Woochang Lim

Coupling-induced population synchronization in an excitatory population of subthreshold Izhikevich neurons

We consider an excitatory population of subthreshold Izhikevich neurons which exhibit noise-induced firings. By varying the coupling strength J, we investigate population synchronization between the noise-induced firings which may be used for efficient cognitive processing such as sensory perception, multisensory binding, selective attention, and memory formation. As J is increased, rich types of population synchronization (e.g., spike, burst, and fast spike synchronization) are found to occur. Transitions between population synchronization and incoherence are well described in terms of an order parameter

Thermodynamic order parameters and statistical–mechanical measures for characterization of the burst and spike synchronizations of bursting neurons

\mathcal{O}

Fast sparsely synchronized brain rhythms in a scale-free neural network.

O. As a final step, the coupling induces oscillator death (quenching of noise-induced spikings) because each neuron is attracted to a noisy equilibrium state. The oscillator death leads to a transition from firing to non-firing states at the population level, which may be well described in terms of the time-averaged population spike rate

Strange Nonchaotic Responses of the Quasiperiodically Forced Morris-Lecar Neuron

\overline{R}

Dynamical responses to external stimuli for both cases of excitatory and inhibitory synchronization in a complex neuronal network

R¯. In addition to the statistical-mechanical analysis using