Continuum limit for interacting systems on adaptive networks
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911697460002816 |
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| author | Throm, Sebastian |
| author_facet | Throm, Sebastian |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15433 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuum limit for interacting systems on adaptive networks Throm, Sebastian Dynamical Systems Analysis of PDEs 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. |
| title | Continuum limit for interacting systems on adaptive networks |
| topic | Dynamical Systems Analysis of PDEs |
| url | https://arxiv.org/abs/2308.15433 |