On the period function of reversible quadratic centers with their orbits inside quartics
type: Item
instance of: scholarly article
title: On the period function of reversible quadratic centers with their orbits inside quartics
zbMATH Open document ID: 1182.34059
author: Haihua Liang
author: Yulin Zhao
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-10-09T00:00:00Z
review text: The authors study the monotonicity of the period function for the planar real system (belonging to the class of reversible quadratic centers) of the form: \[ \dot x = y + 8(b+1)xy, \quad \dot y = -x -2(3b+1)x^2 + 6(b+1)y^2, \] where \(b \neq -1\) is a real number. In particular, they prove that such system has a period function with at most one critical point.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C08
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5612991
zbMATH Keywords: monotonicity
zbMATH Keywords: period function
zbMATH Keywords: Abelian integrals
zbMATH Keywords: Picard-Fuchs equations
reviewed by: Alexey O. Remizov
MaRDI profile type: Publication
full work available at URL: j.na.2009.04.062
OpenAlex ID: W1991586996
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DOI: 10.1016/J.NA.2009.04.062
description: scientific article; zbMATH DE number 5612991