Counting uniformly attracting solutions of nonautonomous differential equations
type: Item
instance of: scholarly article
title: Counting uniformly attracting solutions of nonautonomous differential equations
zbMATH Open document ID: 1163.34035
author: Arno Berger
published in: Discrete and Continuous Dynamical Systems. Series S
publication date: 2008-07-11T00:00:00Z
review text: The author studies the question how many uniformly attracting solutions a given nonautonomous differential equations has. As examples in the paper show, there can be infinitely many such solutions, even if the right hand side is real-analytic and one only counts solutions in a certain compact subset of the phase space. Only finitely many uniformly attracting solutions, however, exist in the case when the right hand side is period, asymptotically autonomous or a polynomial with bounded time-dependent coefficients.
reviewed by: Martin Rasmussen
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 37C60
zbMATH DE Number: 5299831
zbMATH Keywords: nonautonomous dynamical system
zbMATH Keywords: attractor
zbMATH Keywords: repellor
zbMATH Keywords: polynomial differential equation
zbMATH Keywords: Poincaré map
MaRDI profile type: Publication
full work available at URL: dcdss.2008.1.15
OpenAlex ID: W1998774814
DOI: 10.3934/DCDSS.2008.1.15
description: scientific article; zbMATH DE number 5299831