数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (1): 65-73.

• 论文 • 上一篇    下一篇

EXTENDED SYSTEM, BIFURCATION PROBLEM AND HIGH ORDER SINGULARITIES

胡国庆, 李开泰   

  1. Department of Mathematics, Xian Jiaotong University, Xi'an 710049, China
  • 收稿日期:1992-07-20 修回日期:1993-04-14 出版日期:1995-03-25 发布日期:1995-03-25

EXTENDED SYSTEM, BIFURCATION PROBLEM AND HIGH ORDER SINGULARITIES

Hu Guoqing, Li Kaitai   

  1. Department of Mathematics, Xian Jiaotong University, Xi'an 710049, China
  • Received:1992-07-20 Revised:1993-04-14 Online:1995-03-25 Published:1995-03-25

摘要: In this paper,we consider two extended systems.When using them for the two parameter bifurcation problems,the simple bifurcation point with regard to λ can turn into the simple turning point with regard to μ Simple high orde bifurcation point is first studied without using the symmetry condition.

关键词: two-parameter nonlinear problems, extended systems, bifurcation problem, Simple tarning point, simple high order bifurcation point

Abstract: In this paper,we consider two extended systems.When using them for the two parameter bifurcation problems,the simple bifurcation point with regard to λ can turn into the simple turning point with regard to μ Simple high orde bifurcation point is first studied without using the symmetry condition.

Key words: two-parameter nonlinear problems, extended systems, bifurcation problem, Simple tarning point, simple high order bifurcation point