A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function
In this work, we obtain a weak version of the turnpike property of trajectories of perturbed discrete disperse dynamical systems, which have a prototype in mathematical economics.
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Format: | Article |
Language: | English |
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MDPI AG
2021-03-01
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Series: | Axioms |
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Online Access: | https://www.mdpi.com/2075-1680/10/2/45 |
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author | Alexander J. Zaslavski |
author_facet | Alexander J. Zaslavski |
author_sort | Alexander J. Zaslavski |
collection | DOAJ |
description | In this work, we obtain a weak version of the turnpike property of trajectories of perturbed discrete disperse dynamical systems, which have a prototype in mathematical economics. |
first_indexed | 2024-03-10T12:48:39Z |
format | Article |
id | doaj.art-bbb8a0b463534533aea317a527d44429 |
institution | Directory Open Access Journal |
issn | 2075-1680 |
language | English |
last_indexed | 2024-03-10T12:48:39Z |
publishDate | 2021-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Axioms |
spelling | doaj.art-bbb8a0b463534533aea317a527d444292023-11-21T13:15:40ZengMDPI AGAxioms2075-16802021-03-011024510.3390/axioms10020045A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov FunctionAlexander J. Zaslavski0Department of Mathematics, Technion–Israel Institute of Technology, Haifa 32000, IsraelIn this work, we obtain a weak version of the turnpike property of trajectories of perturbed discrete disperse dynamical systems, which have a prototype in mathematical economics.https://www.mdpi.com/2075-1680/10/2/45compact metric spaceglobal attractorLyapunov functionset-valued mappingturnpike |
spellingShingle | Alexander J. Zaslavski A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function Axioms compact metric space global attractor Lyapunov function set-valued mapping turnpike |
title | A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function |
title_full | A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function |
title_fullStr | A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function |
title_full_unstemmed | A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function |
title_short | A Weak Turnpike Property for Perturbed Dynamical Systems with a Lyapunov Function |
title_sort | weak turnpike property for perturbed dynamical systems with a lyapunov function |
topic | compact metric space global attractor Lyapunov function set-valued mapping turnpike |
url | https://www.mdpi.com/2075-1680/10/2/45 |
work_keys_str_mv | AT alexanderjzaslavski aweakturnpikepropertyforperturbeddynamicalsystemswithalyapunovfunction AT alexanderjzaslavski weakturnpikepropertyforperturbeddynamicalsystemswithalyapunovfunction |