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https://elib.bsu.by/handle/123456789/223924| Title: | Функция Дюлака-Черкаса в задаче оценки числа и локализации предельных циклов системы Куклеса специального вида |
| Authors: | Кузьмич, А. В. Гринь, А. А. |
| Issue Date: | 2014 |
| Publisher: | Минск : Изд. центр БГУ |
| Citation: | Сборник научных работ студентов Республики Беларусь "НИРС 2013" / редкол. : А. И. Жук (пред.) [и др.]. - Минск : Изд. центр БГУ, 2014. - С. 24-25 |
| Abstract (in another language): | In this paper we consider an real generalized Kukles system where the derivative y represents a polynomial of the fifth degree concerning a phase variable у. Factors of this polynomial smoothly depend on a phase variable x and continuously depend on parameter μ . At zero value of parameter considered Kukles system is a linear conservative system. The subject of investigation is the limit cycles bifurcating under a perturbation of a conservative system. The place of Dulac-Cherkas function and Pontrjagin’s criterion in a solution of a problem of limit cycles number and their localization is uncovered. The research objective is to work out an approach to the problem of existence of the limit cycle based on Dulac-Cherkas function and Pontrjagin’s criterion. The derived results can be applied in the qualitative theory and theory of bifurcations of ordinary differential equations as well as in the theory of nonlinear oscillations |
| URI: | http://elib.bsu.by/handle/123456789/223924 |
| ISBN: | 978-985-553-227-0 |
| Appears in Collections: | Сборник научных работ студентов Республики Беларусь "НИРС 2013" |
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