Bifurcation in a nonlinear duffing system with multi-frequency external periodic forces

被引：0

作者：

Bi, QS ^{[1
]}

Chen, YS ^{[1
]}

Wu, ZQ ^{[1
]}

机构：

[1] Tianjin Univ, Dept Mech, Tianjin 300072, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1998年 / 19卷 / 02期

关键词：

nonlinear frequency; Floquet theory; bifurcation; chaos; Duffing system with multi-frequency external periodic forces;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing nonlinear frequency, using Floquet theory and referring to the characteristics of the solution when it passes through the transition boundaries, all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitations as well as the possible ways to chaos are studied in this paper.

引用

页码：121 / 128

页数：8

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