# Asynchronous Networks: Modularization of Dynamics Theorem

## TL;DR

This paper develops a comprehensive theory for functional asynchronous networks, demonstrating that many can be uniquely represented as feedforward networks, enabling a complete description of their functions through modular components.

## Contribution

It introduces the Modularization of Dynamics Theorem, providing a novel framework to represent and analyze asynchronous networks as interconnected modules.

## Key findings

- Many asynchronous networks can be represented as feedforward networks
- Complete description of network function via modular components
- Illustrative examples demonstrating the theory

## Abstract

Building on the first part of this paper, we develop the theory of functional asynchronous networks. We show that a large class of functional asynchronous networks can be (uniquely) represented as feedforward networks connecting events or dynamical modules. For these networks we can give a complete description of the network function in terms of the function of the events comprising the network: the Modularization of Dynamics Theorem. We give examples to illustrate the main results.