Existence and bifurcation of integral manifolds with applications
In this paper a bifurcation theorem on the existence of integral manifolds is obtained by using contracting principle. As an application, sufficient conditions for a higher dimensional system to have an integral manifold are given. Especially the existence and uniqueness of a 3-dimensional invariant torus appearing in a 4-dimensional autonomous system with singularity of codimension two are proved.
作 者： HAN Mao'an Chen Xianfeng 作者单位： HAN Mao'an(Department of Mathematics, Shanghai Normal University, Shanghai 200234, China)Chen Xianfeng(Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China)
刊 名： 中国科学A辑（英文版） SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS) 年，卷(期)： 2005 48(7) 分类号： Q95 关键词： existence bifurcation invariant manifold invariant torus