研究一类m=6,n=8和一类m=8,n=6的 Liénard系统在原点邻域内的极限环数目问题,证明了这两个系统在原点充分小邻域内分别能产生9个和8个极限环,首次给出了(H)(6,8)和(H)(8,6)的一个下界估计,即(H)(6,8)≥9,H ^(8,6)≥8.%The number of limit cycles for classes of Liénard systems (m=6,n=8) and (m=8,n=6) in the neighborhood of the origin is studied.It is proved that the two systems can generate 9 and 8 limit cycles in a sufficiently small neighborhood of the origin,respectively.It is the first time that lower bound estimations of (H)(6,8) and(H)(8,6) are obtained,namely (H)(6,8)≥9,(H)(8,6)≥8.
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