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

页码：2213 / 2224

页数：12

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