An Abstract Category of Dynamical Systems
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913198963163136 |
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| author | Schmidt, James |
| author_facet | Schmidt, James |
| contents | A notion of time is fundamental in the study of dynamical systems. Time arises as a standalone dynamical system and also in solutions or trajectories as a special kind of map between systems. We characterize time by a universal property and use universality to motivate an abstract definition for categories of dynamical systems. We propose this definition as guidance in concrete instantiations for other kinds of systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09427 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Abstract Category of Dynamical Systems Schmidt, James Dynamical Systems Category Theory A notion of time is fundamental in the study of dynamical systems. Time arises as a standalone dynamical system and also in solutions or trajectories as a special kind of map between systems. We characterize time by a universal property and use universality to motivate an abstract definition for categories of dynamical systems. We propose this definition as guidance in concrete instantiations for other kinds of systems. |
| title | An Abstract Category of Dynamical Systems |
| topic | Dynamical Systems Category Theory |
| url | https://arxiv.org/abs/2401.09427 |