On the Limit Cycles of a Class of Generalized Kukles Polynomial Differential Systems via Averaging Theory

AmarMakhlouf; AmorMenaceur

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On the Limit Cycles of a Class of Generalized Kukles Polynomial Differential Systems via Averaging Theory

机译：基于平均理论的一类广义Kukles多项式微分系统的极限环

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摘要

We apply the averaging theory of first and second order to a class of generalized Kukles polynomial differential systems to study the maximum number of limit cycles of these systems.

机译：我们将一阶和二阶平均理论应用于一类广义Kukles多项式微分系统，以研究这些系统的极限环的最大数目。

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《International Journal of Differential Equations》 |2015年第1期|共10页
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AmarMakhlouf; AmorMenaceur;
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中图分类计量学;
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1. On the Limit Cycles of a Class of Generalized Kukles Polynomial Differential Systems via Averaging Theory [J] . Amar Makhlouf, Amor Menaceur International Journal of Differential Equations . 2015,第Null期

机译：基于平均理论的一类广义Kukles多项式微分系统的极限环
2. Maximum Number of Limit Cycles for Generalized Kukles Polynomial Differential Systems [J] . Nawal Mellahi, Amel Boulfoul, Amar Makhlouf Differential equations and dynamical systems . 2019,第4期

机译：广义Kukles多项式差分系统的最大限制周期数
3. Limit cycles for generalized Kukles polynomial differential systems [J] . Llibre J., Mereu A.C. Nonlinear Analysis: An International Multidisciplinary Journal . 2011,第4期

机译：广义Kukles多项式微分系统的极限环。
4. Centers and limit cycles in polynomial systems of ordinary differential equations [C] . Valery G. Romanovski, Douglas S. Shafer School on Real and Complex Singularities . 2016

机译：常微分方程多项式系统中的中心和极限循环
5. On the maximum number of limit cycles of certain polynomial Lienard equations. [D] . Yao, Leummim. 1995

机译：关于某些多项式Lienard方程的极限环的最大数目。
6. On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations [O] . Yuhai Wu, Jingjing Zhou -1

机译：一类平面奇异摄动微分方程的极限环
7. Centers and Limit Cycles of Generalized Kukles Polynomial Differential Systems: Phase Portraits and Limit Cycles [O] . Ahlam Belfar, Rebiha Benterki 2020

机译：广义kukles多项式差分系统的中心和极限循环：相位肖像和极限循环
8. Co-Existence of Centers and Limit Cycles in Polynomial Systems [R] . Kooij, R. E., Zegeling, A. 1996

机译：多项式系统中心和极限环的共存

On the Limit Cycles of a Class of Generalized Kukles Polynomial Differential Systems via Averaging Theory

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