Two Non Algebraic Limit Cycles of a Class of Polynomial Differential Systems with Non-Elementary Equilibrium Point
| Autor: | Sabah Benadouane, Aziza Berbache, Ahmed Bendjeddou |
|---|---|
| Rok vydání: | 2021 |
| Zdroj: | Tatra Mountains Mathematical Publications. 79:33-46 |
| ISSN: | 1338-9750 |
| DOI: | 10.2478/tmmp-2021-0018 |
| Popis: | 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 ∈ 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|