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一类有界E_3~1系统的极限环
引用本文:吴承强.一类有界E_3~1系统的极限环[J].福州大学学报(自然科学版),1993(6):15-21.
作者姓名:吴承强
作者单位:福州大学数学系
摘    要:研究只有一个有限远奇点的有界E31系统在2个等价条件下的极限环问题,得到了系统不 存在极限环,恰有一个极限环和至少二个极限环的条件,并分析了极限环的变化情况。

关 键 词:有界系统  有限远奇点  极限环

Limit Cycles of Some Bounded E_3~1 System
Wu Chengqiang.Limit Cycles of Some Bounded E_3~1 System[J].Journal of Fuzhou University(Natural Science Edition),1993(6):15-21.
Authors:Wu Chengqiang
Institution:Department of Mathematics
Abstract:We study the problem of the limit cycles of bounded E31 systems with only one fi- nite critical point under two equivalent conditions. We have the conditions for the system hav- ing no limit cycle, only one limit cycle, or at least two limit cycles. And then analyse the possi- ble variation of the limit cycles, including the appearance and disappcarance of them.
Keywords:bounded system  limit cycle  finite critical point
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