The time needed to exchange information in the physical world induces a delay term when
the respective system is modeled by differential equations. Time delays are hence …

We study time-delayed stochastic systems that can be described by means of so-called
delay Fokker-Planck equations. Using Novikov's theorem, we first show that the theory of …

We study nonlinear stochastic systems with time-delayed feedback using the concept of
delay Fokker-Planck equations introduced by Guillouzic, L'Heureux, and Longtin. We derive …

We report the first observation of non-Markovian stochastic resonance (SR), and we
discover that memory effects in the nonlinearity extremely enlarge the SR bandwidth. Our …

We perform a theoretical investigation of the polarization dynamics in a vertical-cavity
surface-emitting laser (VCSEL) subject to orthogonal optical injection, ie, the injected field …

The correspondence between long-delayed systems and one-dimensional spatially
extended media enables a direct interpretation of purely temporal phenomena in terms of …

In this paper, we investigate stochastic resonance (SR) in a delayed triple-well potential
subject to correlated noises and a harmonic signal. The stationary probability density …

The impacts of two different forms of time-delays on vibrational resonance are explored in a
gene regulatory model excited by both a low-frequency force and a high-frequency force …

The one-dimensional motion of a massless Brownian particle on a symmetric periodic
substrate can be rectified by reinjecting its driving noise through a realistic recycling …

We study stochastic resonance (SR) phenomenon in the fractional oscillator with time delay
and damping fluctuation, analyze the impact of time delay and fractional damping as two …