Stable Hyperbolic Limit Cycles for a Class of Differential Systems

被引：0
作者：
Hamizi, S. E. [1 ]
Boukoucha, R. [1 ]
机构：
[1] Univ Bejaia, Fac Exact Sci, Dept Math, Lab Appl Math, Bejaia 06000, Algeria
来源：
RUSSIAN MATHEMATICS | 2021年 / 65卷 / 09期
关键词：
Hilbert 16th problem; dynamical system; limit cycle; invariant algebraic curve; first integral;
D O I：
10.3103/S1066369X21090061
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce an explicit expression of invariant algebraic curves for a class of polynomial differential systems, then we introduce an explicit expression of its first integral. Moreover, we determine sufficient conditions for these systems to possess a limit cycle, which can be expressed by an explicit formula. Concrete examples exhibiting the applicability of our results are introduced.
引用
收藏
页码：41 / 51
页数：11
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