Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems

¹ Departament de Física Teòrica and IFIC, Universitat de València-CSIC - 46100-Burjassot, València, Spain, EU
² School of Mathematics and Centre for Interdisciplinary Computational and Dynamical Analysis (CICADA), University of Manchester - Manchester M13 9PL, UK, EU

^a vicente.botella@uv.es
^b p.a.glendinning@manchester.ac.uk

Received: 6 December 2011
Accepted: 25 January 2012

Abstract

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks.