Interacting open dynamics

TL;DR

This paper introduces a systemic theory for interacting non-deterministic open dynamics, defining their structure, interaction mechanisms, and how they generate complex global behaviors, with initial connectivity concepts outlined.

Contribution

It presents a novel framework modeling open dynamics as lax-functors and formalizes their interaction processes, advancing the theoretical understanding of complex dynamical systems.

Findings

Defined open dynamics as lax-functors

Introduced interaction notions using requests and synchronization

Outlined initial connectivity structures

Abstract

This paper presents the basic concepts of a systemic theory of interaction between non-deterministic open dynamics with varying temporalities, which includes three stages: the definition of these dynamics as lax-functors, the notion of interaction -- which uses some notions of requests, synchronizations and social modes (privacy) -- and finally the generation of open global dynamics. Some connectivity structures of an interaction are defined, but the other aspects of dynamical connectivity are left to further work.