Continuum limit for interacting systems on adaptive networks
The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large systems the dynamics can be approximated by the correspondi...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
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| Series: | European Journal of Applied Mathematics |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S0956792524000354/type/journal_article |
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| _version_ | 1846139693269254144 |
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| author | Sebastian Throm |
| author_facet | Sebastian Throm |
| author_sort | Sebastian Throm |
| collection | DOAJ |
| description | The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large systems the dynamics can be approximated by the corresponding continuum limit. Well-posedness of the latter is also established. |
| format | Article |
| id | doaj-art-5338d570be414526a1430010903ad484 |
| institution | Kabale University |
| issn | 0956-7925 1469-4425 |
| language | English |
| publisher | Cambridge University Press |
| record_format | Article |
| series | European Journal of Applied Mathematics |
| spelling | doaj-art-5338d570be414526a1430010903ad4842024-12-06T07:21:24ZengCambridge University PressEuropean Journal of Applied Mathematics0956-79251469-442511510.1017/S0956792524000354Continuum limit for interacting systems on adaptive networksSebastian Throm0Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, 901 87, SwedenThe article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large systems the dynamics can be approximated by the corresponding continuum limit. Well-posedness of the latter is also established.https://www.cambridge.org/core/product/identifier/S0956792524000354/type/journal_articleadaptive networkscontinuum limitgraph limitinteracting systems05C9045J0570F4534C1535R02 |
| spellingShingle | Sebastian Throm Continuum limit for interacting systems on adaptive networks European Journal of Applied Mathematics adaptive networks continuum limit graph limit interacting systems 05C90 45J05 70F45 34C15 35R02 |
| title | Continuum limit for interacting systems on adaptive networks |
| title_full | Continuum limit for interacting systems on adaptive networks |
| title_fullStr | Continuum limit for interacting systems on adaptive networks |
| title_full_unstemmed | Continuum limit for interacting systems on adaptive networks |
| title_short | Continuum limit for interacting systems on adaptive networks |
| title_sort | continuum limit for interacting systems on adaptive networks |
| topic | adaptive networks continuum limit graph limit interacting systems 05C90 45J05 70F45 34C15 35R02 |
| url | https://www.cambridge.org/core/product/identifier/S0956792524000354/type/journal_article |
| work_keys_str_mv | AT sebastianthrom continuumlimitforinteractingsystemsonadaptivenetworks |