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In this paper, we discuss the limit cycles of the systemdx/dt=y·[1+(A（x）]oy/dt=（-x+δy+α<sub>1</sub>x<sup>2</sup>+α<sub>2</sub>xy+α<sub>5</sub>x<sup>2</sup>y）[1+B（x）] （1）where A（x）=sum form i