The Existence and Stability of Positive Quasi-Periodic Solutions for the 3-Dimensional Lotka-Volterra System

被引：0

作者：

Gang HUANG ^{[1
]}

Wenbo LI ^{[1
]}

Shouxia LU ^{[1
]}

机构：

[1] School of Mathematical Sciences,Dalian University of Technology

来源：

Journal of Mathematical Research with Applications | 2013年 / 33卷 / 06期

关键词：

Lotka-Volterra system; positive quasi-periodic solution; KAM theory; Newton iteration; Lyaponov function;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This work focuses on the existence and stability of positive quasi-periodic solutions for the 3-dimensional Lotka-Volterra system.Using KAM(Kolmogorov-Arnold-Moser) theory and Newton iteration,it is shown that there exists a positive quasi-periodic solution in a Cantor family for the 3-dimensional Lotka-Volterra system.On the above basis,we can show the stability of the solution with the help of Lyapunov function.

引用

页码：683 / 698

页数：16

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