An Abstract Category of Dynamical Systems

Published 14 Dec 2023 in math.DS and math.CT | (2401.09427v1)

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

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