CODIMENSION

作品数：61被引量：66H指数：5
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Cyclicity of elementary polycycles and ensembles with codimension 3 degeneration被引量：6
《Chinese Science Bulletin》1998年第22期1849-1864,共16页Liqin Zhao Weigu Li Zhifen Zhang 
theNationalNaturalScienceFoundationofChina (GrantNo .197710 0 7);theDoctoralProgramFoundationofInstitutionofHigherEducationofChina (GrantNo.96 0 0 0 15 4 )
The conjecture E(k)≤k is proved to be true if and only if k=1, 2, 3, where E(k) is the cyclicity of condimension k generic elementary polycycles. It is also proved that the cyclicity of any codimension 3 ensembles ex...
关键词：POLYCYCLE CYCLICITY finitely_smooth normal form Dulac map 
Uniqueness of limit cycles in codimension two bifurcations
《Chinese Science Bulletin》1995年第21期1766-1771,共6页韩茂安 
the National Natural Science Foundation of China.
Consider a three-dimensional autonomous system of the form of =f(u), u∈R^3, (0.1) where f(0)=0, and Df(0)=. By transforming eq. (0.1) into a normal form equation and then unfolding the truncated equation, one can obt...
关键词：UNIQUENESS LIMIT cycle HETEROCLINIC loop. 
Codimension One and Two Immersions of Grassmann Manifolds in Euclidean Spaces
《Chinese Science Bulletin》1993年第2期100-102,共0页唐梓洲 
1 Introduction Let Gm,n be the Grassmann manifold of the unoriented, m-dimensional vector subspaces of the vector space Rm+n. Then Gm,n is a closed, smooth manifold of dimension mn. G<...
关键词：GRASSMANN MANIFOLDS immersion. 
BOUNDING IMMERSION CLASSES OF CODIMENSION ONE
《Chinese Science Bulletin》1991年第24期2034-2037,共4页李邦河 李贵松 
Ⅰ. INTRODUCTION We are interested in the following problem of differential topology: Let W be a manifold with boundary M. When does an immersion f: M→X extend to an immersion of
关键词：bounding IMMERSION CODIMENSION ONE FRAMING BORDISM 
ON EXISTENCE OF HIGHER ORDER IMMERSIONS
《Chinese Science Bulletin》1991年第1期12-16,共5页李贵松 
Ⅰ. INTRODUCTIONThroughout this note, all manifolds are assumed to be smooth and closed. We refer to [1]—[3] for the definitions and basic properties of higher order tangent bundles and pth order nonsingular immersio...
关键词：HIGHER order IMMERSIONS EXISTENCE CODIMENSION n-2. 
CODIMENSION 1 AND 2 IMMERSIONS OF DOLD MANIFOLDS IN EUCLIDEAN SPACES
《Chinese Science Bulletin》1988年第3期182-185,共4页李邦河 
Project supported by the National Nacural Science Foundation of China
Ⅰ. INTRODUCTION Let P(m,n) be the Dold manifolds of dimensions m+2n, then the real and complex projective spaces are special Dold manifolds P(m,0)and P(0, n) respectively. Ucci has obtained a nonimmersion theorem for...
关键词：PROJECTIVE dimensions TRIVIAL bundle sending hence proof preserving nonzero RIEMANNIAN 
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