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	The third order Melnikov function of a quadratic center under quadratic perturbations
	Buica, Adriana ; Gasull, Armengol ; Yang, Jiazhong
	2007
关键词	quadratic systems limit cycles bifurcation high order Melnikov functions LIMIT-CYCLES SYSTEMS
英文摘要	We study quadratic perturbations of the integrable system (1 + x) dH, where H = (x(2) + y(2))/2. We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles. (C) 2006 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000245870800033&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 10; ARTICLE; 1; 443-454; 331
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/20.500.11897/250208]
专题	数学科学学院
推荐引用方式 GB/T 7714	Buica, Adriana,Gasull, Armengol,Yang, Jiazhong. The third order Melnikov function of a quadratic center under quadratic perturbations. 2007-01-01.

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