2020/10/04 by Amin Safaeesirat, Safaeesirat, Amin, Saman Moghimi-Araghi +1 · 1 citation
Computer Science · Neuroscience · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.2010.01493
openalex publication_date 2020/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The presence of both critical behavior and oscillating patterns in brain dynamics is a very interesting issue. In this paper, we consider a model for a neuron population, where each neuron is modeled by an over-damped rotator. We find that in the space of external parameters, there exist some regions that system shows synchronization. Interestingly, just at the transition point, the avalanche statistics show a power-law behavior. Also, in the case of small systems, the (partially) synchronization and power-law behavior can happen at the same time.