Interacting open dynamics
Category Theory
2020-07-30 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.2007.14784,
title = {Interacting open dynamics},
author = {Stéphane Dugowson},
journal= {arXiv preprint arXiv:2007.14784},
year = {2020}
}
Comments
Cahiers de Topologie et G{\'e}om{\'e}trie diff{\'e}rentielles cat{\'e}goriques, In press, 2020, LXI (4)