Critical behaviour at the onset of synchronization in a neuronal model
arXiv:2010.01493
Abstract
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.
arXiv comment13 Pages, 10 Figures
References in corpus (14)
- Optimal Dynamical Range of Excitable Networks at Criticality
- Dynamical synapses causing self-organized criticality in neural networks
- Griffiths phases and the stretching of criticality in brain networks
- Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics
- Self-Organized Criticality model for Brain Plasticity
- Landau-Ginzburg theory of cortex dynamics: Scale-free avalanches emerge at the edge of synchronization
- Adaptive self-organization in a realistic neural network model
- Collective behavior of heterogeneous neural networks
- Growing Critical: Self-Organized Criticality in a Developing Neural System
- Hybrid-type synchronization transitions: where marginal coherence, scale-free avalanches, and bistability live together
- Time-series thresholding and the definition of avalanche size
- On the scaling of probability density functions with apparent power-law exponents less than unity
- Cooperation in Neural Systems: Bridging Complexity and Periodicity
- Spike-Phase Coupling As an Order Parameter in a Leaky Integrate-and-Fire Model