We present a systematic approach to reveal the correspondence between time delay
dynamics and networks of coupled oscillators. After early demonstrations of the usefulness …

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 the dynamics of a damped harmonic oscillator in the presence of a retarded
potential with state-dependent time-delayed feedback. In the limit of small time-delays, we …

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 …

We have studied the rich dynamics of a damped particle inside an external double-well
potential under the influence of state-dependent time-delayed feedback. In certain regions of …

The dynamics of a two-dimensional autophoretic disk is quantified as a minimal model for
the chaotic trajectories undertaken by active droplets. Via direct numerical simulations, we …

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 …