Logo

Dynamical Systems and Sheaves

Small book cover: Dynamical Systems and Sheaves

Dynamical Systems and Sheaves
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(610KB, PDF)

Similar books

Book cover: Categories, Types, and StructuresCategories, Types, and Structures
by - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
(18998 views)
Book cover: Mixed MotivesMixed Motives
by - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
(15126 views)
Book cover: Category TheoryCategory Theory
- Wikibooks
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
(12248 views)
Book cover: Model Categories and Simplicial MethodsModel Categories and Simplicial Methods
by - 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.
(10186 views)