Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System

He Shanghong; Xie Jin; Cheng Jiefeng; Cui Qingyu

doi:10.16578/j.issn.1004.2539.2015.08.001

您当前的位置：

首页 >

文章列表页 >

Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System

更新时间：2022-10-20

- Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System
- Vol. 39, Issue 8, Pages: 1-4(2015)
- 作者机构：
  
  1. 西南交通大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2015.08.001
  CLC：
扫描看全文
[1]贺尚宏,谢进,程杰锋,崔清雨.非线性单摆动力系统多参数混沌边缘的研究[J].机械传动,2015,39(08):1-4.

He Shanghong, Xie Jin, Cheng Jiefeng, et al. Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System. [J]. 39(8):1-4(2015)
[1]贺尚宏,谢进,程杰锋,崔清雨.非线性单摆动力系统多参数混沌边缘的研究[J].机械传动,2015,39(08):1-4. DOI： 10.16578/j.issn.1004.2539.2015.08.001.

He Shanghong, Xie Jin, Cheng Jiefeng, et al. Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System. [J]. 39(8):1-4(2015) DOI： 10.16578/j.issn.1004.2539.2015.08.001.

摘要

利用Melnikov方法,通过计算Melnikov函数,建立了非线性单摆系统产生混沌的必要条件,得到了非线性单摆系统多参数的混沌边缘,并通过分岔图、相图、时域波形图以及最大Lyapunov指数等方法验证了所得结论的正确性。通过示例说明,利用所得到的结论可以很方便地设计出实现周期运动的非线性单摆。

Abstract

By using Melnikov method,the necessary condition of the chaotic motion is established through the calculation of Melnikov function. Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diagram,time domain waveform,and maximum Lyapunov exponent. It is demonstrated that,by using the obtained results can provide a convenient means to design a nonlinear simple pendulum with periodic motion.

关键词

Melnikov函数非线性单摆多参数混沌边缘

Keywords

references

Views

301

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰