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The Poincaré Bifurcation of a Class of Planar Hamiltonian Systems
被引：2
作者：
宋燕
机构：
[1] DepartmentofMathematicsBohaiUniversity,Jinzhou,LiaoningProvince,
关键词：
periodic region;
Hamiltonian system;
Poincare bifurcation;
limit cycle;
D O I：
10.13447/j.1674-5647.2006.02.008
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
<正>In this paper, we discuss the Poincare bifurcation of a class of Hamiltonian systems having a region consisting of periodic cycles bounded by a parabola and a straight line. We prove that the system can generate at most two limit cycles and may generate two limit cycles after a small cubic polynomial perturbation.
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页码：167 / 172
页数：6
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