Noise-induced cooperative dynamics and its control in coupled neuron models.

Adaptive Fractional-order Control for Synchronization of Two Coupled Neurons in the External Electrical Stimulation

This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its pa...

Synchronization of noise-induced oscillations by time-delayed feedback

Abstract. We consider two mutually coupled neural populations represented by two FitzHughNagumo systems prepared at parameter values at which no autonomous oscillations occur. Each system is driven by its own source of random fluctuations realized by Gaussian white noise. We show that an extended time-delayed feedback scheme is able to influence the global cooperative dynamics of the ensemble o...

Stochastic Phase Dynamics in Neuron Models and Spike Time Reliability

The present thesis is concerned with the stochastic phase dynamics of neuron models and spike time reliability. It is well known that noise exists in all natural systems, and some beneficial effects of noise, such as coherence resonance and noise-induced synchrony, have been observed. However, it is usually difficult to separate the effect of the nonlinear system itself from the effect of noise...

Neurons‘ Arrays as Noise-addressable Memory and Noise-controlled Multi-states Switches

We discuss new aspects of the collective behavior of coupled neurons receiving noise as input, and in particular new cooperative effects between noise and an ensemble of integrate-and-fire neurons with feedback coupling. Applications of these effects as noise-addressable memory arrays and noise-controlled multi-states arrays are demonstrated. In a noise addressable neurons‘ array, the memory co...

Noise-induced Phenomena in Two Strongly Pulse-coupled Spiking Neuron Models