CLASSIFICATION AND UNFOLDING OF DEGENERATE HOPF BIFURCATIONS WITH O(2) SYMMETRY - NO DISTINGUISHED PARAMETER

被引:24
作者
CRAWFORD, JD
KNOBLOCH, E
机构
[1] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093
[2] UNIV CALIF BERKELEY,DEPT PHYS,BERKELEY,CA 94720
来源
PHYSICA D | 1988年 / 31卷 / 01期
关键词
D O I
10.1016/0167-2789(88)90011-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:1 / 48
页数:48
相关论文
共 19 条
[1]   FLOW INDUCED BIFURCATIONS TO 3-DIMENSIONAL OSCILLATORY MOTIONS IN CONTINUOUS TUBES [J].
BAJAJ, AK ;
SETHNA, PR .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (02) :270-286
[2]  
BRUCE JW, 1985, DETERMINACY UNIPOTEN
[3]  
BUZANO E, 1985, ARCH RATION MECH AN, V89, P307, DOI 10.1007/BF00250729
[4]   QUASI-PERIODIC WAVES ALONG A PULSATING PROPAGATING FRONT IN A REACTION-DIFFUSION SYSTEM [J].
ERNEUX, T ;
MATKOWSKY, BJ .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1984, 44 (03) :536-544
[5]  
Gaffney T., 1986, CONTEMP MATH-SINGAP, V56, P97
[6]   SYMMETRY AND STABILITY IN TAYLOR-COUETTE FLOW [J].
GOLUBITSKY, M ;
STEWART, I .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (02) :249-288
[7]   SYMMETRIES AND PATTERN SELECTION IN RAYLEIGH-BENARD CONVECTION [J].
GOLUBITSKY, M ;
SWIFT, JW ;
KNOBLOCH, E .
PHYSICA D, 1984, 10 (03) :249-276
[8]   A CLASSIFICATION OF DEGENERATE HOPF BIFURCATIONS WITH O(2) SYMMETRY [J].
GOLUBITSKY, M ;
ROBERTS, M .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 69 (02) :216-264
[9]   HOPF-BIFURCATION IN THE PRESENCE OF SYMMETRY [J].
GOLUBITSKY, M ;
STEWART, I .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 87 (02) :107-165
[10]  
GOLUBITSKY M, 1985, SPRINGER SERIES APPL, V51