2006/01/17 by Hideo Hasegawa, Hasegawa, Hideo
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0601358
15 pages, 6 figures
arxiv created 2006/01/17 · openalex publication_date 2006/01/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We have studied the synchronization in finite N-unit FitzHugh-Nagumo neuron ensembles subjected to additive and multiplicative noises, by using the augmented moment method (AMM) which is reformulated with the use of the Fokker-Planck equation. It has been shown that for diffusive couplings, the synchronization may be enhanced by multiplicative noises while additive noises are detrimental to the synchronization. In contrast, for sigmoid coupling, both additive and multiplicative noises deteriorate the synchronization. The synchronization depends not only on the type of noises but also on the kind of couplings.