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	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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