Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point

Rok, strany: 2021, 33 - 46

The problems of existence of limit cycles and their numbers are the most difficult problems in the dynamical planar systems. In this paper, we study the limit cycles for a family of polynomial differential systems of degree $6k+1$, $k\in \mathbb{N}^*$, with the non-elementary singular point. Under some suitable conditions, we show our system exhibiting two non algebraic or two algebraic limit cycles explicitly given. To illustrate our results we present some examples.

ISO 690:

Benadouane, S., Berbache, A., Bendjeddou, A. 2021. Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point. In Tatra Mountains Mathematical Publications, vol. 79, no.2, pp. 33-46. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0018

APA:

Benadouane, S., Berbache, A., Bendjeddou, A. (2021). Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point. Tatra Mountains Mathematical Publications, 79(2), 33-46. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0018

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/