Dynamics of local groups of conformal mappings and generic properties of differential equations on ℂ2

被引：0
作者：
Shcherbakov A.A. [1 ]
机构：
[1] Institute of Physical Chemistry, Russian Academy of Sciences, Moscow, 119991
来源：
Proceedings of the Steklov Institute of Mathematics | 2006年 / 254卷 / 1期
基金：
俄罗斯基础研究基金会;
关键词：
Singular Point; STEKLOV Institute; Conformal Mapping; Local Group; Monodromy Group;
D O I：
10.1134/S0081543806030047
中图分类号：
学科分类号：
摘要：
This paper is a survey of the present state of the problems related to the generic properties of foliations defined on ℂ2 by algebraic differential equations. We prove that the properties of density, absolute rigidity, and existence of a countable set of complex limit cycles are inherent in all equations except possibly for the union of some real algebraic set and real analytic set of codimension at least two in the space of coefficients. © Nauka/Interperiodica 2006.
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页码：103 / 120
页数：17
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