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
Publication statusPublished - Jan 25 1999
Externally publishedYes

Fingerprint

chaos
oscillators

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Controlling the onset of homoclinic chaos due to parametric noise. / Basios, V.; Bountis, T.; Nicolis, G.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 251, No. 4, 25.01.1999, p. 250-258.

Research output: Contribution to journalArticle

@article{4f1843848d664644b485563cef14c142,
title = "Controlling the onset of homoclinic chaos due to parametric noise",
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.",
keywords = "Control, Homoclinic chaos, Mel'nikov analysis, Parametric noise",
author = "V. Basios and T. Bountis and G. Nicolis",
year = "1999",
month = "1",
day = "25",
language = "English",
volume = "251",
pages = "250--258",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - Controlling the onset of homoclinic chaos due to parametric noise

AU - Basios, V.

AU - Bountis, T.

AU - Nicolis, G.

PY - 1999/1/25

Y1 - 1999/1/25

N2 - 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.

AB - 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.

KW - Control

KW - Homoclinic chaos

KW - Mel'nikov analysis

KW - Parametric noise

UR - http://www.scopus.com/inward/record.url?scp=0001764331&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001764331&partnerID=8YFLogxK

M3 - Article

VL - 251

SP - 250

EP - 258

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4

ER -