On a mathematical theory of complex systems on networs with application to opinion formation

Mostrar todas las versiones(2)

This paper presents a development of the so-called kinetic theory for active particles to the modeling of living, hence complex, systems localized in networks. The overall system is viewed as a network of interacting nodes, mathematical equations are required to describe the dynamics in each node an...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Knopoff, Damián Alejandro
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Sistemas vivos
Redes
Interacciones no lineales
Aprendizaje
Living systems
Networks
Self-organization
Nonlinear interactions
Learning
Opinion formation
Acceso en línea:http://hdl.handle.net/11086/24674
https://doi.org/10.1142/S0218202513400137
https://doi.org/10.114/S0218202513400137
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-24674
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Sistemas vivos
Redes
Interacciones no lineales
Aprendizaje
Living systems
Networks
Self-organization
Nonlinear interactions
Learning
Opinion formation
spellingShingle Sistemas vivos
Redes
Interacciones no lineales
Aprendizaje
Living systems
Networks
Self-organization
Nonlinear interactions
Learning
Opinion formation
Knopoff, Damián Alejandro
On a mathematical theory of complex systems on networs with application to opinion formation
topic_facet Sistemas vivos
Redes
Interacciones no lineales
Aprendizaje
Living systems
Networks
Self-organization
Nonlinear interactions
Learning
Opinion formation
description This paper presents a development of the so-called kinetic theory for active particles to the modeling of living, hence complex, systems localized in networks. The overall system is viewed as a network of interacting nodes, mathematical equations are required to describe the dynamics in each node and in the whole network. These interactions, which are nonlinearly additive, are modeled by evolutive stochastic games. The first conceptual part derives a general mathematical structure, to be regarded as a candidate towards the derivation of models, suitable to capture the main features of the said systems. An application on opinion formation follows to show how the theory can generate specific models.
format article
author Knopoff, Damián Alejandro
author_facet Knopoff, Damián Alejandro
author_sort Knopoff, Damián Alejandro
title On a mathematical theory of complex systems on networs with application to opinion formation
title_short On a mathematical theory of complex systems on networs with application to opinion formation
title_full On a mathematical theory of complex systems on networs with application to opinion formation
title_fullStr On a mathematical theory of complex systems on networs with application to opinion formation
title_full_unstemmed On a mathematical theory of complex systems on networs with application to opinion formation
title_sort on a mathematical theory of complex systems on networs with application to opinion formation
publishDate 2022
url http://hdl.handle.net/11086/24674
https://doi.org/10.1142/S0218202513400137
https://doi.org/10.114/S0218202513400137
work_keys_str_mv AT knopoffdamianalejandro onamathematicaltheoryofcomplexsystemsonnetworswithapplicationtoopinionformation
bdutipo_str Repositorios
_version_ 1764820391065288707

Ejemplares similares