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We consider an excitatory population of subthreshold Izhikevich neurons whichexhibit noise-induced firings. By varying the coupling strength $J$, weinvestigate population synchronization between the noise-induced firings whichmay be used for efficient cognitive processing such as sensory perception,multisensory binding, selective attention, and memory formation. As $J$ isincreased, rich types of population synchronization (e.g., spike, burst, andfast spike synchronization) are found to occur. Transitions between populationsynchronization and incoherence are well described in terms of an orderparameter $\cal{O}$. As a final step, the coupling induces oscillator death(quenching of noise-induced spikings) because each neuron is attracted to anoisy equilibrium state. The oscillator death leads to a transition from firingto non-firing states at the population level, which may be well described interms of the time-averaged population spike rate $\overline{R}$. In addition tothe statistical-mechanical analysis using $\cal{O}$ and $\overline{R}$, eachpopulation and individual state are also characterized by using the techniquesof nonlinear dynamics such as the raster plot of neural spikes, the time seriesof the membrane potential, and the phase portrait. We note that populationsynchronization of noise-induced firings may lead to emergence of synchronousbrain rhythms in a noisy environment, associated with diverse cognitivefunctions.

Coupling-Induced Population Synchronization in An Excitatory Population of Subthreshold Izhikevich Neurons