2010/12/20 by C. A. S. Batista, R. V. Nunes, Batista, C. A. S. +12 · 2 citations
Computer Science · Engineering · Mathematics · Neuroscience · Physics and Astronomy · #Biology #Bursting #Chaotic Dynamics (nlin.CD) #Combinatorics #Complex network #Computer network #Computer science #Coupling (piping) #Coupling strength #Engineering #FOS: Physical sciences #Mathematics #Network dynamics #Neural dynamics and brain function #Neuroscience #Nonlinear Dynamics and Pattern Formation #Physics #Property (philosophy) #Small-world network #Statistical physics #Subnetwork #Synchronization (alternating current) #Synchronization networks #Topology (electrical circuits) #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1012.4512
published in arXiv (Cornell University) (Cornell University)
arxiv created 2010/12/20 · openalex publication_date 2010/12/20 · arxiv updated 2010/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the collective dynamics of bursting neurons on clustered network. The clustered network is composed of subnetworks each presenting a small-world property, and in a given subnetwork each neuron has a probability to be connected to the other subnetworks. We give bounds for the critical coupling strength to obtain global burst synchronization in terms of the network structure, i.e., intracluster and intercluster probabilities connections. As the heterogeneity in the network is reduced the network global synchronization is improved. We show that the transitions to global synchrony may be abrupt or smooth depending on the intercluster probability.