2004/10/07 by I. Vragović, Vragović, I., E. Louis +6
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Biological Physics (physics.bio-ph) #Cell Behavior (q-bio.CB) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Biological sciences #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #physics.bio-ph #q-bio.CB #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0410171
11 pages and 13 figures
openalex publication_date 2004/10/07 · arxiv created 2005/05/19 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
The question of how network topology influences emergent synchronized oscillations in excitable media is addressed. Coupled van der Pol-FitzHugh-Nagumo elements arranged either on regular rings or on clusters of the square lattice are investigated. Clustered and declustered rings are constructed to have the same number of next-nearest-neighbors (four) and a number of links twice that of nodes. The systems are chosen to be close-to-threshold, allowing global oscillations to be triggered by a weak diversity among the constituents that, by themselves, would be non-oscillating. The results clearly illustrate the crucial role played by network topology. In particular we found that network performance (oscillatory behavior and synchronization) is mainly determined by the network average path length and by the standard deviation of path lengths. The shorter the average path length and the smaller the standard deviation, the better the network performance. Local properties, as characterized by the clustering coefficient, are less important. In addition we comment on the mechanisms that sustain synchronized oscillations and on the transient times needed to reach these stationary regimes.