A new secure communication scheme using fractional order delayed chaotic system: design and electronics circuit simulation

Zouad, Fadia; Kemih, Karim; Hamiche, Hamid

doi:10.1007/s10470-018-01382-x

Cited by 24 publications

(9 citation statements)

References 24 publications

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“…We used the fractional order (q = 0.98); the approximation of 1/s 0.98 can be calculated as in Equation ( 9) [37]. In Figure 3, the transfer function between terminals 1 and 2 can be calculated as shown in Equation (10) [38].…”

Section: Circuit Realization Of the Fractional-order Memristormentioning

confidence: 99%

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High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point

et al. 2021

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Fractional-order chaotic systems have more complex dynamics than integer-order chaotic systems. Thus, investigating fractional chaotic systems for the creation of image cryptosystems has been popular recently. In this article, a fractional-order memristor has been developed, tested, numerically analyzed, electronically realized, and digitally implemented. Consequently, a novel simple three-dimensional (3D) fractional-order memristive chaotic system with a single unstable equilibrium point is proposed based on this memristor. This fractional-order memristor is connected in parallel with a parallel capacitor and inductor for constructing the novel fractional-order memristive chaotic system. The system’s nonlinear dynamic characteristics have been studied both analytically and numerically. To demonstrate the chaos behavior in this new system, various methods such as equilibrium points, phase portraits of chaotic attractor, bifurcation diagrams, and Lyapunov exponent are investigated. Furthermore, the proposed fractional-order memristive chaotic system was implemented using a microcontroller (Arduino Due) to demonstrate its digital applicability in real-world applications. Then, in the application field of these systems, based on the chaotic behavior of the memristive model, an encryption approach is applied for grayscale original image encryption. To increase the encryption algorithm pirate anti-attack robustness, every pixel value is included in the secret key. The state variable’s initial conditions, the parameters, and the fractional-order derivative values of the memristive chaotic system are used for contracting the keyspace of that applied cryptosystem. In order to prove the security strength of the employed encryption approach, the cryptanalysis metric tests are shown in detail through histogram analysis, keyspace analysis, key sensitivity, correlation coefficients, entropy analysis, time efficiency analysis, and comparisons with the same fieldwork. Finally, images with different sizes have been encrypted and decrypted, in order to verify the capability of the employed encryption approach for encrypting different sizes of images. The common cryptanalysis metrics values are obtained as keyspace = 2648, NPCR = 0.99866, UACI = 0.49963, H(s) = 7.9993, and time efficiency = 0.3 s. The obtained numerical simulation results and the security metrics investigations demonstrate the accuracy, high-level security, and time efficiency of the used cryptosystem which exhibits high robustness against different types of pirate attacks.

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Section: Circuit Realization Of the Fractional-order Memristormentioning

confidence: 99%

“…Figure 6 depicts the fractional-order memristor symbolic diagram. In Figure 3, the transfer function between terminals 1 and 2 can be calculated as shown in Equation (10) [38].…”

Section: Circuit Realization Of the Fractional-order Memristormentioning

confidence: 99%

High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point

et al. 2021

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“…The simulation results of the circuit are consistent with those of the numerical simulation. 1.1μF C [15,38]. The chain cell circuit is used to replace the capacitor in the common integration circuit to achieve fractional integration of order α = 0.9 , so we obtain ( ) Figure 3.…”

Section: Equivalent Circuit Of the Memristormentioning

confidence: 99%

A Nonvolatile Fractional Order Memristor Model and Its Complex Dynamics

Wang

et al. 2019

Entropy

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It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt–ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor’s parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.

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“…On the other hand, a security problem, due to advanced modern communication technology, has recently emerged as a hot topic in the engineering applications [24,25], especially in autonomous vehicle platooning [26,27]. Since the control components such as sensors, controllers, and actuators are connected by the shared communication networks to achieve remote control, compromise by malicious adversaries is extremely risky [22,28,29].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay

Shen

Yang

Chen

et al. 2021

Entropy

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This paper investigates the problem of adaptive event-triggered synchronization for uncertain FNNs subject to double deception attacks and time-varying delay. During network transmission, a practical deception attack phenomenon in FNNs should be considered; that is, we investigated the situation in which the attack occurs via both communication channels, from S-C and from C-A simultaneously, rather than considering only one, as in many papers; and the double attacks are described by high-level Markov processes rather than simple random variables. To further reduce network load, an advanced AETS with an adaptive threshold coefficient was first used in FNNs to deal with deception attacks. Moreover, given the engineering background, uncertain parameters and time-varying delay were also considered, and a feedback control scheme was adopted. Based on the above, a unique closed-loop synchronization error system was constructed. Sufficient conditions that guarantee the stability of the closed-loop system are ensured by the Lyapunov-Krasovskii functional method. Finally, a numerical example is presented to verify the effectiveness of the proposed method.

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A new secure communication scheme using fractional order delayed chaotic system: design and electronics circuit simulation

Cited by 24 publications

References 24 publications

High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point

High-Security Image Encryption Based on a Novel Simple Fractional-Order Memristive Chaotic System with a Single Unstable Equilibrium Point

A Nonvolatile Fractional Order Memristor Model and Its Complex Dynamics

Adaptive Event-Triggered Synchronization of Uncertain Fractional Order Neural Networks with Double Deception Attacks and Time-Varying Delay

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