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   作者單位： 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： 中國科學(xué)A輯（英文版）  SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS)  年，卷(期)： 2005 48(7)  分類號： Q95  關(guān)鍵詞： existence   bifurcation   invariant manifold   invariant torus  

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