【摘要】 对一类2n次Kolmogorov系统极限环存在性问题进行研究。当a4>0时,系统在第一象限内不存在极限环;当a4<0时,讨论平衡点的稳定性态,系统无闭轨的充分条件以及在第一象限内存在稳定极限环的条件。更多还原

【Abstract】 The problem about the existence of limit cycle of a class of 2n-degree Kolmogorov’s system is studied. The system hasn’t limit cycles in the first quadrant when a4>0.The stability of equilibrium,the sufficient conditions of nonexistence of closed orbits and conditions of existence of the stable limit cycles of the system are discussed in the first quadrant when a4<0.更多还原