2007/06/30 by Ernest Barreto, Brian Hunt, Brian R. Hunt +2 · 4 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Neuroscience · #Gene Regulatory Network Analysis #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #math.DS #msc:34C15 #msc:92B20 #msc:92B99
paper · pdf · doi:10.1103/physreve.77.036107
The original was replaced with a version that has been accepted to Phys. Rev. E. The new version has the same content, but the title, abstract, and the introductory text have been revised
arxiv created 2008/01/24 · openalex publication_date 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a given population are heterogeneous in that their natural frequencies are drawn from a given distribution, and each population has its own such distribution. The coupling among the oscillators is global, however, we permit the coupling strengths between the members of different populations to be separately specified. We determine the critical condition for the onset of coherent collective behavior, and develop the illustrative case in which the oscillator frequencies are drawn from a set of (possibly different) Cauchy-Lorentz distributions. One motivation is drawn from neurobiology, in which the collective dynamics of several interacting populations of oscillators (such as excitatory and inhibitory neurons and glia) are of interest.