一类Kolmogorov系统的极限环

On limit cycles of cubic Kolmogorov system

研究了Kolmogorov系统 x=x(a0+a1x-a2x2-a3xy), y=y(x2-1),在某些条件下证明了该系统极限环的存在性和唯一性以及不存在性.

The existence, uniqueness and non-existence of the limit cycles in cubic Kolmogorov differential system =x(a_0+a_1x-a_2x^2-a_3xy);=y(x^2-1), which results were proved is considered under certain conditions.