On a mathematical theory of complex systems on networs with application to opinion formation
Fil: Knopoff, Damián Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
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| Format: | publishedVersion |
| Language: | eng |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/11086/24674 https://doi.org/10.1142/S0218202513400137 https://doi.org/10.114/S0218202513400137 |
| _version_ | 1801212524133089280 |
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| author | Knopoff, Damián Alejandro |
| author_facet | Knopoff, Damián Alejandro |
| author_sort | Knopoff, Damián Alejandro |
| collection | Repositorio Digital Universitario |
| description | Fil: Knopoff, Damián Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina |
| format | publishedVersion |
| id | rdu-unc.24674 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.246742022-10-13T11:07:27Z On a mathematical theory of complex systems on networs with application to opinion formation Knopoff, Damián Alejandro Sistemas vivos Redes Interacciones no lineales Aprendizaje Living systems Networks Self-organization Nonlinear interactions Learning Opinion formation publishedVersion Fil: Knopoff, Damián Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina Fil: Knopoff, Damián Alejandro, Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Knopoff, Damián Alejandro, Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. 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. publishedVersion Fil: Knopoff, Damián Alejandro. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina Fil: Knopoff, Damián Alejandro, Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Knopoff, Damián Alejandro, Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Matemática aplicada 2022-05-06T15:45:13Z 2014 article http://hdl.handle.net/11086/24674 https://doi.org/10.1142/S0218202513400137 https://doi.org/10.114/S0218202513400137 eng http://www.worldscientific.com/doi/abs/10.1142/S0218202513400137 Attribution-NonCommercial-NoDerivatives 4.0 International restrictedAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Electrónico y/o Digital e-ISSN: 1793-6314 ISSN: 0218-2025 |
| 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 |
| title | 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_short | 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 |
| topic | Sistemas vivos Redes Interacciones no lineales Aprendizaje Living systems Networks Self-organization Nonlinear interactions Learning Opinion formation |
| 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 |