LIMIT CYCLES AND INVARIANT PARABOLA IN A KUKLES SYSTEM OF DEGREE THREE

查看全文 作　　者：[1]刘振海;E.Sáez [2]I.Szántó

机构地区：[1]Department of Mathematics,Changsha University of Sciences and Techndogy;[2]Departamento de Matemática,Universidad Tcnica Federico Santa Maria,Casilla 110-V,Valparaiso,Chile

出　　处：《Acta Mathematica Scientia》索引2008年第28卷第4期,共5页

基　　金：NNSF of China(10671211);NSF of Hunan Province(07JJ3005);USM(120628 and 120627) 摘　　要：In this article,the authors consider a class of Kukles planar polynomial differential system of degree three having an invariant parabola.For this class of second-order differential systems,it is shown that for certain values of the parameters the invariant parabola coexists with a center.For other values it can coexist with one,two or three small amplitude limit cycles which are constructed by Hopf bifurcation.This result gives an answer for the question given in[4],about the existence of limit cycles for such class of system. 关键词：极限值循环不变式代数曲线数学分析限制值

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LIMIT CYCLES AND INVARIANT PARABOLA IN A KUKLES SYSTEM OF DEGREE THREE

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