Algebraical limit cycles of polynomial vector fields on the plane
type: Item
instance of: scholarly article
title: Algebraical limit cycles of polynomial vector fields on the plane
zbMATH Open document ID: 1028.34032
DOI: 10.1023/A:1012582809822
author: M. V. Dolov
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: The existence of limit cycles of algebraic differential equations has been studied and their number has been estimated in numerous papers. In recent decades, much attention was paid to polynomial vector fields with invariant algebraic curves. The statement of the problem goes back to Darboux, Poincaré, and Erugin. In this paper, the author studies algebraic limit cycles of real systems of polynomial differential equations.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 1915924
zbMATH Keywords: polynomial vector field
zbMATH Keywords: algebraic limit cycle
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
full work available at URL: a:1012582809822
OpenAlex ID: W53508079
description: scientific article; zbMATH DE number 1915924