QUASI-PERIODIC SOLUTIONS AND SUB-HARMONIC BIFURCATION OF DUFFING'S EQUATIONS WITH QUASI-PERIODIC PERTURBATION

被引：0

作者：

许鹏程

井竹君

机构：

来源：

Acta Mathematicae Applicatae Sinica | 1999年 / 04期

关键词：

Duffing’s equation; quasi-periodic perturbation; quasi-periodic solutions; sub-harmonic bifurcation curves;

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：

The quasi-periodic perturbation for the Duffing’s equation with two external forcing terms has been discussed. The second order averaging method and sub-harmonic Melnikov’s method through the medium of the averaging mrthod have been applied to detect the existence of quasiperiodic solutions and sub-harmonic bifurcation for the system. Sub-harmonic bifurcation curves are given by using numerical computation for sub-harmonic Melnikov’s function.

引用

页码：374 / 384

页数：11