Zhou Kun. On the Problem of the Number of Bifurcation Solutions at Singular Point[J]. Applied Mathematics and Mechanics, 1997, 18(10): 905-909.
Citation:
Zhou Kun. On the Problem of the Number of Bifurcation Solutions at Singular Point[J]. Applied Mathematics and Mechanics, 1997, 18(10): 905-909.
Zhou Kun. On the Problem of the Number of Bifurcation Solutions at Singular Point[J]. Applied Mathematics and Mechanics, 1997, 18(10): 905-909.
Citation:
Zhou Kun. On the Problem of the Number of Bifurcation Solutions at Singular Point[J]. Applied Mathematics and Mechanics, 1997, 18(10): 905-909.
On the Problem of the Number of Bifurcation Solutions at Singular Point
Received Date: 1995-07-19
Rev Recd Date:
1997-01-01
Publish Date:
1997-10-15
Abstract
In this paper,it is proved that the solutions of a nonlinear equation are isolated under Ihe condition that the singular points are isolated.It shows that there musl have and Only have finite solutions branching from bifurcation point.This is important.for the numerical analysis of bifurcation problems.
References
[1]
季海波、武际可、胡海昌,分叉问题的几何描述及其计算方法,中国科学(A),(9)(1991),947.
[2]
E.Allgower and K.Georg-Numerical Continuation Methods,Springer-Verlag(1990).
[3]
S.N.Chow and J.K.Hale,Methods of Bifurcation Theory,Springer-Verlag(1982).
[4]
武际可、苏先椒,《弹性系统的稳定性》,科学出版社(1994).
Proportional views