The dynamics of waveguide-QED systems involving coherent time-delayed feedback give rise to a hierarchy multitime correlations within the Heisenberg picture due induced non-Markovianity. We propose perform projection onto complete set states in Hilbert space decompose into single-time matrix elements. To illustrate procedure, we consider paradigmatic example two-level system that couples semi-i...

Motivated by improving performance of a bi-stable vibration energy harvester (VEH) from the viewpoint control, time-delayed feedback control displacement and velocity are constructively proposed into an electromechanical coupled VEH mounted on rotational automobile tire, which is subject to colored noise periodic excitation. Using improved stochastic averaging procedure based energy-dependent f...

The use of delayed feedback of position for the control of oscillatory behaviour is analysed. It is shown that linear feedback can annihilate limit cycles and stabilize the origin. Furthermore, it is possible to create an asymptotically stable limit cycle with any prescribed amplitude using a simple nonlinear feedback. For almost all values of the delay, these feats can be achieved without usin...

Synopsis Most of the convergence results appearing so far for delayed Lotka-Volterra-type systems require that undelayed negative feedback dominate both delayed feedback and interspecific interactions. Such a requirement is rarely met in real systems. In this paper we present convergence criteria for systems without instantaneous feedback. Roughly, our results suggest that in a Lotka-Volterra-t...