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

作     者：刘振海 E.Sáez I.Szántó 

作者机构：Department of MathematicsChangsha University of Sciences and Techndogy Departamento de MatemáticaUniversidad Tcnica Federico Santa MariaCasilla 110-VValparaisoChile 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2008年第28卷第4期

页      面：865-869页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：NNSF of China(10671211) NSF of Hunan Province(07JJ3005) USM(120628 and 120627) 

主　　题：Kukles system limit cycles invariant algebraic curves 

摘      要：In this article,the authors consider a class of Kukles planar polynomial differential system of degree three having an invariant *** this class of second-order differential systems,it is shown that for certain values of the parameters the invariant parabola coexists with a *** other values it can coexist with one,two or three small amplitude limit cycles which are constructed by Hopf *** result gives an answer for the question given in[4],about the existence of limit cycles for such class of system.