Controlling the onset of homoclinic chaos due to parametric noise

V. Basios, T. Bountis, G. Nicolis

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The effect of parametric noise on the properties of a periodically forced, damped nonlinear oscillator is investigated at the onset of chaos, at parameter values of homoclinic tangency. A Mel'nikov type analysis shows that the Fourier spectrum of the noise controls the width of the chaotic layer thus produced.

Original languageEnglish
Pages (from-to)250-258
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume251
Issue number4
DOIs
Publication statusPublished - Jan 25 1999

Keywords

  • Control
  • Homoclinic chaos
  • Mel'nikov analysis
  • Parametric noise

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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