Year: 2019
Type: Article
Title: Localization of the Chain Recurrent set using Shape theory and Symbolical Dynamics
Author: Shoptrajanov, Martin
Abstract: AbstractThe main aim of this paper is localization of the chain recurrent set in shape theoretical framework. Namely, using the intrinsic approach to shape from [1] we present a result which claims that under certain conditions the chain recurrent set preserves local shape properties. We proved this result in [2] using the notion of a proper covering. Here we give a new proof using the Lebesque number for a covering and verify this result by investigating the symbolical image of a couple of systems of differential equations following [3].
Publisher: Walter de Gruyter GmbH
Relation: Topological Algebra and its Applications
Identifier: oai:repository.ukim.mk:20.500.12188/18798
Identifier: http://hdl.handle.net/20.500.12188/18798Identifier: 10.1515/taa-2019-0002
Identifier: https://www.degruyter.com/view/journals/taa/7/1/article-p13.xmlIdentifier: https://www.degruyter.com/document/doi/10.1515/taa-2019-0002/pdfIdentifier: 7
Identifier: 1
Identifier: 13
Identifier: 28
