LIMIT CYCLES FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS AND DUFFING EQUATIONS

LIMIT CYCLES FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS AND DUFFING EQUATIONS

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摘要 By the averaging method of frst order, we study in this work the limit cycles for a class of second order diferential equations and Dufng diferential equations which can be seen as a particular perturbation of the harmonic oscillator. By the averaging method of frst order, we study in this work the limit cycles for a class of second order diferential equations and Dufng diferential equations which can be seen as a particular perturbation of the harmonic oscillator.

作者 Amar Makhlouf Fatima Touati

机构地区 Dept. of Math.

出处《Annals of Differential Equations》 2013年第4期443-455,共13页 微分方程年刊（英文版）

关键词 averaging method Dufng diferential equation periodic solution limit cycle averaging method Dufng diferential equation periodic solution limit cycle

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2013年第4期

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LIMIT CYCLES FOR A CLASS OF SECOND ORDER DIFFERENTIAL EQUATIONS AND DUFFING EQUATIONS

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