Over the last two decades, stochastic resonance has continuously attracted considerable
attention. The term is given to a phenomenon that is manifest in nonlinear systems whereby …

Multistability is the phenomenon of multiple coexistent stable states, which are highly
sensitive to perturbations, initial conditions, system parameters, etc. Multistability has been …

Transport phenomena in spatially periodic systems far from thermal equilibrium are
considered. The main emphasis is put on directed transport in so-called Brownian motors …

A contemporary review on the behavior of driven tunneling in quantum systems is
presented. Diverse phenomena, such as control of tunneling, higher harmonic generation …

Noise in dynamical systems is usually considered a nuisance. But in certain nonlinear
systems, including electronic circuits and biological sensory apparatus, the presence of …

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined
with unbiased external input signals, deterministic and random alike, can assist directed …

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 …

Fault detection is a key tool to ensure the safety and reliability of machinery. In machinery
fault detection, signal processing methods are extensively applied to extract fault …

A model of a two-dimensional autonomous system subject to external noise is investigated.
Without noise the system has a stable limit cycle in a certain region of control parameter …

Noise is usually thought of as the enemy of order rather than as a constructive influence. In
nonlinear systems that possess some sort of threshold, random noise plays a beneficial role …