A survey on the Kovalevskaya exponents and their applications
type: Item
instance of: scholarly article
title: A survey on the Kovalevskaya exponents and their applications
zbMATH Open document ID: 1482.34005
author: Jaume Llibre
author: Yuzhou Tian
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-09-01T00:00:00Z
review text: The article under review gives an extensive review on the Kovalevskaya exponents and the related applications, particularly in the integrability problems. More precisely, the authors review the previous results about Kovalevskaya exponents of quasi-homogeneous differential systems, of semi-quasi-homogeneous systems and of Hamiltonian system, the relationship between Kovalevskaya exponents and Darboux polynomials, Painlevé property. A large number of examples are given to illustrate results about the Kovalevskaya exponents.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 7389240
zbMATH Keywords: Kovalevskaya exponents
zbMATH Keywords: integrability
zbMATH Keywords: polynomial system
zbMATH Keywords: Painlevé property
reviewed by: Kaiyin Huang
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125576
OpenAlex ID: W3195809458
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DOI: 10.1016/J.JMAA.2021.125576
description: scientific article; zbMATH DE number 7389240