Synchronization of pulse-coupled biological oscillators
SIAM Journal on Applied Mathematics
Self-sustained firing in populations of integrate-and-fire neurons
SIAM Journal on Applied Mathematics
Relevance of dynamic clustering to biological networks
Proceedings of the NATO advanced research workshop and EGS topical workshop on Chaotic advection, tracer dynamics and turbulent dispersion
Pulse-coupled decentral synchronization
SIAM Journal on Applied Mathematics
Dynamical cell assembly hypothesis—theoretical possibility of spatio-temporal coding in the cortex
Neural Networks - 1996 Special issue: four major hypotheses in neuroscience
Spikes: exploring the neural code
Spikes: exploring the neural code
Periodic and Synchronic Firing in an Ensemble of Identical Stochastic Units: Structural Stability
IWANN '99 Proceedings of the International Work-Conference on Artificial and Natural Neural Networks: Foundations and Tools for Neural Modeling
IEEE Transactions on Neural Networks
Phase Transition and Hysteresis in an Ensemble of Stochastic Spiking Neurons
Neural Computation
IWANN'03 Proceedings of the Artificial and natural neural networks 7th international conference on Computational methods in neural modeling - Volume 1
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The population dynamics of an ensemble of nonleaky integrate-and-fire stochastic neurons is studied. The model selected allows for a detailed analysis of situations where noise plays a dominant role. Simulations in a regime with weak to moderate interactions show that a mechanism of excitatory message interchange among the neurons leads to a decrease in the firing period dispersion of the individual units. The dispersion reduction observed is larger than what would be expected from the decrease in the period. This "period focusing" is explained using a mean-field model. It is a dynamical effect that arises from the progressive decrease of the effective firing threshold as a result of the messages received by each unit from the rest of the population. A back-of-the-envelope formula to calculate this nontrivial dispersion reduction and a simple geometrical description of the effect are also provided.