Competition in the presence of aging: dominance, coexistence, and alternation between states

We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the system has a preference to adopt older states the system orders quickly due to the dominance of old states. When preference for new s...

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Detalles Bibliográficos
Autores principales: Pérez, Toni, Klemm, Konstantin, Eguíluz, Víctor M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4754749/
https://www.ncbi.nlm.nih.gov/pubmed/26878887
http://dx.doi.org/10.1038/srep21128
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author Pérez, Toni
Klemm, Konstantin
Eguíluz, Víctor M.
author_facet Pérez, Toni
Klemm, Konstantin
Eguíluz, Víctor M.
author_sort Pérez, Toni
collection PubMed
description We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the system has a preference to adopt older states the system orders quickly due to the dominance of old states. When preference for new states prevails, the system can show coexistence of states or synchronized collective behavior resulting in long ordering times. In this case, the magnetization of the system oscillates around zero. Finally we discuss a potential application in social systems.
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spelling pubmed-47547492016-02-24 Competition in the presence of aging: dominance, coexistence, and alternation between states Pérez, Toni Klemm, Konstantin Eguíluz, Víctor M. Sci Rep Article We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the system has a preference to adopt older states the system orders quickly due to the dominance of old states. When preference for new states prevails, the system can show coexistence of states or synchronized collective behavior resulting in long ordering times. In this case, the magnetization of the system oscillates around zero. Finally we discuss a potential application in social systems. Nature Publishing Group 2016-02-16 /pmc/articles/PMC4754749/ /pubmed/26878887 http://dx.doi.org/10.1038/srep21128 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Pérez, Toni
Klemm, Konstantin
Eguíluz, Víctor M.
Competition in the presence of aging: dominance, coexistence, and alternation between states
title Competition in the presence of aging: dominance, coexistence, and alternation between states
title_full Competition in the presence of aging: dominance, coexistence, and alternation between states
title_fullStr Competition in the presence of aging: dominance, coexistence, and alternation between states
title_full_unstemmed Competition in the presence of aging: dominance, coexistence, and alternation between states
title_short Competition in the presence of aging: dominance, coexistence, and alternation between states
title_sort competition in the presence of aging: dominance, coexistence, and alternation between states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4754749/
https://www.ncbi.nlm.nih.gov/pubmed/26878887
http://dx.doi.org/10.1038/srep21128
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