Algebraic linearization criteria for systems of ordinary differential equations
type: Item
instance of: scholarly article
title: Algebraic linearization criteria for systems of ordinary differential equations
zbMATH Open document ID: 1251.34053
author: F. M. Mahomed
author: Muhammad Ayub
author: Masood Khan
published in: Nonlinear Dynamics
publication date: 2012-07-17T00:00:00Z
review text: The authors give all possible algebras of dimension 4 connected with the linearization by general point transformation for a system of two second-order ODEs. These results complement and complete the work [\textit{C. W. Soh} and \textit{F. M. Mahomed}, Int. J. Non-Linear Mech. 36, No. 4, 671--677 (2001; Zbl 1345.34012)]. Complete algebraic linearization criteria for dimension four algebras are provided. Necessary and sufficient conditions for linearization via invertible maps of a nonlinear to a linear system are given. To illustrate the obtained results, examples from Newtonian mechanics are presented.
reviewed by: Oleg V. Makeev
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 6057929
zbMATH Keywords: linearization by point transformation
zbMATH Keywords: four-dimentional Lie algebras
zbMATH Keywords: system of ODEs
MaRDI profile type: Publication
full work available at URL: s11071-011-0128-x
OpenAlex ID: W2051473441
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DOI: 10.1007/S11071-011-0128-X
description: scientific article; zbMATH DE number 6057929