摘要
Bifurcation problems of high dimensional system with several parameters are considered. Assume that the system has an invariant manifold, which consists entirely of periodic orbits and has a center subspace with two dimensions in nor mal direction. The existence and the normal hyperbolicity of the 2-dimensional invariant torus and the 3-dimensional invariant torus are given. The phenome non of bifurcation for the 3-dimensional invariant torus from one single periodic orbit is discovered for the first time.
Bifurcation problems of high dimensional system with several parameters are considered. Assume that the system has an invariant manifold, which consists entirely of periodic orbits and has a center subspace with two dimensions in nor mal direction. The existence and the normal hyperbolicity of the 2-dimensional invariant torus and the 3-dimensional invariant torus are given. The phenome non of bifurcation for the 3-dimensional invariant torus from one single periodic orbit is discovered for the first time.
