Quadratic perturbations of a quadratic reversible center of genus one

被引：1
|
作者：
Peng, Linping [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Math & Syst Sci, LIMB, Minist Educ, Beijing 100191, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Quadratic reversible and non-Hamiltonian system; genus one; period annulus; limit cycle; cyclicity; LIMIT-CYCLES; HAMILTONIAN-SYSTEMS; HILBERT PROBLEM; PERIOD ANNULI; BIFURCATIONS; CYCLICITY;
D O I：
10.1007/s11464-011-0155-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincar, disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.
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页码：911 / 930
页数：20
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