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For self-sustained oscillators subject to noise the coherence, understood as a constancy of the instantaneous oscillation frequency, is one of the primary characteristics. The delayed feedback has been previously revealed to be an efficient…

Statistical Mechanics · Physics 2017-04-21 Anastasiya V. Pimenova , Denis S. Goldobin

This paper deals whith the stabilization of any UPO of a chaotic map by modulation of a control parameter. It concentrates on proportional and delayed feedback control methods. Alternative types of these methods are proposed and their…

Dynamical Systems · Mathematics 2016-05-24 Roberta Hansen , Graciela Adriana González

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

Dynamical Systems · Mathematics 2025-05-01 Bin Zhou , Kai Zhang

The random laser action with coherent feedback by second-harmonic generation (SHG) was experimentally demonstrated in this paper. Compared with the conventional random laser action based on photoluminescence effect, which needs strong…

Optics · Physics 2016-11-24 Yanqi Qiao , Yuanlin Zheng , Zengyan Cai , Xianfeng Chen

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

Two extended cavity laser diodes are phase-locked, thanks to an intra-cavity electro-optical modulator. The phase-locked loop bandwidth is on the order of 10 MHz, which is about twice larger than when the feedback correction is applied on…

We experimentally study the synchronization of chaos generated by semiconductor lasers in a cascade injection configuration, i.e., a tunable master laser is used to generate chaos by optical injection in a transmitter laser that injects…

Optics · Physics 2024-05-08 Jules Mercadier , Yaya Doumbia , Stefan Bittner , Marc Sciamanna

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

Controlling rhythmic systems, typically modeled as limit-cycle oscillators, is an important subject in real-world problems. Phase reduction theory, which simplifies the multidimensional oscillator state under weak input to a single phase…

Adaptation and Self-Organizing Systems · Physics 2025-08-26 Koichiro Yawata , Norihisa Namura , Yuzuru Kato , Hiroya Nakao

The linear response of synchronized time-delayed chaotic systems to small external perturbations, i.e., the phenomenon of chaos pass filter, is investigated for iterated maps. The distribution of distances, i.e., the deviations between two…

Chaotic Dynamics · Physics 2015-06-12 Steffen Zeeb , Johannes Kestler , Ido Kanter , Wolfgang Kinzel

Based on the principle of chaotification for continuous-time autonomous systems, which relies on two basic properties of chaos, i.e., globally bounded with necessary positive-zero-negative Lyapunov exponents, this paper derives a feasible…

Chaotic Dynamics · Physics 2016-12-21 Simin Yu , Guanrong Chen

Combination of two basic types of synchronization, anticipated and isochronous synchronization, is investigated numerically in coupled semiconductor lasers. Due to the combination, a synchronization of good quality can be obtained. We study…

Chaotic Dynamics · Physics 2007-05-23 Liang Wu , Shiqun Zhu , Yun Ni

Experimental observations of typical kinds of synchronization transitions are reported in unidirectionally coupled time-delay electronic circuits with a threshold nonlinearity and two time delays, namely feedback delay $\tau_1$ and coupling…

Chaotic Dynamics · Physics 2011-07-12 Srinivasan. k , Senthilkumar D. V. , Murali. K , Lakshmanan. M , Kurths. J

The effect of ultrashort laser-induced morphological changes upon irradiation of silicon with double pulse sequences is investigated under conditions that lead to mass removal. The temporal delay between twelve double and equal-energy…

Materials Science · Physics 2013-09-04 M. Barberoglou , G. D. Tsibidis , D. Gray , E. Magoulakis , C. Fotakis , E. Stratakis , P. A. Loukakos

Quantum entanglement plays a fundamental role in quantum computation and quantum communication. Feedback control has been widely used in stochastic quantum systems to generate given entangled states since it has good robustness, where the…

Quantum Physics · Physics 2023-07-28 Yanan Liu , Daoyi Dong , Sen Kuang , Ian R. Petersen , Hidehiro Yonezawa

We investigate the synchronization dynamics of two coupled noise-driven FitzHugh-Nagumo systems, representing two neural populations. For certain choices of the noise intensities and coupling strength, we find cooperative stochastic…

Adaptation and Self-Organizing Systems · Physics 2025-07-29 Philipp Hövel , Sarang A. Shah , Markus A. Dahlem , Eckehard Schöll

We have studied theoretically the basic operation of a quantum feedback loop designed to maintain a desired phase of quantum coherent oscillations in a single solid-state qubit. The degree of oscillations synchronization with external…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Rusko Ruskov , Alexander N. Korotkov

We report on a narrow linewidth laser diode system that is stabilized using both optical and electronic feedback to a spectral hole in cryogenic Tm:YAG. The laser system exhibits very low phase noise. The spectrum of the beat signal between…

We consider the effect of asymmetric temporal delays in a system of two coupled Hopfield neurons. For couplings of opposite signs, a limit cycle emerges via a supercritical Hopf bifurcation when the sum of the delays reaches a critical…

Biological Physics · Physics 2011-11-10 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

Laser phase noise remains a limiting factor in many experimental settings, including metrology, time-keeping, as well as quantum optics. Hitherto this issue was addressed at low frequencies, ranging from well below 1 Hz to maximally 100…

Optics · Physics 2021-03-31 Michał Parniak , Ivan Galinskiy , Timo Zwettler , Eugene S. Polzik
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