【摘要】 本文研究一类具有过原点的三次曲线解的Kolmogorov三次系统。首次给出并证明了一种简化的等价系统,得到了此系统既不位于坐标轴也不位于三次曲线解上的奇点的精确表达式。证明了在一定条件下存在极限环,而且至少存在三个极限环,并给出了数值例子。更多还原

【Abstract】 The Kolmogorov cubic system with a cubic solution passing through the origin is studied. An accurate expression of singular points in this model is given for the first time. It is proved that there are at least three limit cycles in the system under some conditions, and a numerical example is also given.更多还原