Abstract
Many networks describing complex systems are directed: the interactions between elements are not symmetric. Recent work has shown that these networks can display properties such as trophic coherence or non-normality, which in turn affect stability, percolation and other dynamical features. I show here that these topological properties have a common origin, in that the edges of directed networks can be aligned—or not—with a global direction. And I illustrate how this can lead to rich and unexpected dynamical behaviour even in the simplest of models.
| Original language | English |
|---|---|
| Article number | 015003 |
| Journal | Journal of Physics: Complexity |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 29 May 2020 |
Bibliographical note
Funding Information:I have benefitted greatly in my work on this topic from conversations with many colleagues, including Robert MacKay, Bazil Sansom, Nicholas Beale, Richard Gunton, Marcus Miller, Miguel A Muñoz, Virginia Domínguez, Janis Klaise, Serena Di Santo, Nick Jones, Weisi Guo, Charlie Pilgrim and Guillem Mos-quera. I am grateful for the support of the Economic and Social Research Council (UK), through Grant ES/R00787X/1. This was awarded via a call from the Instability Hub of the National Institute for Economic and Social Research (NIESR). I also acknowledge support from the Alan Turing Institute under EPSRC Grant EP/N510129/1.
Publisher Copyright:
© 2020 The Author(s). Published by IOP Publishing Ltd
Keywords
- Directed networks
- Networks
- Non-normality
- Percolation
- Stability
- Trophic coherence
ASJC Scopus subject areas
- Artificial Intelligence
- Computer Networks and Communications
- Computer Science Applications
- Information Systems