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	On the number of limit cycles bifurcating from a non-global degenerated center
	Gasull, Armengol ; Li, Chengzhi ; Liu, Changjian
	2007
关键词	Abelian integral limit cycle planar vector field degenerated center POLYNOMIAL VECTOR-FIELDS ELLIPTIC INTEGRALS SYSTEMS
英文摘要	We give an upper bound for the number of zeros of an Abelian integral. This integral controls the number of limit cycles that bifurcate, by a polynomial perturbation of arbitrary degree n, from the periodic orbits of the integrable system (1 + x) dH = 0, where H is the quasi-homogeneous Hamiltonian H(x, y) = x(2k)/(2k) + y(2)/2. The tools used in our proofs are the Argument Principle applied to a suitable complex extension of the Abelian integral and some techniques in real analysis. (c) 2006 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1; 268-280; 329
语种	英语
出处	SCI
出版者	数学分析与应用杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/251414]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gasull, Armengol,Li, Chengzhi,Liu, Changjian. On the number of limit cycles bifurcating from a non-global degenerated center. 2007-01-01.

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