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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 關鍵詞: existence bifurcation invariant manifold invariant torus【Existence and bifurcation of integra】相關文章:
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