We study the overdamped motion of a Brownian particle in a driven double-well system to understand various physical phenomena observed experimentally. These phenomena include hysteresis, stochastic resonance, and net undirectional motion in a symmetric periodic system. We argue that the area of...

The system of two nonlinear stochastic equations simulating 1/f fluctuations during the interaction of nonequilibrium phase transitions in the presence of an external periodic action has been studied by numerical methods. It is shown that in the system there appears stochastic resonance, which...

We present simple classical dynamical models to illustrate the idea of introducing a stochasticity with non-locality into the time variable. For stochasticity in time, these models include noise in the time variable but not in the “space” variable, which is opposite to the normal description...

Stochastic resonance is investigated in a system of threshold elements located at nodes and coupled along edges of a Barabási–Albert network, driven by a common subthreshold periodic signal and independent noises. Array-enhanced stochastic resonance is observed, i.e., increase of the spectral...

The phenomenon of stochastic resonance has recently been found in many systems. Despite the pre-conception of a destructive role of noise, its constructive role has been recognised, in particular in amplification of weak external signals, thereby facilitating signal detection and transduction in...

Here we study stochastic resonance (SR) in a spatially extended system described by a reaction–diffusion equation for a scalar (activator-like) field including a nonlocal contribution. We assume that such a contribution arises from an effective adiabatic elimination of an auxiliary...

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic mixing consists of a first signal with a basic frequency Ω...

We have studied the stimulated discharge dynamics of fusimotor neurons by applying the wavelet transform technique and by adopting that the neuronal discharge dynamics is manifested by the random time series of interspike intervals. We found two different power-law type behaviors along...

A bistable model of a financial market is considered, aimed at modelling financial crashes and bubbles, based on the Ising model with thermal-bath dynamics and long-range interactions, subject to a weak external information-carrying signal and noise. In the ordered phase, opposite stable...

We present an analytical study of the enhancement of the signal-to-noise ratio in a monostable non-harmonic potential. We make use of the exact expression for the diffusion propagator obtained in a previous work, finding a monotonically increasing response with the noise amplitude. On the other...