On The Maximum Number Of Limit Cycles Of Generalized Polynomial Liénard Differential Systems Via Averaging Theory*
| dc.contributor.author | Boulfoul , Amel | |
| dc.contributor.author | Mellahi , Nawal | |
| dc.date.accessioned | 2025-11-11T09:26:46Z | |
| dc.date.available | 2025-11-11T09:26:46Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this paper, we apply the averaging theory of rst and second order for studying the limit cycles of generalized polynomial Liénard systems of the form x = y - l(x)y, y = -x - f(x) - g(x)y - h(x)y2 - p(x)y3 , where l(x) = ϵl1(x) + ϵ2l2(x) , f(x) = f1(x) + ϵ2f2(x) , g(x) = ϵg1(x) + ϵ2g2(x) ,h(x) = ϵh1(x) + 2h2(x) and p(x) = ϵp1(x) + ϵ2p2(x)where lᴷ(x) has degree m , fᴷ(x) , gᴷ(x),hᴷ(x) and pᴷ(x) have degree n for each k = 1, 2, and ϵ is a small parameter. | |
| dc.identifier.uri | http://dspace.univ-skikda.dz:4000/handle/123456789/5363 | |
| dc.language.iso | en | |
| dc.publisher | Applied Mathematics E-Notes, 20(2020), 167-187 | |
| dc.title | On The Maximum Number Of Limit Cycles Of Generalized Polynomial Liénard Differential Systems Via Averaging Theory* | |
| dc.type | Article |