Characterising the dynamic behaviour of two-well oscillators excited at low frequency: numerical insights

M. Zuković, I. Kovačić, M.P. Cartmell

Research output: Contribution to journalArticle

Abstract

It is shown in this paper that the harmonically excited two-well bistable oscillator, for which the excitation frequency is definitionally low, exhibits bursting oscillations for low values of damping and relaxation oscillations for high damping values. It is also shown that the region for mixed-mode oscillations can extend for increasing value of the nonlinear coefficient. The paper examines the thresholding cases for transitions between such regimes by means of bifurcation analysis within a parametric study specifically designed to prioritise the phenomenology present at low excitation frequencies.
Translated title of the contributionCharacterising the dynamic behaviour of two-well oscillators excited at low frequency: numerical insights
LanguageOther
Pages34-46
Number of pages13
JournalJournal of the Serbian Society for Computational Mechanics
Volume9
Issue number2
DOIs
Publication statusPublished - 2015

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Keywords

  • two-well oscillator
  • small frequency
  • bursting
  • relaxation oscillations
  • chaos

Cite this

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abstract = "It is shown in this paper that the harmonically excited two-well bistable oscillator, for which the excitation frequency is definitionally low, exhibits bursting oscillations for low values of damping and relaxation oscillations for high damping values. It is also shown that the region for mixed-mode oscillations can extend for increasing value of the nonlinear coefficient. The paper examines the thresholding cases for transitions between such regimes by means of bifurcation analysis within a parametric study specifically designed to prioritise the phenomenology present at low excitation frequencies.",
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Odlike dinamičkog ponašanja dvojnih oscilatora sa niskom frekvencijom pobuđenosti : numerički uvidi. / Zuković, M.; Kovačić, I.; Cartmell, M.P.

In: Journal of the Serbian Society for Computational Mechanics, Vol. 9, No. 2, 2015, p. 34-46.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Odlike dinamičkog ponašanja dvojnih oscilatora sa niskom frekvencijom pobuđenosti

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AU - Kovačić, I.

AU - Cartmell, M.P.

PY - 2015

Y1 - 2015

N2 - It is shown in this paper that the harmonically excited two-well bistable oscillator, for which the excitation frequency is definitionally low, exhibits bursting oscillations for low values of damping and relaxation oscillations for high damping values. It is also shown that the region for mixed-mode oscillations can extend for increasing value of the nonlinear coefficient. The paper examines the thresholding cases for transitions between such regimes by means of bifurcation analysis within a parametric study specifically designed to prioritise the phenomenology present at low excitation frequencies.

AB - It is shown in this paper that the harmonically excited two-well bistable oscillator, for which the excitation frequency is definitionally low, exhibits bursting oscillations for low values of damping and relaxation oscillations for high damping values. It is also shown that the region for mixed-mode oscillations can extend for increasing value of the nonlinear coefficient. The paper examines the thresholding cases for transitions between such regimes by means of bifurcation analysis within a parametric study specifically designed to prioritise the phenomenology present at low excitation frequencies.

KW - two-well oscillator

KW - small frequency

KW - bursting

KW - relaxation oscillations

KW - chaos

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DO - 10.5937/jsscm1502034Z

M3 - Article

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JO - Journal of the Serbian Society for Computational Mechanics

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