title: Network structure, topology, and dynamics in generalized models of synchronization.
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.
authors.affiliation: Information Sciences Institute, University of Southern California, Marina del Rey, California 90292, USA.
authors.forename: Kristina
authors.initials: K
authors.lastname: Lerman
authors.forename: Rumi
authors.initials: R
authors.lastname: Ghosh
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D006801:Humans; D016014:Linear Models; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D012919:Social Behavior; D012944:Social Support