【摘要】 本文利用隐函数定理和一阶Mel’nikov函数,对Lienard方程Poincare分岔极 限环的唯一性进行了探讨, 同时也对闭轨的不存在性进行了分析,给出了若干判据. 通过对一阶Mel’nikov函数进行变形, 引入了新的判定函数, 由此得到了更为简单的 判定条件.更多还原

【Abstract】 This paper deals with the uniqueness of limit cycles from Poincare bifurcation of Lienard equation by usmg the implicit function theorem and the first order Mel’nikov function. Meanwhile, the case of non-existence of closed orbit is also investigated, some criteria are obtained. After modifying the first order Mel’nikov function, a new decision function is introduced, so the decision conditions become more simple.更多还原