摘要
在二阶系统一系列定理基础上,建立一个直接根据系统Lyapunov函数性质判定系统周期解存在性的定理,针对一类二阶非自治非线性系统构造了适当的Lyapunov函数,并研究了这类系统周期解的存在性。
On the basis of several theorems concerning the second order system and directly based on the properties of systematic Lyapunov function, we establish an existence theorem which may be used to distinguish the existenceness of periodic solution, then, in accordance with a kind of second order nonautonomous and nonlinear systems, we construct some suitable Lyapunov function and study the existence property of periodic solution of these system.
出处
《中国科学院研究生院学报》
CAS
CSCD
1997年第1期1-7,共7页
Journal of the Graduate School of the Chinese Academy of Sciences
关键词
正定
周期解
非自治系统
李雅普洛夫函数
Lyapunov function, positive definite, indefinite, periodic solution
