Categorical foundations of discrete dynamical systems
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915328405012480 |
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| author | Carranza, Daniel Kapulkin, Chris Kershaw, Nathan Laubenbacher, Reinhard Wheeler, Matthew |
| author_facet | Carranza, Daniel Kapulkin, Chris Kershaw, Nathan Laubenbacher, Reinhard Wheeler, Matthew |
| contents | We develop categorical foundations of discrete dynamical systems, aimed at understanding how the structure of the system affects its dynamics. The key technical innovation is the notion of a cycle set, which provides a formal language in which to speak of the system's attractors. As a proof of concept, we provide a decomposition theorem for discrete dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05190 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorical foundations of discrete dynamical systems Carranza, Daniel Kapulkin, Chris Kershaw, Nathan Laubenbacher, Reinhard Wheeler, Matthew Dynamical Systems Category Theory 37N25, 92-10, 18A99 We develop categorical foundations of discrete dynamical systems, aimed at understanding how the structure of the system affects its dynamics. The key technical innovation is the notion of a cycle set, which provides a formal language in which to speak of the system's attractors. As a proof of concept, we provide a decomposition theorem for discrete dynamical systems. |
| title | Categorical foundations of discrete dynamical systems |
| topic | Dynamical Systems Category Theory 37N25, 92-10, 18A99 |
| url | https://arxiv.org/abs/2506.05190 |