APPLICATIONS OF THE SIGNS OF MELNIKOV'S FUNCTION

摘要

The existence and stability of peridic solutions for the two-dimensional system x′=f(x)+g(x, a), Oε1,a∈R whoseunperturbed system is Hamlitonan be decided by using the signs of Melnikov’s function. Theresults can be applied to the comstuction of phase portralts in the bifiacation set of codimension two bifurcations of flows with double aero eignvahues.