Network structure, topology, and dynamics in generalized models of synchronization

Kristina Lerman and Rumi Ghosh
Phys. Rev. E 86, 026108 – Published 13 August 2012

Abstract

Network structure is a product of both its topology and interactions between its nodes. We explore this claim using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state, nodes synchronize in stages, revealing the network's underlying community structure. Traditional models of synchronization assume that interactions between nodes are mediated by a conservative process similar to diffusion. However, social and biological processes are often nonconservative. We propose a model of synchronization in a network of oscillators coupled via nonconservative processes. We study the dynamics of synchronization of a synthetic and real-world networks and show that the traditional and nonconservative models of synchronization reveal different structures within the same network.

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  • Received 29 February 2012

DOI:https://doi.org/10.1103/PhysRevE.86.026108

©2012 American Physical Society

Authors & Affiliations

Kristina Lerman and Rumi Ghosh

  • Information Sciences Institute, University of Southern California, 4676 Admiralty Way, Marina del Rey, California 90292, USA

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Issue

Vol. 86, Iss. 2 — August 2012

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