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Topological Methods in Nonlinear Analysis
Article
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arXiv.org e-Print Archive
Preprint . 2013
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Other literature type . 2014
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Topological Methods in Nonlinear Analysis
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2013
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https://dx.doi.org/10.12775/tm...
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Lyapunov functions, shadowing and topological stability

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 12 Apr 2016Embargo end date: 01 Jan 2013Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Topological Methods in Nonlinear Analysis, volume 43, page 231 (issn: 1230-3429, Copyright policy )
Authors: Petrov, Alexey A.; Pilyugin, Sergei Yu.;

doi: 10.12775/tmna.2014.013 , 10.48550/arxiv.1311.3872

arXiv: 1311.3872

Lyapunov functions, shadowing and topological stability

Abstract

We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.

11 pages

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Keywords

FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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Average
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