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 …

The influence of bounded noise and time delay on the sub–threshold signal transmission in
FitzHugh–Nagumo neuronal networks is studied in this paper. It is found that the signal …

Qu'est-ce que le passé, sinon du présent qui est en retard? Pierre Dac (l'osa moelle, March
1940) Modeling automatic engines or physiological systems often involves the idea of …

We consider a discrete-time random walk where the random increment at time step t
depends on the full history of the process. We calculate exactly the mean and variance of the …

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 …

The influences of chaotic activity and time delay on the transmission of the sub-threshold
signal (STS) in a single FitzHugh-Nagumo neuron and coupled neuronal networks are …

In this paper, the mean first-passage times and the stochastic resonance in an asymmetric tri-
stable system are studied by considering time-delayed feedback, which is driven by a …

In this paper, we investigate the stochastic resonance phenomenon in a vegetation
ecological system with time delay, at which the vegetation dynamics is assumed to be …

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 …