We have analyzed spontaneous discharge dynamics of fusimotor neurons, by applying the so-called detrended fluctuation analysis, which is a modification of the random walk model analysis. Besides, we applied the wavelet analysis method to the same problem. By using these methods we have found...

We study the interspike intervals (ISI) time series of the spontaneous fusimotor neuron activity by applying the wavelet transform analysis and confirm the existence of the white noise characteristics of the ISI time series. This means that the neuron activity may serve as the requisite noisy...

A system with two correlated Gaussian white noises is analysed. This system can describe both stochastic localization and long tails in the stationary distribution. Correlations between the noises can lead to a nonmonotonic behaviour of the variance as function of the intensity of one of the...

We use Tsallis’ information measure and the recently advanced “escort-Tsallis” one in order to investigate the stochastic resonance (SR) phenomenon. In particular, on the basis of these generalized information measures (GIM), both characterized by a non-extensivity parameter q, we study...

We study the Fokker–Planck equation of one-dimensional bistable systems with symmetric as well as asymmetric potentials. In this work, the method of state-dependent diagonalization (SDD) is proposed for solving the eigenvalue problem of the associated Schrödinger equation. The example of a...

This article reviews some concepts of the Brownian Ratchet which are relevant to our discussion of mechanisms of action of Na,K-ATPase, a universal ion pump and an elemental motor protein of the biological cell. Under wide ranges of ionic compositions it can hydrolyze an ATP and use the...

Stochastic resonance (SR) induced by the bounded noise in an asymmetric bistable system is investigated. Based on stochastic simulation, the signal power amplification SPA is derived for the case of the additive modulated signal. The simulation results indicate that: (1) the SR phenomenon is...

In this article, some prominent phenomena in a two-dimensional square array of coupled nonlinear oscillators driven by a periodic signal plus white noise are presented: (i) For a subthreshold periodic signal (A⩽1-b), besides conventional stochastic resonance (SR) as a best cooperative result...

We study the phenomenon of stochastic resonance in a system of coupled neurons that are globally excited by a weak periodic input signal. We make the realistic assumption that the chemical and electrical synapses interact in the same neuronal network, hence constituting a hybrid network. By...

We study theoretically a bistable system with time-delayed feedback driven by a weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can change the shapes of the potential wells. In the...