Stable periodic solutions in the forced pendulum equation

被引：7

作者：

Ortega, Rafael ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

REGULAR & CHAOTIC DYNAMICS | 2013年 / 18卷 / 06期

关键词：

Lyapunov stability; forced pendulum; prevalence; periodic solution; regular value; discriminant; STABILITY; SYSTEMS; POINTS;

D O I：

10.1134/S1560354713060026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider the pendulum equation with an external periodic force and an appropriate condition on the length parameter. It is proved that there exists at least one stable periodic solution for almost every external force with zero average. The stability is understood in the Lyapunov sense.

引用

页码：585 / 599

页数：15