SPLITTING OF STEADY MULTIPLE-EIGENVALUES MAY LEAD TO PERIODIC CASCADING BIFURCATION

被引:16
作者
ERNEUX, T [1 ]
REISS, EL [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT ENGN SCI & APPL MATH,EVANSTON,IL 60201
关键词
D O I
10.1137/0143041
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:613 / 624
页数:12
相关论文
共 16 条
[1]   MULTIPLE EIGENVALUES LEAD TO SECONDARY BIFURCATION [J].
BAUER, L ;
KELLER, HB ;
REISS, EL .
SIAM REVIEW, 1975, 17 (01) :101-122
[2]  
BERGE P, 1979, J PHYS LETT-PARIS, V40, pL505, DOI 10.1051/jphyslet:019790040019050500
[3]  
Chow S.-N., 1982, METHODS BIFURCATION
[4]   ON THE BIRTH OF ISOLAS [J].
DELLWO, D ;
KELLER, HB ;
MATKOWSKY, BJ ;
REISS, EL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (05) :956-963
[5]   MANY ROUTES TO TURBULENT CONVECTION [J].
GOLLUB, JP ;
BENSON, SV .
JOURNAL OF FLUID MECHANICS, 1980, 100 (OCT) :449-470
[6]   BENARD CONVECTION IN A FINITE BOX - SECONDARY AND IMPERFECT BIFURCATIONS [J].
HALL, P ;
WALTON, IC .
JOURNAL OF FLUID MECHANICS, 1979, 90 (JAN) :377-395
[7]  
KEENER JP, 1976, STUD APPL MATH, V55, P187
[8]  
KIDACHI H, 1980, PROG THEOR PHYS, V64, P1801
[10]   SOME FURTHER STUDIES ON TRANSITION TO TURBULENT CONVECTION [J].
KRISHNAMURTI, R .
JOURNAL OF FLUID MECHANICS, 1973, 60 (SEP4) :285-+