HOPF BIFURCATION AND UNIQUENESS OF LIMIT CYCLE FOR A CLASS OF QUARTIC SYSTEM  

作　　者：Zhan Qingyi Xie Xiangdong Wu Chengqiang Qiu Shulin 

机构地区：[1]Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ., Fuzhou 350002, China. [2]Dept. of Math., Ningde Normal College, Ningde 352100, China. [3]College of Math. and Comput. Sci., Fuzhou Univ., Fuzhou 350002, China. [4]Dept. of Math., Gannan Normal College, Ganzhou 341000, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2007年第4期388-392,共5页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the Natural Science Foundation of Fujian Province(Z0511052,2006J0209);the Foundation of Fujian Education Department(JA04158,JA04274)and the Foundation of Developing ScienceTechnology of Fuzhou University(2005-QX-20)

摘　　要：This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system （＊） and some more in-depth conclusion such as Hopf bifurcation.This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system （＊） and some more in-depth conclusion such as Hopf bifurcation.

关 键 词：accompanying system  bifurcation limit cycle uniqueness. 

分 类 号：O153.3[理学—数学]