一类非线性自治系统的极限环

Limit Cycles of the First Class Non-Linear Self-Consistent System

讨论了非线性自治系统x=x(a0+alx+a2x2-(1-e-λy)),y=y(x2-1)的平衡点的性态,并证明了该系统极限环的存在性与唯一性.

The singular point of the first non linear self consistent system was discussed, =x(1-bx 12 )-yx 12 , =y(-d+ex 12 ) and existence and uniqueness and globle stability of non linear self consistent system was proved.