Lag synchronization in time-delayed systems

Shahverdiev, E.M.; Sivaprakasam, S.; Shore, K.A.

doi:10.1016/s0375-9601(01)00824-6

Cited by 262 publications

(118 citation statements)

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“…[13] in [8]) indicate that perfect synchronization is possible if different photon lifetimes are assumed for the master and slave lasers. A similar idea for achieving perfect synchronization between master and slave lasers with coupling-delay lag time is indicated in our recent work [10]. In this paper we show that perfect synchronization can be achieved without the above mentioned modifications of the synchronization manifolds.…”

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confidence: 64%

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Lag times and parameter mismatches in synchronization of unidirectionally coupled chaotic external cavity semiconductor lasers

2002

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We report an analysis of synchronization between two unidirectionally coupled chaotic external cavity master/slave semiconductor lasers with two characteristic delay times, where the delay time in the coupling is different from the delay time in the coupled systems themselves. We demonstrate for the first time that parameter mismatches in photon decay rates for the master and slave lasers can explain the experimental observation that the lag time is equal to the coupling delay time. PACS number(s):05.45. Xt, 05.45.Vx, 42.55.Px, 42.65.Sf Chaos synchronization [1] is of fundamental importance in a variety of complex physical, chemical and biological systems [2]. Application of chaos synchronization has been advanced in secure communications, optimization of non-linear systems' performance, modeling brain activity and pattern recognition [2]. Time-delay systems are ubiquitous in nature, technology and society because of finite signal transmission times, switching speeds and memory effects [3]. Therefore the study of chaos synchronization in these systems is of considerable practical significance. Because of their ability to generate high-dimensional chaos, time-delay systems are good candidates for secure communications based on chaos synchronization. In this context particular emphasis is given to the use of chaotic external cavity semiconductor lasers, because laser systems with optical feedback are prominent representatives of time-delay systems which can generate hyperchaos [4].Most experimental investigations of chaos synchronization in unidirectionally coupled external cavity semiconductor lasers [4] have found that the lag time between the master and slave lasers' intensities is equal to the coupling delay, whereas numerical results [5] show that the lag time should be equal to the difference between the delay time in the coupling and round-trip time of the light in the transmitter's external cavity. Knowledge of the exact lag time is of considerable practical importance, as experiments on message transmission using fibre lasers and diode lasers have shown that the recovery of message at the receiver critically depends on the correction made for the lag time [4,6].Recently there have been several attempts to explain the coupling-delay lag time synchronization in unidirectionally coupled external cavity semiconductor lasers. In [7] this phenomenon was related to a strong coupling and/or frequency detuning between the two lasers. However in a recent paper [8], where a numerical study of two unidirectionally coupled single-mode semicon-

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confidence: 64%

“…In this paper we show that perfect synchronization can be achieved without the above mentioned modifications of the synchronization manifolds. Following [10], suppose that there are parameter mismatches between the master and slave laser photon decay rates:γ 1 = γ 2 . Using eq.…”

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confidence: 99%

Lag times and parameter mismatches in synchronization of unidirectionally coupled chaotic external cavity semiconductor lasers

2002

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“…There also exists time delay when the information signal transmits from the sender side to the receiver side in secure communication. "Many experimental investigations and computer simulations of chaos synchronization in unidirectional coupled external cavity semiconductor lasers [1,2] have demonstrated the presence of lag time between the drive and response lasers intensities" [3]. "The similar experiments for chaotic circuits have also demonstrated the complete synchronization (CS), i.e., the states of two chaotic systems remain identical in the course of temporal evolution, is practically impossible for the presence of the signal transmission time and evolution time of response system itself."…”

Section: Introductionmentioning

confidence: 99%

Lag Synchronization of Complex Lorenz System with Applications to Communication

Zhang

2015

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In communication, the signal at the receiver end at time t is the signal from the transmitter side at time t − τ (τ ≥ 0 and it is the lag time) as the time lag of transmission. Therefore, lag synchronization (LS) is more accurate than complete synchronization to design communication scheme. Taking complex Lorenz system as an example, we design the LS controller according to error feedback. Using chaotic masking, we propose a communication scheme based on LS and independent component analysis (ICA). It is suitable to transmit multiple messages with all kinds of amplitudes and it has the ability of anti-noise. Numerical simulations verify the feasibility and effectiveness of the presented schemes.

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“…Chaos control and synchronization of chaotic systems have been interesting research fields since the pioneering work of Ott, Grebogi and Yorke [2] and the seminal work of Pecora and Carroll [3], which are simultaneously reported in 1990. A variety of approaches has been proposed for the synchronization of chaotic systems which include complete synchronization [3], phase synchronization [4], generalized synchronization [5], anti-synchronization [6], projective synchronization [7], lag synchronization [8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Shahverdiev et.al. [8] have presented the first analytical treatment of lag-synchronization in unidirectionally coupled modified Ikeda models by using Krasovskii-Lyapunov functional approach. In 2009, Tarai et.al.…”

Section: Introductionmentioning

confidence: 99%