The Synchronization of Identical Memristors Systems Via Lyapunov Direct Method

Tahir, Shko Ali

doi:10.11648/j.acm.20130206.14

Cited by 6 publications

(5 citation statements)

References 9 publications

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“…Practically, the two important ways to utilize chaos are chaos control and synchronization techniques [72]. The chaos synchronization has received much attention; this is because the secure communication schemes primarily depend on the synchronization between the transceivers [73,74]. Researchers have introduced many chaos control and synchronization techniques, as listed in the introduction section.…”

Section: Adaptive Synchronizationmentioning

confidence: 99%

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

et al. 2021

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This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation diagrams of this new FOCS, are studied analytically and numerically. Adaptive control laws are derived based on Lyapunov theory to achieve chaos synchronization between two identical new FOCSs with an uncertain parameter. For these two identical FOCSs, one represents the master and the other is the slave. The uncertain parameter in the slave side was estimated corresponding to the equivalent master parameter. Next, this FOCS and its synchronization were realized by a feasible electronic circuit and tested using Multisim software. In addition, a microcontroller (Arduino Due) was used to implement the suggested system and the developed synchronization technique to demonstrate its digital applicability in real-world applications. Furthermore, based on the developed synchronization mechanism, a secure communication scheme was constructed. Finally, the security analysis metric tests were investigated through histograms and spectrograms analysis to confirm the security strength of the employed communication system. Numerical simulations demonstrate the validity and possibility of using this new FOCS in high-level security communication systems. Furthermore, the secure communication system is highly resistant to pirate attacks. A good agreement between simulation and experimental results is obtained, showing that the new FOCS can be used in real-world applications.

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Section: Adaptive Synchronizationmentioning

confidence: 99%

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

et al. 2021

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“…Generally, electronic circuit constructions contain three fundamental elements, which are the resistor, the inductor, and the capacitor [22]. In addition to that, the fourth circuit component was proposed theoretically by Chau in 1971 and was experimentally established in 2008 by HP laboratories [23]; this element is called a memristor.…”

Section: Memristive Modelmentioning

confidence: 99%

“…On the transmitter side, the transmitted signal s(t) of the noiseless channel is given by Equation (22).…”

Section: Application In Secure Communicationmentioning

confidence: 99%

Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

et al. 2019

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In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.

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“…A successful approach to the problem of synchronisation is to model each member of the population as a non‐linear oscillator. Time synchronisation denotes the attitude of two or more systems – either identical or different – to harmonise their dynamics over time, either spontaneously or forcibly [1–3]. Time synchronisation is closely related to consensus in a network of locally‐interacting agents [4, 5].…”

Section: Introductionmentioning

confidence: 99%

Extension of a PID control theory to Lie groups applied to synchronising satellites and drones

Fiori

Cervigni

Ippoliti

et al. 2020

IET Control Theory & Appl

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The Synchronization of Identical Memristors Systems Via Lyapunov Direct Method

Cited by 6 publications

References 9 publications

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

A New Fractional-Order Chaotic System with Its Analysis, Synchronization, and Circuit Realization for Secure Communication Applications

Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

Extension of a PID control theory to Lie groups applied to synchronising satellites and drones

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