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

Melnikov chaos in Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations

Feng Jun Xu Wei Gu Ren-Cai Di Gen-Hu

Melnikov chaos in Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations

Feng Jun, Xu Wei, Gu Ren-Cai, Di Gen-Hu
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

Metrics
  • Abstract views:  4081
  • PDF Downloads:  822
  • Cited By: 0
Publishing process
  • Received Date:  04 March 2011
  • Accepted Date:  19 April 2011
  • Published Online:  15 September 2011

Melnikov chaos in Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations

  • 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

Abstract: In this paper,the dynamic behavior of Duffing-Rayleigh oscillator subjected to combined bounded noise and harmonic excitations is investigated. Theoretically, the random Melnikov's method is used to establish the conditions of existence of chaotic motion. The result implies that the chaotic motion of the system turns into the periodic motion with the increase of nonlinear damping parameter, and the threshold of random excitation amplitude for the system to change from chaotic to periodic motion in the oscillator turns from increasing to constant as the intensity of the noise increases. Numerically,the largest Lyapunov exponents and the Poincare maps are also used for verifying the conclusion.

Reference (19)

Catalog

    /

    返回文章
    返回