Stable periodic solutions in the forced pendulum equation

被引：0
作者：
Rafael Ortega
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada, Facultad de Ciencias
来源：
Regular and Chaotic Dynamics | 2013年 / 18卷
关键词：
Lyapunov stability; forced pendulum; prevalence; periodic solution; regular value; discriminant; 34D20; 34C15; 34C25; 37C25; 58K05;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：585 / 599
页数：14
相关论文
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