关于超越复解析动力系统中的问题

The main objects we study in Complex dynamics is stability and chaos,.that is, the Fatou set and the Julia set, which are produced by iteration.of analytic mapping of a Riemann surface to itself under the sense of.Montel normality. The purpose of this item is to investigate several.important problems in Complex dynamics, and to reveal its scientifical.significance. The innovations of our investigation we should mention here.are th following two aspects:.One is to make “Hyperbolic metric” very useful tool in the study of.Complex dynamics; another is to establish the relationship between.dynamics of meromorphic functions and Nevanlinna theory..It is these new methods that we use to achieve important progress in.the study of several problems of Complex dynamics and to make new findings.

复动力系统主要是研究一个黎曼曲面到自身的解析映照迭代所形成的轨道在正规意义下的稳定性和混沌，即Fatou集和Julia集。本项目主要立项研究超越函数的动力系统中的若干重要的开问题，更进一步地揭示其科学意义。