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 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 response of a nonlinear optical oscillator subject to a delayed broadband bandpass
filtering feedback is studied experimentally, numerically, and analytically. The oscillator loop …

The phenomenon of stochastic resonance in a bistable system with time-delayed feedback
driven by non-Gaussian noise is investigated. Combining the small time delay …

This review article surveys the recent advances in the dynamics and control of time-delay
systems, with emphasis on the singular perturbation methods, such as the method of …

We describe some remarkable continuous deformations which create and destroy peaks in
periodic oscillations of the Mackey–Glass equation, a paradigmatic example of a delayed …

The dynamical behavior of various physical and biological systems under the influence of
delayed feedback or coupling can be modeled by including terms with delayed arguments in …

We consider a typical class of systems with delayed nonlinearity, which we show to exhibit
chaotic diffusion. It is demonstrated that a periodic modulation of the time lag can lead to an …

We describe in elementary terms how eigenmode expansions can be used to deal with
differential-difference equations. As particular applications we present the full analytical …