Qualitative Study of a Class of Quartic Differential System with an Unstable Node
R Allaoua, R Cheurfa… - … Conference on Recent …, 2021 - ieeexplore.ieee.org
R Allaoua, R Cheurfa, A Bendjeddou
2021 International Conference on Recent Advances in Mathematics …, 2021•ieeexplore.ieee.orgIn this paper, we introduce a class of quartic differential system from the integrability and the
existence of limit cycle. We show that this class is integrable and we give the explicit
expression of first integral. After this, we prove, under suitable conditions on the parameters,
that this class admits a non-algebraic limit cycle surrounding an unstable node. Concerning
the singular points at infinity, we show that there is only one singular point. As an illustration,
a phase portrait is drawn at the end of this paper. Mathematics Subject Classification …
existence of limit cycle. We show that this class is integrable and we give the explicit
expression of first integral. After this, we prove, under suitable conditions on the parameters,
that this class admits a non-algebraic limit cycle surrounding an unstable node. Concerning
the singular points at infinity, we show that there is only one singular point. As an illustration,
a phase portrait is drawn at the end of this paper. Mathematics Subject Classification …
In this paper, we introduce a class of quartic differential system from the integrability and the existence of limit cycle. We show that this class is integrable and we give the explicit expression of first integral. After this, we prove, under suitable conditions on the parameters, that this class admits a non-algebraic limit cycle surrounding an unstable node. Concerning the singular points at infinity, we show that there is only one singular point. As an illustration, a phase portrait is drawn at the end of this paper.Mathematics Subject Classification: 34A05, 34C05, 34C07, 34C25.
ieeexplore.ieee.org
以上显示的是最相近的搜索结果。 查看全部搜索结果