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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