一类含单奇点的极限环的三次系统

A Kind Cubical System of No Exist Limit Cycle of Include Smgular Point

证明具体三次系统x=y-εy^3,y=x(1-x^2)+(α-x^2)y,当α≥1或0<α≤1/3时,在区域|y|<1/ε^(1/2)内无含单奇点的极限环,这里ε>0.

This paper proved cubic system x = y - εy3, y = x(1 - x2) + (a - x2)y(E) no exist limit cycle of include smgular point in when α≥1 or 0≤α<1/3, where ε > 0.