机构地区: 中山大学数学与计算科学学院数学系
出 处: 《数学进展》 1994年第1期1-24,共24页
摘 要: 本文综述了由有理映照、整函数、亚纯函数、C*上解析自映照及它们的子函数族分别所生成的复解析动力系统的一些结果。这些结果大多数是近十年来所取得的。这些成果均被分类归纳于如下4节:稳定集;Julia集;参数空间;渐近值对复解析动力系统的影响。 This is a collection of results on complex analytical dynamic systemsgenerated respectively by rational mappings,transcendantal entire functions,mero-morphic functions, analytic self-mappings on C* and their sub-families.Most of theresults were obtained in the past ten years.They are grouped under the subtitles:Stable sets,Julia sets,parametric spaces,and the influence of asymptotic values oncomplex analytical dynamic systems.