Cluster Burst Synchronization in A Scale-Free Network of Inhibitory Bursting Neurons
Sang-Yoon Kim, Woochang Lim

TL;DR
This study explores how varying synaptic coupling strength influences cluster burst synchronization in a scale-free network of inhibitory neurons, revealing multiple phase transitions and the impact of noise on synchronization patterns.
Contribution
It introduces a detailed analysis of coupling-induced cluster synchronization and its breakdown in inhibitory neuronal networks, highlighting the roles of different coupling thresholds and noise effects.
Findings
Identification of critical coupling thresholds for cluster formation and synchronization.
Observation of intermittent intercluster hoppings disrupting cluster structure.
Demonstration of noise effects on burst synchronization and intercluster dynamics.
Abstract
We consider a scale-free network of inhibitory Hindmarsh-Rose (HR) bursting neurons, and investigate coupling-induced cluster burst synchronization by varying the average coupling strength . For sufficiently small , non-cluster desynchronized states exist. However, when passing a critical point , the whole population is segregated into 3 clusters via a constructive role of synaptic inhibition to stimulate dynamical clustering between individual burstings, and thus 3-cluster desynchronized states appear. As is further increased and passes a lower threshold , a transition to 3-cluster burst synchronization occurs due to another constructive role of synaptic inhibition to favor population synchronization. In this case, HR neurons in each cluster exhibit burst synchronization. However, as passes an intermediate threshold…
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Taxonomy
TopicsNeural dynamics and brain function · stochastic dynamics and bifurcation · Nonlinear Dynamics and Pattern Formation
