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	Cyclicity of elementary polycycles and ensembles with codimension 3 degeneration
	Zhao, LQ ; Li, WG ; Zhang, ZF
	1998
关键词	polycycle cyclicity finitely smooth normal form Dulac map HILBERTS 16TH PROBLEM VECTOR-FIELDS HYPERBOLIC POLYCYCLES FINITE CYCLICITY GRAPHICS FAMILIES PLANE
英文摘要	The conjecture E(k)less than or equal to 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 except ensembles with "lips" is less than or equal to 6. By the way, the methods usually used in the study of cyclicity of polycycles such as derivation division algorithm, Khovanskii procedure and the method of critical point analysis are introduced.; Multidisciplinary Sciences; SCI(E); 3; REVIEW; 22; 1849-1864; 43
语种	英语
出处	SCI
出版者	科学通报 英文版
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/215498]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhao, LQ,Li, WG,Zhang, ZF. Cyclicity of elementary polycycles and ensembles with codimension 3 degeneration. 1998-01-01.

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