Attractors of ordinary differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0987.34056
author: E. V. Voskresenskiĭ
publication date: 2001-07-11T00:00:00Z
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 37B25
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 1617462
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: attractors
zbMATH Keywords: Lyapunov vector function
zbMATH Keywords: polynomial asymptotic equilibrium
MaRDI profile type: Publication
title: Attractors of ordinary differential equations
published in: Ukraïns'kyĭ Matematychnyĭ Zhurnal
review text: The author gives sufficient conditions for the existence of polynomial attractors for ODEs. This problem is generally treated by perturbation techniques. Here, the author uses Lyapunov vector functions and introduces the notion of polynomial asymptotic equilibrium. In particular, he applies the above results to get sufficient conditions for the existence of periodic solutions.
reviewed by: Ileana Toma
description: scientific article; zbMATH DE number 1617462