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Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems and time-delayed systems. It is characterized by a lag configuration that establishes a unique time shift between all the state variables of the…

Chaotic Dynamics · Physics 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh , Prodyot K. Roy , Jürgen Kurths , Syamal K. Dana

In this brief, an algorithm for controlling chaotic systems using small, continuous time perturbations is presented. Stabilisation is achieved by self controlling feedback using low order LTI filters. The algorithm alleviates the need of…

chao-dyn · Physics 2007-05-23 Pabitra Mitra

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

Statistical Mechanics · Physics 2009-11-11 Einat Klein , Noam Gross , Evi Kopelowitz , Michael Rosenbluh , Lev Khaykovich , Wolfgang Kinzel , Ido Kanter

A driven opto-RF oscillator, consisting of a dual-frequency laser (DFL) submitted to frequency-shifted feedback, is studied experimentally and numerically in a chaotic regime. Precise control of the reinjection strength and detuning permits…

Optics · Physics 2016-07-01 Aurélien Thorette , Marco Romanelli , Marc Brunel , Marc Vallet

We have demonstrated, both theoretically and experimentally, that it is possible to control (i.e., to enhance or cancel) the contrast of the interference pattern appearing in the intensity images obtained with a laser optical feedback…

Time-distributed optical feedback in semiconductor lasers has gained attention for its ability to produce high-quality chaos and effectively suppress the time-delay signature. However, the fundamental impact of the distribution of feedback…

Optics · Physics 2023-07-31 Martin Skenderas , Spencer W. Jolly , Martin Virte

We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a…

Chaotic Dynamics · Physics 2012-09-21 K. B. Blyuss , Y. N. Kyrychko , P. Hoevel , E. Schoell

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

It was recently shown that the use of feedback control can improve the performance of a flashing ratchet. We investigate the effect of a time delay in the implementation of feedback control in a closed-loop collective flashing ratchet,…

Statistical Mechanics · Physics 2009-11-13 E. M. Craig , B. R. Long , J. M. R. Parrondo , H. Linke

We observe deterministic chaos in a simple network of electronic logic gates that are not regulated by a clocking signal. The resulting power spectrum is ultra-wide-band, extending from dc to beyond 2 GHz. The observed behavior is…

We analyze the time resolved spike statistics of a solitary and two mutually interacting chaotic semiconductor lasers whose chaos is characterized by apparently random, short intensity spikes. Repulsion between two successive spikes is…

A novel model of a semiconductor laser with optical feedback is presented, generalizing Lang-Kobayashi equations to the case of incoherent feedback. The equations are supplemented by a stochastic variable which models random phase…

Optics · Physics 2015-06-17 Igor V. Koryukin

Time--delayed feedback is exploited for controlling noise--induced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in…

Statistical Mechanics · Physics 2009-11-10 N. B. Janson , A. G. Balanov , E. Schoell

The spatiotemporal chaos in the system described by a one-dimensional nonlinear drift-wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By dividing the solution of the system into a…

chao-dyn · Physics 2009-10-31 Shunguang Wu , Kaifen He , Zuqia Huang

We demonstrate dynamical control of the superradiant transition of cavity-BEC system via periodic driving of the pump laser. We show that the dominant density wave order of the superradiant state can be suppressed, and that the subdominant…

Quantum Gases · Physics 2018-10-15 Jayson G. Cosme , Christoph Georges , Andreas Hemmerich , Ludwig Mathey

We investigate the possibility to suppress noise-induced intensity pulsations (relaxation oscillations) in semiconductor lasers by means of a time-delayed feedback control scheme. This idea is first studied in a generic normal form model,…

Chaotic Dynamics · Physics 2009-11-13 Valentin Flunkert , Eckehard Schoell

This paper presents a mathematical approach for improving the performance of a control system by modifying the time delay at certain operating conditions. This approach converts a continuous time loop into a discrete time loop. The formula…

Systems and Control · Computer Science 2015-03-03 Salem Alkhalaf

A new type of chaos called laminar chaos was found in singularly perturbed dynamical systems with periodic time-varying delay [Phys. Rev. Lett. 120, 084102 (2018)]. It is characterized by nearly constant laminar phases, which are…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Günter Radons

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

Intracavity frequency-doubled solid-state lasers exhibit intensity fluctuations of their light output, which are cause by nonlinear dynamical processes. Up to now, there are different solutions to this problem, but they reduce the output…

Statistical Mechanics · Physics 2016-08-31 F. Lange , T. Letz , K. Pyragas , A. Kittel
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