Uniqueness of the limit cycles for complex differential equations with two monomials
type: Item
instance of: scholarly article
title: Uniqueness of the limit cycles for complex differential equations with two monomials
author: Armengol Gasull
author: M. J. Álvarez
author: Rafel Prohens
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-10-13T00:00:00Z
review text: In this paper, the authors prove that any complex differential equation with two monomials of a special form has at most one limit cycle. For an arbitrary equation of this form, they also solve the centre-focus problem and examine the number, position, and type of its critical points proving a Berlinskii-type result regarding the geometrical distribution of the critical points.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 7601339
zbMATH Keywords: polynomial differential equation
zbMATH Keywords: uniqueness of limit cycles
zbMATH Keywords: centre-focus problem
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126663
OpenAlex ID: W4294631631
Wikidata QID: Q115345803
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DOI: 10.1016/J.JMAA.2022.126663
description: scientific article; zbMATH DE number 7601339