Centers for trigonometric Abel equations
type: Item
instance of: scholarly article
title: Centers for trigonometric Abel equations
zbMATH Open document ID: 1264.34055
author: Armengol Gasull
author: Anna Cima
author: Francesc Mañosas
published in: Qualitative Theory of Dynamical Systems
publication date: 2013-02-05T00:00:00Z
full work available at URL: http://ddd.uab.cat/record/150523
review text: The paper is concerned with various notions of (isochronous) centers for planar systems of the form \[ \dot x = -y +P(x,y),\; \dot y = x + Q(x,y),\tag{1} \] the main focus is on the notion of strongly persistent center and on a condition on the vanishing of some generalized moments for the Abel equation \[ \frac{d r}{d\theta} = A(\theta)r^3+B(\theta)r^2 \] (which is related to (1) in polar coordinates). Particular emphasis is given to the case when \(A\) and \(B\) are trigonometric polynomials.
reviewed by: Marco Spadini
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6134564
zbMATH Keywords: periodic orbits
zbMATH Keywords: centers
zbMATH Keywords: trigonometric Abel equation
zbMATH Keywords: moments
zbMATH Keywords: persistent center
MaRDI profile type: Publication
OpenAlex ID: W2009269145
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DOI: 10.1007/S12346-011-0054-9
description: scientific article; zbMATH DE number 6134564