一类非双曲不变环面的分支

Bifurcations of nonhyperbolic invariant torus

未扰动的n维系统x=f(x),x∈Rn具有一个非双曲闭轨。利用Floquet理论及平均法,给出在周期扰动下,此非双曲闭轨的分支。

Consider the time -periodic perturbations of an n-dimensional autonomous system with a nonhyperbolic closed orbit in phase space . By the method of averaging and Floquet theory , the bifurcations of the invariant torus in the extended phase space are studied.