Complex phenomena in photonics, in particular, dynamical properties of semiconductor
lasers due to delayed coupling, are reviewed. Although considered a nuisance for a long …

Research on the synchronization of delay-coupled oscillator networks is reviewed. A
number of key research approaches using different models and methods are described, and …

Biofilm communities of Bacillus subtilis bacteria have recently been shown to exhibit
collective growth-rate oscillations mediated by electrochemical signaling to cope with …

For a feedforward loop of oscillatory Hodgkin-Huxley neurons interacting via excitatory
chemical synapses, we show that a great variety of spatiotemporal periodic firing patterns …

Numerical and experimental investigations of time delay concealment and chaos bandwidth
enhancement in three semiconductor lasers with a cascade scheme are presented. The …

We consider the paradigmatic Kuramoto oscillators coupled via an adaptive mean-field
variable that breaks the rotational symmetry. The evolution equation for the mean-field …

Symmetry breaking—the phenomenon in which the symmetry of a system is not inherited by
its stable states—underlies pattern formation, superconductivity and numerous other effects …

In this paper, we study dynamical systems in which a large number N of identical Landau-
Stuart oscillators are globally coupled via a mean-field. Previously, it has been observed that …

We study structure formation in two-dimensional turbulence driven by an external force,
interpolating between linear instability forcing and random stirring, subject to nonlinear …

Dynamical systems with complex delayed interactions arise commonly when propagation
times are significant, yielding complicated oscillatory instabilities. In this Letter, we introduce …