We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

We study the effects of periodic subthreshold pacemaker activity and time-delayed coupling
on stochastic resonance over scale-free neuronal networks. As the two extreme options, we …

This book contains comprehensive descriptions of stochastic processes described by
underdamped and overdamped oscillator equations with additive and multiplicative random …

Sensory processing is modulated by attention, which is a function of network states. Here we
show that changes in such states do more than a simple gating of stimuli: they actually re …

We study the stochastic dynamics of an ensemble of N globally coupled excitable elements.
Each element is modeled by a FitzHugh–Nagumo oscillator and is disturbed by independent …

Some experimental results have confirmed that a spiral wave could be observed in the
cortex of brain. The biological Hodgkin–Huxley neurons are used to construct a regular …

The paper considers an excitable Hodgkin-Huxley system subjected to a strong periodic
forcing in the presence of random noise. The influence of the forcing frequency on the …

Spintronic neurons that emit sharp voltage spikes are required for the realization of
hardware neural networks enabling fast data processing with low power consumption. In …

We study the phenomenon of spatial coherence resonance (SCR) on Hodgkin–Huxley (HH)
neuronal networks that are characterized with information transmission delay. In particular …

The properties of the harmonic oscillator with random frequency or/and random damping
formed the content of the first edition. The second edition includes hundreds of publications …