TY - JOUR
T1 - Painlevé Property and Integrability of Polynomial Dynamical Systems
AU - Li , Wenlei
AU - Shi , Shaoyun
JO - Communications in Mathematical Research 
VL - 4
SP - 358
EP - 368
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/10.13447/j.1674-5647.2014.04.09
UR - https://global-sci.org/intro/article_detail/cmr/18962.html
KW - Painlevé property, integrability, differential Galois group
AB - <p style="text-align: justify;">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.</p>