多频激励Duffing系统的分岔和混沌<sup>*</sup>

毕勤胜; 陈予恕; 吴志强

多频激励Duffing系统的分岔和混沌^*

天津大学力学与工程测试系, 天津 300072

基金项目: *国家自然科学基金;博士点基金

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出版历程
- 收稿日期: 1995-04-15
- 修回日期: 1996-06-30
- 刊出日期: 1998-02-15

Bifurcation in a Nonlinear Duffing System with Multi-Frequency External Periodic Forces

Department of Mechanics, Tianjing University, Tianjin 300072, P. R. China

摘要

摘要: 本文通过引入非线性频率,利用Floquet理论及解通过转迁集时的特性,研究了不可通约两周期激励作用下的Dufing方程在一次近似下的各种分岔模式及其转迁集,并指出其通向混沌可能的途径.
- 非线性频率 /
- Floquet理论 /
- 分岔 /
- 混沌 /
- 多频激励Duffing系统
Abstract: By introducing nonlinear frequency,using Floquel theory and referring to the characteristics of the solution when it passes through the transition bounaries all kinds of bifurcation modes and their transition boundaries of Duffing equation with two periodic excitatins as well as the possible ways to chaos are studied in this paper.
- nonlinear frequency /
- Floquet theory /
- bifrucation /
- chaos /
- Duffing system with multi-frequency external periodic forces

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参考文献(18)

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