Abstract：In this paper, the quadratic-like cubic systems dxdt=y+a_1x~2+(a_2+2b_1)xy+(a_3-a_1)y~2+xf(x,y),dydt=-x+b_1x~2+(b_2-2a_1)xy-b_1y~2+yf(x,y), (1)in which f(x,y)=a_4x~2+a_5xy+(a_6-a_4)y~2 is considered. N.G.Lloyd and C.J.Christopher et al.studied the sufficient conditions for that, the origin of the system(1) is a center. Our interest is the coexistence of two centers for the system(1). The conditions for the system(1) to have two centers is also briefly given.
收稿日期: 2003-04-25
引用本文:
梁肇军. 一类三次系统两个中心共存的条件[J]. , 2003, 42(4): 0-0.
梁肇军. Conditions for certain cubic systems to have two centers. , 2003, 42(4): 0-0.
