Cubic systems of nonlinear oscillations with seven limit cycles
type: Item
instance of: scholarly article
title: Cubic systems of nonlinear oscillations with seven limit cycles
zbMATH Open document ID: 1083.34026
DOI: 10.1023/A:1026010926840
author: A. P. Sadovskiĭ
published in: Differential Equations
publication date: 2005-06-17T00:00:00Z
review text: The author considers a cubic autonomous system of Kukles-type and, using the computer algebra system MATHEMATICA for calculation of the first seven focus quantities of the origin, gives a proof for the existence of at least seven small-amplitude limit cycles for such a system.
reviewed by: Valery A. Gaiko
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 2176535
zbMATH Keywords: cubic system of nonlinear oscillations
zbMATH Keywords: focus quantity
zbMATH Keywords: limit cycle
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: a:1026010926840
OpenAlex ID: W46308471
description: scientific article; zbMATH DE number 2176535