Bursting Oscillations in Nonlinear Oscillators With Slowly Varying Excitation
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Дата
2016
Автори
ORCID
DOI
Науковий ступінь
Рівень дисертації
Шифр та назва спеціальності
Рада захисту
Установа захисту
Науковий керівник
Члени комітету
Видавець
NTU "KhPI"
Анотація
This 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.
Опис
Ключові слова
bursting, oscillations, slowly varying external excitation, hysteresis
Бібліографічний опис
Rakaric 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.