An adaptive observer synchronization using chaotic time-delay system for secure communication

Recently, the time delay has considerable attention in the existence of chaos in the nonlinear dynamical systems. In this paper, we therefore develop a new cascade-coupled chaotic synchronization model based on the first-order nonlinear time-delayed chaotic system using the simple Lur’e system to pr...

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Veröffentlicht in:Nonlinear dynamics 2017-12, Vol.90 (4), p.2583-2598
Hauptverfasser: Abd, Mariam Hussein, Tahir, Fadhil Rahma, Al-Suhail, Ghaida A., Pham, Viet-Thanh
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container_end_page 2598
container_issue 4
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container_title Nonlinear dynamics
container_volume 90
creator Abd, Mariam Hussein
Tahir, Fadhil Rahma
Al-Suhail, Ghaida A.
Pham, Viet-Thanh
description Recently, the time delay has considerable attention in the existence of chaos in the nonlinear dynamical systems. In this paper, we therefore develop a new cascade-coupled chaotic synchronization model based on the first-order nonlinear time-delayed chaotic system using the simple Lur’e system to provide more robust secure system. Adaptive observer-based master systems are designed to synchronize with the given chaotic slave systems at the receiver where the dynamical model is subjected to certain time delay values at the slave systems. Two cases of being system parameters match and mismatch are considered. The adaptive observer laws are carefully designed to confirm the convergence of error dynamics. Numerical simulations reveal the effectiveness of the time delay on the recovered message security using the chaotic masking technique. As a result, the information message is able to be recovered correctly with sufficient precision over the noiseless and noisy channels and under predefined time-delay values compared to the existing systems.
doi_str_mv 10.1007/s11071-017-3825-2
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subjects Adaptive systems
Automotive Engineering
Chaos theory
Classical Mechanics
Communications systems
Computer simulation
Control
Dynamical Systems
Engineering
Masking
Mathematical models
Mechanical Engineering
Nonlinear systems
Original Paper
Robustness (mathematics)
Synchronism
Time delay systems
Time synchronization
Vibration
title An adaptive observer synchronization using chaotic time-delay system for secure communication
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