Bursting Oscillations in Nonlinear Oscillators With Slowly Varying Excitation

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dc.contributor.authorRakaric, Zvonkoen
dc.contributor.authorKovacic, Ivanaen
dc.date.accessioned2016-11-24T08:17:23Z
dc.date.available2016-11-24T08:17:23Z
dc.date.issued2016
dc.description.abstractThis work represents the extension of a recently published paper by the authors, where mechanical manifestations of bursting oscillations in slowly rotating systems are presented. One of these mechanical systems consists of a mass moving along a slowly rotating frame, which creates a slowly varying external excitation. Here, the aim is to link its mathematical model with Izhikevich’s methodology and classification for bursting oscillations. In this respect, the existence of a ’fold – fold’ hysteresis loop of a point-point type burster is recognised and explained in detail. Thus, in the system considered, bursting oscillations occur becouse the rate of convergence between the branches of the slow flow is relatively weak. The influence of some system’s parametrs on the characteristics of fast motion is illustrated.en
dc.identifier.citationRakaric Z. Bursting Oscillations in Nonlinear Oscillators With Slowly Varying Excitation / Z. Rakaric, I. Kovacic // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 200-207.en
dc.identifier.urihttps://repository.kpi.kharkov.ua/handle/KhPI-Press/24862en
dc.language.isoen
dc.publisherNTU "KhPI"en
dc.subjectburstingen
dc.subjectoscillationsen
dc.subjectslowly varying external excitationen
dc.subjecthysteresisen
dc.titleBursting Oscillations in Nonlinear Oscillators With Slowly Varying Excitationen
dc.typeArticleen

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Nonlinear Dynamics–2016