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In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we…

混沌动力学 · 物理学 2007-05-23 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

最优化与控制 · 数学 2008-01-22 S. Emre Tuna

In practical applications, it is crucial that the drive-response systems, although identical in all respects, are synchronized at all times, even if there is noise present. In this work, we test the stability and robustness of three…

密码学与安全 · 计算机科学 2025-10-03 N. A. Anagnostopoulos , K. Konstantinidis , A. N. Miliou , S. G. Stavrinides

We consider the stability of synchronized chaos in coupled map lattices and in coupled ordinary differential equations. Applying the theory of Hermitian and positive semidefinite matrices we prove two results that give simple bounds on…

混沌动力学 · 物理学 2009-11-07 Govindan Rangarajan , Mingzhou Ding

We examine synchronization of identical chaotic systems coupled in a drive/response manner. A rigorous criterion is presented which, if satisfied, guarantees that synchronization to the driving trajectory is linearly stable to…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

We experimentally demonstrate synchronization between two distinct ensembles of cold atoms undergoing steady state superradiance within a single longitudinal and transverse mode of the same optical cavity. The synchronization process is…

原子物理 · 物理学 2017-03-15 Joshua M. Weiner , Kevin C. Cox , Justin G. Bohnet , James K. Thompson

A pair of coupled erbium doped fiber ring lasers is used to explore the dynamics of coupled spatiotemporal systems. The lasers are mutually coupled with a coupling delay less than the cavity round-trip time. We study synchronization between…

混沌动力学 · 物理学 2009-11-11 L. B. Shaw , I. B. Schwartz , E. A. Rogers , R. Roy

We report the first experimental evidence of a successful synchronization of spatiotemporal chaos. The experiments were performed on two unidirectionally coupled, nonlinear-optical systems of single-feedback type. The synchronization was…

斑图形成与孤子 · 物理学 2009-11-10 R. Neubecker , B. Guetlich

Secure chaos based multiplex communication system scheme is proposed utilizing globally coupled semiconductor lasers with multiple variable time delay optoelectronic feedbacks.

混沌动力学 · 物理学 2011-11-08 E. M. Shahverdiev , K. A. Shore

This paper presents the result of the investigation of chaotic oscillator synchronization. A new approach for detecting of synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different…

混沌动力学 · 物理学 2009-11-11 Alexander Hramov , Alexey Koronovskii

Stability control in laser is still an emerging field of research. In this paper the dynamics of External cavity semiconductor lasers (ECSLs) is widely studied applying the methods of chaos physics. The stability is analyzed through…

光学 · 物理学 2011-01-20 Sohrab Behnia , Khosro Mabhouti , Saeid Afrang

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

动力系统 · 数学 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

This paper studies noise synchronisation in terms of random pullback attractors and their instabilities. We consider an ensemble of uncoupled lasers, each being a limit-cycle oscillator, which are driven by the same external white Gaussian…

动力系统 · 数学 2011-04-21 Sebastian M. Wieczorek

The temporal dynamics of a storage-ring Free Electron Laser is here investigated with particular attention to the case in which an external modulation is applied to the laser-electron beam detuning. The system is shown to produce…

光学 · 物理学 2009-11-07 G. De Ninno , D. Fanelli , C. Bruni , M. E. Couprie

We study numerically a system of two lasers cross-coupled optoelectronically with a time delay where the output intensity of each laser modulates the pump current of the other laser. We demonstrate control of chaos via variable coupling…

混沌动力学 · 物理学 2016-10-12 E. M. Shahverdiev

This paper deals with the chaotic oscillator synchronization. A new approach to detect the synchronized behaviour of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series…

混沌动力学 · 物理学 2009-11-11 Alexander E. Hramov , Alexey A. Koronovskii , Yurij I. Levin

We present a methodology for synchronization of chaotic oscillators with linear feedback control. The proposed method is based on analyzing the chaotic oscillator as a multi-mode linear system and deriving sufficient conditions for…

混沌动力学 · 物理学 2019-01-24 Keyur Mistry , Sudeshna Dash , Siddharth Tallur

Dynamics of coupled semiconductor lasers is investigated by numerical simulations. A realistic laser simulation engine is used to study the synchronization and dynamical regime in two mutually coupled Fabry-Perot and/or DFB lasers. Both,…

In past works, various schemes for adaptive synchronization of chaotic systems have been proposed. The stability of such schemes is central to their utilization. As an example addressing this issue, we consider a recently proposed adaptive…

无序系统与神经网络 · 物理学 2015-05-14 Francesco Sorrentino , Gilad Barlev , Adam B. Cohen , Edward Ott

We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population…

量子气体 · 物理学 2019-09-05 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan