
Greenspan B. D., 1983, NONLINEAR DYNAMICS T, P172
[10]  
Guckenheimer J., 2013, NONLINEAR OSCILLATIO, V42