Approximate first integrals for a system of two coupled van der Pol oscillators with linear diffusive coupling
type: Item
instance of: scholarly article
title: Approximate first integrals for a system of two coupled van der Pol oscillators with linear diffusive coupling
zbMATH Open document ID: 1285.70007
author: F. M. Mahomed
author: I. Naeem
published in: Mathematical \& Computational Applications
publication date: 2011-08-25T00:00:00Z
review text: The authors construct approximate first integrals of perturbed ordinary differential equations without variational principle. The approximate partial Noether operators for two coupled van der Pol oscillators are constructed using the partial Lagrangian approach. These approximate partial Noether operators are not approximate symmetry generators of the given system of equations, therefore, they do not admit an approximate Lie algebra. The condition under which an approximate algebra can be generated, are given elsewhere.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 70K40
Mathematics Subject Classification ID: 70H99
zbMATH DE Number: 5943177
zbMATH Keywords: partial Noether operator
zbMATH Keywords: partial Lagrangian
MaRDI profile type: Publication
full work available at URL: mca15040720
OpenAlex ID: W2244250677
DOI: 10.3390/MCA15040720
description: scientific article; zbMATH DE number 5943177