| 复解析动力系统发展概况 |
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| 引用本文： | 蔡克聚,邓小成.复解析动力系统发展概况[J].数学进展,1994,23(1):1-24. |
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| 作者姓名： | 蔡克聚 邓小成 |
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| 作者单位： | 中山大学数学系 |
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| 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。
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| 关 键 词： | 动力系统 稳定集 复解析映照 |
Recent Developments of Complex Analytical Dynamic Systems |
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| Cai Keju,Deng Xiaocheng.Recent Developments of Complex Analytical Dynamic Systems[J].Advances in Mathematics,1994,23(1):1-24. |
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| Authors: | Cai Keju Deng Xiaocheng |
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| Abstract: | 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. |
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| Keywords: | complex analytical dynalnic systems stable sets wandering sets Julia sets parametric spaces asymptotic values critical points transcendantalentire functions meromorphic functions |
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