摘要
讨论一类Cr 系统dx/dt =- y +x (x2 +y2 - 1) k+λxf1(x ,y) dy/dt=x +y (x2 +y2 -1) k+λyf2 (x ,y)的闭轨分支问题 ,借助后继函数的零点 ,得到其单重极限环产生极限环的唯一性 。
In this paper, the bifurcation of closed orbit for a class of C r system dx/dt=-y+x(x 2+y 2-1) k+λxf 1(x,y) dy/dt=x+y(x 2+y 2-1) k+λyf 2(x,y) is discussed. By using the zero point of the returned function, the uniqueness of limit cycle bifurcated from the simple limit cycle is obtained and for the detailed results, a sufficient condition is also obtained to guarantee that the multiple limit cycle can produce two limit cycles with f i(x,y) being given specially.
出处
《山东科技大学学报（自然科学版）》
CAS
2001年第1期13-16,共4页
Journal of Shandong University of Science and Technology(Natural Science)
