论文标题
Ecalle的副阶层复兴单元素和有效的合成
Ecalle's paralogarithmic resurgence monomials and effective synthesis
论文作者
论文摘要
副阶层构成了一个特殊功能的家族，这是超层置换术的一些概括。 Jean Ecalle在具有不规则奇异性的复杂分析动力学系统的背景下引入了它们，以有效且非常通用的方式解决所谓的“合成问题”。我们描述了复兴单元的形式主义，引入了副群族家族，并用副臂单元对具有鞍形节点奇异性的分析矢量领域呈现有效的合成。
Paralogarithms constitute a family of special functions, which are some generalizations of hyperlogarithms. They have been introduced by Jean Ecalle in the context of the classification of complex analytic dynamical systems with irregular singularities, to solve the so-called "synthesis problem" in an effective and very general way. We describe the formalism of resurgence monomials, introduce the paralogarithmic family and present the effective synthesis with paralogarithmic monomials, of analytic vector fields having a saddle-node singularity, following Ecalle.
