Dynamical Systems and Sheaves by D. I. Spivak, C. Vasilakopoulou, P. Schultz
Publisher: arXiv 2016
Number of pages: 65
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time. Special cases include discrete, continuous, and hybrid dynamical systems. A central goal is to understand the systems that result from arbitrary interconnection of component subsystems.
Mathematics Category Theory