LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL EQUATION

LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL EQUATION

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摘要 We investigate the generalized polynomial Linard differential equations. Using the averaging theory of first and second order, we obtain the maximum number of limit cycles of the system. We investigate the generalized polynomial Linard differential equations. Using the averaging theory of first and second order, we obtain the maximum number of limit cycles of the system.

出处《Annals of Differential Equations》 2012年第2期127-131,共5页 微分方程年刊（英文版）

关键词 limit cycles Linard equation averaging theory limit cycles Linard equation averaging theory

分类号 O17 [理学—基础数学]

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2Sabrina Badi,Amar Makhlouf.LIMIT CYCLES OF A GENERALIZED LINARD DIFFERENTIAL EQUATION VIA AVERAGING THEORY[J].Annals of Differential Equations,2011,27(4):472-479.
3Zouhair Diab,Amar Makhlouf.LIMIT CYCLES TO A FOUR-DIMENSIONAL LINEAR CENTER[J].Annals of Differential Equations,2013,29(4):399-405.
4Amar Makhlouf,Meriem Hamamda.LIMIT CYCLES OF THIRD-ORDER DIFFERENTIAL EQUATION[J].Annals of Differential Equations,2014,30(4):416-423.
5Makhlouf Amar,Ouanas Nawel.LIMIT CYCLES OF PERTURBED LIENARD EQUATIONS[J].Annals of Differential Equations,2013,29(2):177-187.
6Y. Bouattia,A. Makhlouf.LIMIT CYCLES OF QUARTIC AND QUINTIC POLYNOMIAL DIFFERENTIAL SYSTEMS VIA AVERAGING THEORY[J].Annals of Differential Equations,2011,27(1):70-85.
7Amel Boulfoul,Amar Makhlouf.LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL SYSTEMS[J].Annals of Applied Mathematics,2016,32(3):221-233.

Annals of Differential Equations

2012年第2期

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LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL EQUATION

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