Time delays play an important role in many fields such as engineering, physics or biology.
Delays occur due to finite velocities of signal propagation or processing delays leading to …

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 …

A type of chaos called laminar chaos was found in singularly perturbed dynamical systems
with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)] 0031-9007 …

A new type of dynamics called laminar chaos was recently discovered through a theoretical
analysis of a scalar delay differential equation with time-varying delay. Laminar chaos is a …

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find
diffusive trajectories, which share their appearance with that of laminar chaotic diffusion …

Inspired by the recent observation of memory effects in the nonlinear optical response of a
coherently-driven micro-cavity, we investigate the effects of varying the memory time on the …

Recently, it was shown that certain systems with large time-varying delay exhibit different
types of chaos, which are related to two types of time-varying delay: conservative and …

We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems
with linear instantaneous and nonlinear delayed term can be well described by an …

We demonstrate that standard delay systems with a linear instantaneous and a delayed
nonlinear term show weak chaos, asymptotically subdiffusive behavior, and weak ergodicity …

We show that introducing quenched disorder into a circle map leads to the suppression of
quasiperiodic behavior in the limit of large system sizes. Specifically, for most parameters …