Linearizability of planar polynomial Hamiltonian systems
type: Item
instance of: scholarly article
title: Linearizability of planar polynomial Hamiltonian systems
zbMATH Open document ID: 1490.34046
author: Barbara Arcet
author: Valery G. Romanovski
author: Jaume Giné
published in: Nonlinear Analysis. Real World Applications
publication date: 2021-12-15T00:00:00Z
review text: Linearizability of two-dimensional polynomial Hamiltonian systems are revisited in this paper. The authors provide a new computational procedure to obtain linearizability condition. Necessary and sufficient conditions for linearizability of Hamiltonian systems with homogeneous non-linearities of degrees 5, 6 and 7 are obtained and some sufficient conditions for linearizability of systems with nonhomogeneous nonlinearities of degrees 2, 3 and 5 are presented.
reviewed by: Xingwu Chen
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 7446135
zbMATH Keywords: isochronicity
zbMATH Keywords: linearizability
zbMATH Keywords: planar polynomial differential systems
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: integrability
describes a project that uses: primdec
describes a project that uses: SINGULAR
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103422
OpenAlex ID: W3199761297
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DOI: 10.1016/J.NONRWA.2021.103422
description: scientific article; zbMATH DE number 7446135