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Abstract Interaction equations governing slow time evolution of the coordinates and phases of two interacting temporal cavity solitons in a delay differential equation model of a nonlinear mirror mode-locked laser are derived and analyzed.…

Optics · Physics 2022-04-27 Andrei G. Vladimirov

We investigate a driven, one-dimensional system of colloidal particles in a periodically currogated narrow channel subject to a time-delayed feedback control. Our goal is to identify conditions under which the control induces oscillatory,…

Soft Condensed Matter · Physics 2015-06-11 Ken Lichtner , Andrey Pototsky , Sabine H. L. Klapp

We describe an efficient approach to modelling cavity quantum electrodynamics (QED) with a time-delayed coherent feedback using quantum trajectory simulations. An analytical set of equations is derived to exploit the advantages of…

Quantum Physics · Physics 2020-02-12 Gavin Crowder , Howard Carmichael , Stephen Hughes

It is well-known that some nonlinear phenomena such as strong photon blockade are hard to be observed in optomechanical system with current experimental technology. Here, we present a coherent feedback control strategy in which a linear…

Quantum Physics · Physics 2014-07-14 Yu-Long Liu , Zhong-Peng Liu , Jing Zhang , Yu-xi Liu

In this paper we study the formation and dynamics of self-propelled cavity solitons (CSs) in a model for vertical cavity surface-emitting lasers (VCSELs) subjected to external frequency selective feedback (FSF), and build their bifurcation…

Pattern Formation and Solitons · Physics 2009-08-28 P. V. Paulau , D. Gomila , P. Colet , M. A. Matias , N. A. Loiko , W. J. Firth

The purpose of this paper is to study the dynamics of a quantum coherent feedback network, where an $N$-level atom is coupled with a cavity and the cavity is also coupled with single or multiple parallel waveguides. When the atom is…

Quantum Physics · Physics 2025-04-21 Haijin Ding , Guofeng Zhang

We present a novel scheme to stabilize high-frequency domain oscillations in semiconductor superlattices by a time-delayed feedback loop. Applying concepts from chaos control theory we propose to control the spatio-temporal dynamics of…

Condensed Matter · Physics 2007-05-23 J. Schlesner , A. Amann , N. B. Janson , W. Just , E. Schöll

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

Closed-loop or feedback control ratchets use information about the state of the system to operate with the aim of maximizing the performance of the system. In this paper we investigate the effects of a time delay in the feedback for a…

Statistical Mechanics · Physics 2007-12-13 M. Feito , F. J. Cao

We generalize a method of control of chaos which uses delayed feedback at the period of an unstable orbit to stabilize that orbit. The generalization consists of substituting some portion of the nonlinear dynamical system with a delayed…

Condensed Matter · Physics 2008-02-03 M. de Sousa Vieira , A. J. Lichtenberg

Quantum coherent feedback has been proven to be an efficient way to tune the dynamics of quantum optical systems and, recently, those of solid-state quantum circuits. Here, inspired by the recent progress of quantum feedback experiments,…

Quantum Physics · Physics 2014-01-08 Zhong-Peng Liu , Hui Wang , Jing Zhang , Yu-xi Liu , Re-Bing Wu , Franco Nori

Based on dynamical density functional theory (DDFT) we consider a non-equilibrium system of interacting colloidal particles driven by a constant tilting force through a periodic, symmetric "washboard" potential. We demonstrate that, despite…

Soft Condensed Matter · Physics 2015-05-19 Ken Lichtner , Sabine H. L. Klapp

We consider a robust stabilization of the fourth-order oscillatory systems with non-collocated output sensing. Worth recalling is that the fourth-order systems are relatively common in mechatronics as soon as there are two-mass or more…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Michael Ruderman

The effect of external feedback on the oscillation characteristics of a device with the virtual cathode is investigated by the method of numerical modeling. A strong influence of the feedback phase delay onthe frequency and power level of…

Plasma Physics · Physics 2007-05-23 Alexander Hramov

We report on a systematic study of temporal Kerr cavity soliton dynamics in the presence of pulsed or amplitude modulated driving fields. In stark contrast to the more extensively studied case of phase modulations, we find that Kerr cavity…

We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and injection of the feedback signal cannot be ignored. We…

Chaotic Dynamics · Physics 2009-11-10 Philipp Hövel , Joshua E. S. Socolar

Driven optical cavities containing a nonlinear medium support stable dissipative solitons, cavity solitons, in the form of bright or dark spots of light on a uniformly-lit background. Broadening effects due to diffraction or group velocity…

Optics · Physics 2025-09-09 Gian-Luca Oppo , William J. Firth

For controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properties of the control signal, at least if a periodic but…

Feedback control plays a central role in active matter, yet it is inevitably accompanied by noise and finite perception--action delays. This Perspective reviews recent advances on active systems with delayed interactions, showing how time…

Soft Condensed Matter · Physics 2026-03-19 Viktor Holubec , Frank Cichos

Semiconductor lasers subject to optical feedback can behave chaotically, which can be used as a source of randomness. The optical feedback, provided by mirrors at a distance, determines the characteristics of the chaos and thus the quality…

Optics · Physics 2024-09-30 Robbe de Mey , Spencer W. Jolly , Martin Virte