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 develop a novel lifting technique for nonlinear system identification based on the
framework of the Koopman operator. The key idea is to identify the linear (infinite …

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 show that the output of systems with time-varying delay can exhibit a new kind of chaotic
behavior characterized by laminar phases, which are periodically interrupted by irregular …

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 study laminar chaos in an electronic experiment. A two-diode nonlinear circuit with
delayed feedback shows chaotic dynamics similar to the Mackey-Glass or Ikeda delay …

We demonstrate that a time-varying delay in nonlinear systems leads to a rich variety of
dynamical behaviour, which cannot be observed in systems with constant delay. We show …

A new type of chaos is discovered recently (Müller et al. in Phys Rev Lett 120: 084102,
2018), namely the laminar chaos that is exhibited by time-varying-time-delay systems …