English

Asynchronous Networks: Modularization of Dynamics Theorem

Dynamical Systems 2017-02-07 v1 Adaptation and Self-Organizing Systems

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.

Keywords

Cite

@article{arxiv.1702.01174,
  title  = {Asynchronous Networks: Modularization of Dynamics Theorem},
  author = {Christian Bick and Michael Field},
  journal= {arXiv preprint arXiv:1702.01174},
  year   = {2017}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1509.04045

R2 v1 2026-06-22T18:09:03.745Z