**Dynamical Systems and Sheaves**

by D. I. Spivak, C. Vasilakopoulou, P. Schultz

**Publisher**: arXiv 2016**Number of pages**: 65

**Description**:

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.

Download or read it online for free here:

**Download link**

(610KB, PDF)

## Similar books

**Higher Operads, Higher Categories**

by

**Tom Leinster**-

**arXiv**

Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.

(

**8007**views)

**Category Theory for the Sciences**

by

**David I. Spivak**-

**The MIT Press**

This book shows that category theory can be useful outside of mathematics as a flexible modeling language throughout the sciences. Written in an engaging and straightforward style, the book is rigorous but accessible to non-mathematicians.

(

**2006**views)

**Model Categories and Simplicial Methods**

by

**Paul Goerss, Kristen Schemmerhorn**-

**Northwestern University**

There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.

(

**5922**views)

**Toposes, Triples and Theories**

by

**Michael Barr, Charles Wells**-

**Springer-Verlag**

Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.

(

**9893**views)