Weak-Painlevé property and integrability of general dynamical systems
Weak-Painlevé property and integrability of general dynamical systems
复制标题
DOI：
10.3934/dcds.2014.34.3667
复制
发表时间：
2014-03
影响因子：
1.1
通讯作者：
Wenlei Li;S. Shi
中科院分区：
文献类型：
--
作者：
Wenlei Li;S. Shi
本文的目的是研究一般动力系统的奇异性与可积性之间的关系。首先给出了一些检验Painleve性质和弱Painleve性质的方法，然后给出了一般动力系统的弱Painleve性质与一定形式可积性之间的等价性。
The purpose of this paper is to investigate the connection between singular property and integrability for general dynamical systems. We will firstly present some methods to test the Painleve property and weak-Painleve property, then we will show the equivalence between the weak-Painleve property and certain formal integrability for general dynamical systems.