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
Main Authors: | , |
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Format: | Article |
Language: | English |
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De Gruyter
2014-01-01
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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 |
first_indexed | 2024-12-12T23:15:00Z |
format | Article |
id | doaj.art-4aba424b25e44ddeba8bd88975c145a9 |
institution | Directory Open Access Journal |
issn | 2353-0626 |
language | English |
last_indexed | 2024-12-12T23:15:00Z |
publishDate | 2014-01-01 |
publisher | De Gruyter |
record_format | Article |
series | Nonautonomous Dynamical Systems |
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 |