Limit Cycles of a Class of Polynomial Differential Systems Bifurcating from the Periodic Orbits of a Linear Center

被引：6

作者：

Menaceur, Amor ^{[1
]}

Boulaaras, Salah ^{[2
,3
]}

Alkhalaf, Salem ^{[4
]}

Jain, Shilpi ^{[5
]}

机构：

[1] Univ Guelma, Lab Anal & Control Differential Equat Aced, Dept Maths, POB 401, Guelma 24000, Algeria

[2] Al Rass Qassim Univ, Coll Sci & Arts, Dept Math, Buraydah 51452, Saudi Arabia

[3] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella 31000, Oran, Algeria

[4] Al Rass Qassim Univ, Coll Sci & Arts, Dept Comp Sci, Buraydah 51452, Saudi Arabia

[5] Poornima Coll Engn ISI 6, Dept Math, RIICO Inst Area, Sitapura Jaipur 302022, Rajasthan, India

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 08期

关键词：

existence; limit cycle; averaging method; Kukles system;

D O I：

10.3390/sym12081346

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we study the number of limit cycles of a new class of polynomial differential systems, which is an extended work of two families of differential systems in systems considered earlier. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first and second order.

引用

页码：1 / 15

页数：15

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