The monotonicity of period function for the codimension four quadratic system \(Q_4\).
type: Item
instance of: scholarly article
title: The monotonicity of period function for the codimension four quadratic system \(Q_4\).
zbMATH Open document ID: 1047.34024
author: Yulin Zhao
published in: Journal of Differential Equations
publication date: 2003-03-18T00:00:00Z
review text: The author studies the codimension four quadratic system \[ \dot{z}=-iz+4z^2+2| z| ^{2}+(b+ic)\bar{z}^{2},\tag{\(Q_4\)} \] where \(b,c\in\mathbb{R}\), \(i^{2}=-1\), \(z=x+iy\) and \(| b+ic| =2\). The author investigates the period function \[ T(h):=\oint_{\Gamma_{h}}\,dt. \] The main result of the paper is that the period function of periodic trajectories of system (\(Q_{4}\)) is monotone.
reviewed by: Ladislav Adamec
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1884207
zbMATH Keywords: limit cycles
zbMATH Keywords: quadratic systems
zbMATH Keywords: Abelian integrals
MaRDI profile type: Publication
full work available at URL: jdeq.2002.4175
OpenAlex ID: W2065180482
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DOI: 10.1006/JDEQ.2002.4175
description: scientific article; zbMATH DE number 1884207