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
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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