A qualitative study of a trigonometric autonomous system
type: Item
instance of: scholarly article
title: A qualitative study of a trigonometric autonomous system
zbMATH Open document ID: 0813.34031
author: Shizo Liu
author: B. D. Sleeman
author: Jinghuang Tian
published in: Journal of Mathematical Analysis and Applications
publication date: 1994-05-09T00:00:00Z
review text: A qualitative analysis is made of the autonomous system \(\dot x = \sin y\), \(\dot y = - \sin x + d \sin ny\) defined on the torus \(T^ 2 = [-\pi, \pi] \times [-\pi, \pi]\), where \(d \in R\) and \(n\) is a positive integer. It is proved that for \(0 < d \ll I\) the system has at least \(2(n-1)\) limit cycles.
reviewed by: Di Zhang
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 566445
zbMATH Keywords: autonomous system
zbMATH Keywords: torus
zbMATH Keywords: limit cycles
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1053
OpenAlex ID: W2044963178
DOI: 10.1006/JMAA.1994.1053
description: scientific article; zbMATH DE number 566445