We studied the motion of an underdamped Brownian particle in a periodic potential subject to a harmonic excitation and a colored noise. The average input energy per period and the phase lag are calculated to quantify the phenomenon of stochastic resonance (SR). The numerical results show that...

We outline two interesting phenomena, stochastic resonance and ratchets, in which the fluctuating environment is utilized. Some new manifestations of these phenomena are illustrated by the example of overdamped driven pendulum with fluctuating internal and external parameters.

The biological systems described as soft matter on mesoscopic scales manifest, in contrast to hard (condensed) matter, a number of characteristics: complexity, flexibility, and fluctuations. Due to these, there arise a variety of conformational and nonequilibrium phase transitions at...

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...

Here we present a study of stochastic resonance (SR) in an extended FitzHugh–Nagumo system with a field dependent activator diffusion. We show that the system response (here measured through the output signal-to-noise ratio (SNR)) is enhanced due to the particular form of the non-homogeneous...

Stochastic resonance (SR) induced by the signal modulation is investigated, by introducing the signal-modulated gain into a single-mode laser system. Using the linear approximation method, we detailedly calculate the signal-to-noise ratio (SNR) of a gain-noise model of the single-mode laser,...

We introduce a simple model of opinion dynamics in which a two-state agent modified Sznajd model evolves due to the simultaneous action of stochastic driving and a periodic signal. The stochastic effect mimics a social temperature, so the agents may adopt decisions in support for or against some...

Bistable system is a typical model in stochastic resonance (SR) researching. And it has been known that the deterministic dynamics of a noised system plays an important role in making SR phenomena occur. By embedding a non-autonomous system onto a cylinder, or extending the one-dimensional...

A stochastic resonator constructed of three discrete states is proposed to explain microscopically why one applies the Arrhenius-type relaxation time to the time scale of thermal relaxation of each two-state kinetic Ising spin in previous papers which have studied stochastic resonance using...

We study the stochastic resonance phenomenon in saturating dynamical models of neural signal transduction, at the synaptic stage, wherein the noise in multipathways enhances the processing of neuronal information integrated by excitatory and inhibitory synaptic currents. For an excitatory...