Year: 2014
Author: Wenlei Li, Shaoyun Shi
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 358–368
Abstract
The main purpose of this paper is to investigate the connection between the Painlevé property and the integrability of polynomial dynamical systems. We show that if a polynomial dynamical system has Painlevé property, then it admits certain class of first integrals. We also present some relationships between the Painlevé property and the structure of the differential Galois group of the corresponding variational equations along some complex integral curve.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2014.04.09
Communications in Mathematical Research , Vol. 30 (2014), Iss. 4 : pp. 358–368
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Painlevé property integrability differential Galois group