Chaos prediction in the Duffing-type system with non-smooth periodic perturbation and bounded parametric excitation

Yu Jun Niu, Wei Xu, Hai Wu Rong, Liang Wang, Jin Qian Feng

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.

Original languageEnglish
Pages (from-to)7535-7540
Number of pages6
JournalWuli Xuebao/Acta Physica Sinica
Volume57
Issue number12
StatePublished - Dec 2008

Keywords

  • Bounded noise
  • Maximal Lyapunov exponents
  • Non-smooth dynamics
  • Stochastic Melnikov function

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