Open sub-categorical dynamics in interaction

TL;DR

This paper introduces the concept of open sub-categorical dynamics, explores their interactions, and demonstrates a stability theorem that underpins the theoretical framework.

Contribution

It defines open sub-categorical dynamics, analyzes their interactions, and proves a stability theorem, advancing the theoretical understanding of these systems.

Findings

Introduction of open sub-categorical dynamics

Proof of a stability theorem for these dynamics

Framework for interactions and generated dynamics

Abstract

The aim of this paper is to define what we call open sub-categorical dynamics, their interactions and the sub-categorical dynamics produced by those interactions, thanks to the stability theorem we prove here and which motivates all this study.