IMPERFECTION SENSITIVITY OF INTERACTING HOPF AND STEADY-STATE BIFURCATIONS AND THEIR CLASSIFICATION

被引:11
作者
ARMBRUSTER, D
DANGELMAYR, G
GUTTINGER, W
机构
来源
PHYSICA D | 1985年 / 16卷 / 01期
关键词
D O I
10.1016/0167-2789(85)90087-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:99 / 123
页数:25
相关论文
共 30 条
[1]   AN ORGANIZING CENTER FOR OPTICAL BISTABILITY AND SELF-PULSING [J].
ARMBRUSTER, D .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1983, 53 (02) :157-166
[2]  
AUCHMUTY JFG, 1975, B MATH BIOL, V37, P323, DOI 10.1007/BF02459519
[3]  
BERGE P, 1980, PHYS LETT, V76, P53
[4]  
CHILLINGWORTH DRJ, 1981, MECHANICS SOLIDS R H
[5]  
DANGELMAYR G, 1983, P LOND MATH SOC, V46, P517
[6]   ROADS TO TURBULENCE IN DISSIPATIVE DYNAMICAL-SYSTEMS [J].
ECKMANN, JP .
REVIEWS OF MODERN PHYSICS, 1981, 53 (04) :643-654
[7]   CLASSIFICATION AND UNFOLDINGS OF DEGENERATE HOPF BIFURCATIONS [J].
GOLUBITSKY, M ;
LANGFORD, WF .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1981, 41 (03) :375-415
[8]   THEORY FOR IMPERFECT BIFURCATION VIA SINGULARITY THEORY [J].
GOLUBITSKY, M ;
SCHAEFFER, D .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (01) :21-98
[9]   IMPERFECT BIFURCATION IN THE PRESENCE OF SYMMETRY [J].
GOLUBITSKY, M ;
SCHAEFFER, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 67 (03) :205-232
[10]   A SINGULARITY THEORY ANALYSIS OF A THERMAL-CHAINBRANCHING MODEL FOR THE EXPLOSION PENINSULA [J].
GOLUBITSKY, M ;
KEYFITZ, BL ;
SCHAEFFER, DG .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (04) :433-463