Periodic solutions of perturbed isochronous hamiltonian systems at resonance

被引：19

作者：

Fabry, C

Fonda, A

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, I-34127 Trieste, Italy

[2] Univ Catholique Louvain, Inst Math, B-1348 Louvain, Belgium

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 214卷 / 02期

关键词：

periodic solution; hamiltonian systems; topological degree;

D O I：

10.1016/j.jde.2005.02.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We look for periodic solutions of planar systems obtained by adding an asymptotically positively homogeneous nonlinear term to an isochronous hamiltonian system. Precise computations of the topological degree are obtained by elementary phase-plane analysis. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：299 / 325

页数：27

共 14 条

[1] Roots of unity and unbounded motions of an asymmetric oscillator [J].