CYCLICITY OF SEVERAL QUADRATIC REVERSIBLE SYSTEMS WITH CENTER OF GENUS ONE | |
Chen, Long ; Ma, Xianzhong ; Zhang, Gemeng ; Li, Chengzhi | |
2011 | |
关键词 | Cyclicity of period annulus Quadratic reversible center of genus one Abelian integrals Chebyshev property |
英文摘要 | By using the Chebyshev criterion to study the number of zeros of Abelian integrals, developed by M. Grau, F. Manosas and J. Villadelprat in [2], we prove that the cyclicity of period annulus of the quadratic reversible systems with center of genus one, classified as (r8), (r13) and (r16) by S. Gautier, L. Gavrilov and I. D. They in [1], under quadratic perturbations is two. These results partially give a positive answer to the conjecture 1 in [1].; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000209117700002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); 4; ARTICLE; 4; 439-447; 1 |
语种 | 英语 |
出处 | SCI |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/395113] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Chen, Long,Ma, Xianzhong,Zhang, Gemeng,et al. CYCLICITY OF SEVERAL QUADRATIC REVERSIBLE SYSTEMS WITH CENTER OF GENUS ONE. 2011-01-01. |
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