Isochronicity and linearizability of planar polynomial Hamiltonian systems

被引：15

作者：

Llibre, Jaume ^{[1
]}

Romanovski, Valery G. ^{[2
,3
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

[3] Univ Maribor, Fac Nat Sci & Math, SI-2000 Maribor, Slovenia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 05期

关键词：

Isochronous centers; Hamiltonian systems; PERIOD FUNCTION; CENTERS; NONLINEARITIES; LINEARIZATION;

D O I：

10.1016/j.jde.2015.03.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study isochronicity and linearizability of planar polynomial Hamiltonian systems. First we prove a theorem which supports a negative answer to the following open question stated by Jarque and Villadelprat in [15]: Do there exist planar polynomial Hamiltonian systems of even degree having an isochronous center? Additionally we obtain some conditions for linearizability of complex cubic Hamiltonian systems. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1649 / 1662

页数：14

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