On the Dulac functions
type: Item
instance of: scholarly article
title: On the Dulac functions
zbMATH Open document ID: 1220.34050
author: Osvaldo Osuna
author: Gabriel Villaseñor
published in: Qualitative Theory of Dynamical Systems
publication date: 2011-04-08T00:00:00Z
review text: The paper contains a method for the construction of a Dulac function for planar autonomous systems. It is based on using a quasilinear partial differential equation. There are some examples to illustrate this method.
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5876924
zbMATH Keywords: planar autonomous system
zbMATH Keywords: Bendixson-Dulac criterion
zbMATH Keywords: Dulac function
zbMATH Keywords: quasilinear partial differential equation
zbMATH Keywords: periodic orbit
MaRDI profile type: Publication
full work available at URL: s12346-011-0036-y
OpenAlex ID: W2057315529
cites work: A new criterion for controlling the number of limit cycles of some generalized Liénard equations
cites work: Bendixson-Dulac criteria for difference equations
cites work: Q4715203
cites work: Q4781183
cites work: On the construction of certain Dulac functions
DOI: 10.1007/S12346-011-0036-Y
description: scientific article