Next Article in Journal
The Interaction Analysis between the Sympathetic and Parasympathetic Systems in CHF by Using Transfer Entropy Method
Previous Article in Journal
Evaluation of Systems’ Irregularity and Complexity: Sample Entropy, Its Derivatives, and Their Applications across Scales and Disciplines
Article Menu
Issue 10 (October) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(10), 793; https://doi.org/10.3390/e20100793

An Information-Theoretic Approach to Self-Organisation: Emergence of Complex Interdependencies in Coupled Dynamical Systems

1
Department of Mathematics, Imperial College London, London SW7 2AZ, UK
2
Centre of Complexity Science, Imperial College London, London SW7 2AZ, UK
3
Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2AZ, UK
4
Department of Computing, Imperial College London, London SW7 2AZ, UK
5
CoDE Department, Université Libre de Bruxelles, B-1050 Brussels, Belgium
6
Institute of Innovative Research, Tokyo Institute of Technology, Yokohama 226-8502, Japan
*
Author to whom correspondence should be addressed.
Received: 16 August 2018 / Revised: 3 October 2018 / Accepted: 3 October 2018 / Published: 16 October 2018
(This article belongs to the Section Complexity)
Full-Text   |   PDF [838 KB, uploaded 16 October 2018]   |  

Abstract

Self-organisation lies at the core of fundamental but still unresolved scientific questions, and holds the promise of de-centralised paradigms crucial for future technological developments. While self-organising processes have been traditionally explained by the tendency of dynamical systems to evolve towards specific configurations, or attractors, we see self-organisation as a consequence of the interdependencies that those attractors induce. Building on this intuition, in this work we develop a theoretical framework for understanding and quantifying self-organisation based on coupled dynamical systems and multivariate information theory. We propose a metric of global structural strength that identifies when self-organisation appears, and a multi-layered decomposition that explains the emergent structure in terms of redundant and synergistic interdependencies. We illustrate our framework on elementary cellular automata, showing how it can detect and characterise the emergence of complex structures. View Full-Text
Keywords: self-organisation; multivariate information theory; coupled dynamical systems; partial information decomposition; statistical synergy; high-order interactions self-organisation; multivariate information theory; coupled dynamical systems; partial information decomposition; statistical synergy; high-order interactions
Figures

Graphical abstract

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Rosas, F.; Mediano, P.A.; Ugarte, M.; Jensen, H.J. An Information-Theoretic Approach to Self-Organisation: Emergence of Complex Interdependencies in Coupled Dynamical Systems. Entropy 2018, 20, 793.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top