Symmetry in planar dynamical systems
type: Item
instance of: scholarly article
title: Symmetry in planar dynamical systems
zbMATH Open document ID: 1003.34026
published in: Journal of Symbolic Computation
publication date: 2002-06-11T00:00:00Z
review text: In the study of dynamical systems, conditions for a critical point to be a centre are often sought. The sufficiency of such conditions is probed using various techniques, here, the authors exploit the possible symmetry of a given system. They describe an application of Gröbner bases in the search for a bilinear transformation of the system to one which is symmetric in a line.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 1753683
zbMATH Keywords: planar dynamical system
zbMATH Keywords: symmetry
zbMATH Keywords: critical point
zbMATH Keywords: centre
zbMATH Keywords: Gröbner basis
author: Noel G. Lloyd
author: Jane M. Pearson
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
full work available at URL: jsco.2001.0502
OpenAlex ID: W1967464745
cites work: Q4523711
cites work: Q3714165
cites work: Q4850473
cites work: An algorithmic approach to the center problem for homogeneous perturbations
cites work: REDUCE and the bifurcation of limit cycles
cites work: Computing centre conditions for certain cubic systems
cites work: Five limit cycles for a simple cubic system
cites work: Bifurcation of limit cycles and integrability of planar dynamical systems in complex form
cites work: A cubic Kolmogorov system with six limit cycles
cites work: Algorithmic Derivation of Centre Conditions
cites work: Q4881233
cites work: The centres in the reduced Kukles system
cites work: Polynomial systems from certain differential equations
DOI: 10.1006/JSCO.2001.0502
description: scientific article; zbMATH DE number 1753683