数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (S1): 105-113.
曾唯尧1, 周玉波2, 张卫国1
Zeng weiyao1, Zhou Yubo2, Zhang Weiguo1
摘要: The main purpose of this paper is to study homocliaic bifurcation in a degenerate case of differential equations of form x=f(x, ε) and x=g(x) + h(t, x. ε). By using theory of exponential dichotomies and Liapunov-Schmidt method, the authors obtain the Melnikov-like vectors by which the existence of homoclinic orbits can be detected.