The concepts of equilibrium and nonequilibrium steady states are introduced in the present
review as mathematical concepts associated with stationary Markov processes. For both …

We review some recent results on the behaviour of the integrate-and-fire (IF) model, the
FitzHugh–Nagumo (FHN) model, a simplified version of the FHN (IF-FHN) model and the …

Neuronal populations receive signals through temporally inhomogeneous spike trains which
can be approximated by an input consisting of a time dependent mean value (additive …

Stochastic resonance (SR) is a phenomenon whereby the detection of a low-level signal is
enhanced in a nonlinear system by the introduction of noise. Studies of the effects of SR in …

Suprathreshold stochastic resonance (SSR) is examined in the context of integrate-and-fire
neurons, with an emphasis on the role of correlation in the neuronal firing. We employed a …

The array-enhanced stochastic resonance (AESR) in the diffusively coupled FitzHugh-
Nagumo equation is investigated. The two properties of AESR, namely, the scaling of the …

In this paper, spiking neuronal models employing means, variances, and correlations for
computation are introduced. We present two approaches in the design of spiking neuronal …

We investigate the first-passage-time statistics of the integrate–fire neuron model driven by a
sub-threshold harmonic signal superposed with a non-Gaussian noise. Here, we considered …

In this study, the collective dynamical behavior of two unidirectionally, linearly coupled
neurons was investigated. Our investigation illustrates that, depending on the coupling …

We assess, both numerically and theoretically, how positively correlated Poisson inputs
affect the output of the integrate-and-fire and Hodgkin-Huxley models. For the integrate-and …