CRITICAL PERIODS OF THIRD-ORDER PLANAR HAMILTONIAN SYSTEMS

被引：15
|
作者：
Yu, Pei [1 ,2 ]
Han, Maoan [1 ]
Zhang, Jizhou [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 07期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
Critical periods; Hamiltonian system; center; normal form; HILBERTS 16TH PROBLEM; 12; LIMIT-CYCLES; VECTOR-FIELDS; CUBIC SYSTEMS; BIFURCATION; COMPUTATION;
D O I：
10.1142/S0218127410027040
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the critical periods of third-order planar Hamiltonian systems. It is assumed that the origin of the system is a center. With the aid of symbolic and numerical computations, we show the existence of seven local critical periods. This is the maximal number of local critical periods that a cubic Hamiltonian system can have.
引用
收藏
页码：2213 / 2224
页数：12
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