Invariant tori of a class of point mappings: The annulus principle
type: Item
instance of: scholarly article
title: Invariant tori of a class of point mappings: The annulus principle
zbMATH Open document ID: 1078.37017
DOI: 10.1023/A:1026133701786
author: A. Yu. Kolesov
author: N. Kh. Rozov
author: A. N. Kulikov
published in: Differential Equations
publication date: 2005-06-17T00:00:00Z
review text: The authors suggest versions of known results on the existence, stability and smoothness of invariant manifold theory from ordinary differential equations to invariant toroidal manifolds for point mappings of an annulus in Banach spaces. The necessity of such generalization is caused by the needs of qualitative theory of differential equations with distributed parameters and by the fact that for numerous autonomous systems of partial differential equations and also delay equations, integral manifolds are invariant sets of the family of translation operators along the trajectories.
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37L10
zbMATH DE Number: 2176550
zbMATH Keywords: point mappings in Banach spaces
zbMATH Keywords: invariant toroidal manifolds
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: a:1026133701786
OpenAlex ID: W18433834
Wikidata QID: Q59448660
description: scientific article; zbMATH DE number 2176550