On the Global Nilpotent Centers of Cubic Polynomial Hamiltonian Systems

被引：2
|
作者：
Barreira, Luis [1 ]
Llibre, Jaume [2 ]
Valls, Claudia [1 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal
[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年 / 32卷 / 04期
基金：
欧盟地平线“2020”;
关键词：
Center; Global center; Hamiltonian system; Symmetry with respect to the y-axis; Cubic polynomial differential system;
D O I：
10.1007/s12591-022-00606-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A global center for a vector field in the plane is a singular point p having R-2 filled of periodic orbits with the exception of the singular point p. Polynomial differential systems of degree 2 have no global centers. In this paper we classify the global nilpotent centers of planar cubic polynomial Hamiltonian systems symmetric with respect to the y-axis.
引用
收藏
页码：1001 / 1011
页数：11
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