Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance

被引：0
|
作者：
Qihuai Liu
Pedro J. Torres
Dingbian Qian
机构：
[1] Fudan University,School of Mathematical Sciences
[2] Guilin University of Electronic Technology,School of Mathematics and Computing Science
[3] Universidad de Granada,Departamento de Matemáptica Aplicada, Facultad de Ciencias
[4] Soochow University,School of Mathematical Sciences
来源：
Nonlinear Differential Equations and Applications NoDEA | 2015年 / 22卷
关键词：
34C25; 34B15; Resonance; Unbounded solution; Quasi-periodic solution; Periodic solution; Isochronous system;
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学科分类号：
摘要：
In this paper, we are concerned with periodic solutions, quasi-periodic solutions and unbounded solutions for radially symmetric systems with singularities at resonance, which are 2π-periodic in time. The method is based on the qualitative analysis of Poincaré map with action-angle variables. The existence of infinitely many periodic and quasi-periodic solutions or unbounded motions depends on the oscillatory properties of a certain function.
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页码：1115 / 1142
页数：27
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