On the number of critical periods for planar polynomial systems of arbitrary degree

被引：20
|
作者：
Gasull, Armengol [2 ]
Liu, Changjian [1 ]
Yang, Jiazhong [3 ]
机构：
[1] Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 03期
关键词：
Reversible center; Period function; Hilbert's 16th problem; Critical periods; VECTOR-FIELDS; LIMIT-CYCLES; BIFURCATION; EQUATIONS; CENTERS;
D O I：
10.1016/j.jde.2010.01.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a class of planar systems of arbitrary degree n having a reversible center at the origin and such that the number of critical periods on its period annulus grows quadratically with n. As far as we know, the previous results on this subject gave systems having linear growth. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：684 / 692
页数：9
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