Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Complicated behavior and mechanism of Chen system with slowly variable control

Zhang Xiao-Fang Han Qing-Zhen Chen Xiao-Ke Bi Qin-Sheng

Complicated behavior and mechanism of Chen system with slowly variable control

Zhang Xiao-Fang, Han Qing-Zhen, Chen Xiao-Ke, Bi Qin-Sheng
PDF
Get Citation
Metrics
  • Abstract views:  329
  • PDF Downloads:  499
  • Cited By: 0
Publishing process
  • Received Date:  04 May 2014
  • Accepted Date:  22 May 2014
  • Published Online:  20 September 2014

Complicated behavior and mechanism of Chen system with slowly variable control

  • 1. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 21276115).

Abstract: Since most of the work relevant to the control of Chen system is based on the same time scale, and the results associated with the coupled systems with two time scales are mainly for the cases with only one slow variable, in this paper we investigate the dynamical evolution of the Chen system with the controller described by Duffing oscillator on a slow time scale, which implies two slow variables may be involved in the coupled vector field. Different types of bursting oscillations such as the symmetric fold/fold bursting, symmetric fold/Hopf bursting, symmetric homoclinic/homoclinic bursting, and mechanism are presented, revealing that the mutual influence between the two slow variables may cause the bursting behaviors similar to those in the periodic excited systems.

Reference (15)

Catalog

    /

    返回文章
    返回