无穷远分界线的稳定性和产生极限环的条件

Stability and Bifurcations of a Separatrix Tending to Infinite

本文给出了无穷远分界线稳定性的判据以及从无穷远分界线产生极限环的条件，其结果包括了［７］，［８］的主要结果。

This paper gives criterion for determining the stability of a separatrix which tendsto infinite and the conditions for generating limit cycles by bifurcation from the separatrix. Theresults given in this paper include and extend the three respective results already obtained buL. A. erkas,kongrong Zhou and C. A. Holmes in [6],[7],[8].