分片光滑系统中一类具非初等奇点的擦边闭轨分支

Limit Cycle Bifurcations by Perturbing a Grazing Closed Orbits with a Non-elementary Singular Point in Piecewise Smooth Systems

文章应用平面分片光滑近哈密顿系统的一阶Melnikov函数方法,主要研究一类具有非初等奇点的擦边闭轨附近的极限环分支问题.

In this paper, by using the first order Melnikov function method in piecewise near-Hamihoniansystems, we mainly study the limit cycle bifurcations of a grazing closed orbit with non-elementary singularpoint.