Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system
type: Item
instance of: scholarly article
title: Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system
zbMATH Open document ID: 1242.34050
author: Feng Li
author: Yirong Liu
author: Hongwei Li
published in: Mathematics and Computers in Simulation
publication date: 2011-12-28T00:00:00Z
review text: Center conditions and bifurcation of limit cycles at the nilpotent critical point in a class of septic polynomial differential systems are investigated. By means of the computer algebra system MATHEMATICA, the first 13 quasi-Lyapunov constants are deduced. Necessary and sufficient center conditions are obtained. It is proved that there exist 13 small amplitude limit cycles bifurcating from the third-order nilpotent critical point.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34-04
zbMATH DE Number: 5992375
zbMATH Keywords: three-order nilpotent critical point
zbMATH Keywords: center-focus problem
zbMATH Keywords: bifurcation of limit cycles
zbMATH Keywords: quasi-Lyapunov constant
reviewed by: A. P. Sadovskiĭ
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.matcom.2011.05.001
OpenAlex ID: W2037142161
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DOI: 10.1016/J.MATCOM.2011.05.001
description: scientific article; zbMATH DE number 5992375