Pullback incremental attraction

A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated

Bibliographic Details
Main Authors: Kloeden Peter E., Lorenz Thomas
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Nonautonomous Dynamical Systems
Subjects:
Online Access:http://www.degruyter.com/view/j/msds.2014.1.issue-1/msds-2013-0004/msds-2013-0004.xml?format=INT
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author Kloeden Peter E.
Lorenz Thomas
author_facet Kloeden Peter E.
Lorenz Thomas
author_sort Kloeden Peter E.
collection DOAJ
description A pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicated
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issn 2353-0626
language English
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spelling doaj.art-4aba424b25e44ddeba8bd88975c145a92022-12-22T00:08:30ZengDe GruyterNonautonomous Dynamical Systems2353-06262014-01-011110.2478/msds-2013-0004msds-2013-0004Pullback incremental attractionKloeden Peter E.0Lorenz Thomas1Institut für Mathematik Goethe-Universität, 60054 Frankfurt am Main, GermanyInstitut für Mathematik Goethe-Universität, 60054 Frankfurt am Main, GermanyA pullback incremental attraction, a nonautonomous version of incremental stability, is introduced for nonautonomous systems that may have unbounded limiting solutions. Its characterisation by a Lyapunov function is indicatedhttp://www.degruyter.com/view/j/msds.2014.1.issue-1/msds-2013-0004/msds-2013-0004.xml?format=INTNonautonomous dynamical systemnonautonomous differential equationpullback incremental stabilityLyapunov functionpullback attractors
spellingShingle Kloeden Peter E.
Lorenz Thomas
Pullback incremental attraction
Nonautonomous Dynamical Systems
Nonautonomous dynamical system
nonautonomous differential equation
pullback incremental stability
Lyapunov function
pullback attractors
title Pullback incremental attraction
title_full Pullback incremental attraction
title_fullStr Pullback incremental attraction
title_full_unstemmed Pullback incremental attraction
title_short Pullback incremental attraction
title_sort pullback incremental attraction
topic Nonautonomous dynamical system
nonautonomous differential equation
pullback incremental stability
Lyapunov function
pullback attractors
url http://www.degruyter.com/view/j/msds.2014.1.issue-1/msds-2013-0004/msds-2013-0004.xml?format=INT
work_keys_str_mv AT kloedenpetere pullbackincrementalattraction
AT lorenzthomas pullbackincrementalattraction