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arXiv · 2401.09427

An Abstract Category of Dynamical Systems

James Schmidt
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Abstract

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.

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James Schmidt. 2023-12-14. An Abstract Category of Dynamical Systems. https://arxiv.org/abs/2401.09427

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