A novel secure image transmission scheme based on synchronization of fractional-order discrete-time hyperchaotic systems

Kassim, Sarah; Hamiche, Hamid; Djennoune, Saïd; Bettayeb, Maâmar

doi:10.1007/s11071-017-3390-8

Cited by 54 publications

(14 citation statements)

References 32 publications

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“…Although fractional-order discrete-time systems are still new and the literature related to them is limited, they have found applications in a number of fields, including secure communications and data encryption as shown in [37], for instance. The application of this type of systems is mainly dependent on our ability to synchronize two systems starting from different initial conditions such that they end up following the same trajectory asymptotically.…”

Section: A Combined Synchronization Schemementioning

confidence: 99%

Chaos, control, and synchronization in some fractional-order difference equations

et al. 2019

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In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of phase portraits, bifurcation diagrams, and Lyapunov exponents. In addition, three control laws are introduced for these fractional maps and the convergence of the controlled states towards zero is guaranteed by means of the stability theory of linear fractional discrete systems. Furthermore, a combined synchronization scheme is introduced whereby the fractional Rössler map is considered as a drive system with the response system being a combination of the remaining two maps. Numerical results are presented throughout the paper to illustrate the findings.

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Section: A Combined Synchronization Schemementioning

confidence: 99%

Chaos, control, and synchronization in some fractional-order difference equations

et al. 2019

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“…In recent years, a lot of attention has been paid to the research on the memristive chaotic circuits applied to synchronization, and the synchronization scheme of memristive chaos based on Lorenz system has been developed initially [15,16]. Master system and slave system can achieve chaotic synchronization under controlled constraints, and it has been widely used in secure communication and other fields [17,18]. However, a lot of literature with respect to the memristive chaotic system applied to secure communication only extracted its own chaotic sequence, without involving the memristive synchronization scheme [12,19,20].…”

Section: Introductionmentioning

confidence: 99%

Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System

Peng

Min

Wang

2018

Journal of Electrical and Computer Engineering

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The four-wing memristive chaotic system used in synchronization is applied to secure communication which can increase the difficulty of deciphering effectively and enhance the security of information. In this paper, a novel four-wing memristive chaotic system with an active cubic flux-controlled memristor is proposed based on a Lorenz-like circuit. Dynamical behaviors of the memristive system are illustrated in terms of Lyapunov exponents, bifurcation diagrams, coexistence Poincaré maps, coexistence phase diagrams, and attraction basins. Besides, the modular equivalent circuit of four-wing memristive system is designed and the corresponding results are observed to verify its accuracy and rationality. A nonlinear synchronization controller with exponential function is devised to realize synchronization of the coexistence of multiple attractors, and the synchronization control scheme is applied to image encryption to improve secret key space. More interestingly, considering different influence of multistability on encryption, the appropriate key is achieved to enhance the antideciphering ability.

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“…To date, only four synchronization schemes have been proposed for fractional discrete dynamical systems, as follows: chaos synchronization based on the stability condition [8], chaos synchronization with a nonlinear coupling method [28], and chaos synchronization with linear coupling strength [29]; exact synchronization is established by designing a step-by-step delayed observer [30]. Just as the linear feedback control technique can be employed to achieve the synchronization of fractional differential systems, one may spontaneously want to know whether or not it can be used to obtain the synchronization of fractional discrete dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the linear feedback control technique will be applied to achieve the synchronization of fractional discrete dynamical systems. Comparing the aforementioned four synchronization schemes for fractional discrete dynamical systems [8,[28][29][30], the linear feedback control technique is not only easier to design and implement but is also more intuitive for the simplest linear stability theory of fractional discrete dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

Xin

Liu

Hou

et al. 2017

Entropy

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By using a linear feedback control technique, we propose a chaos synchronization scheme for nonlinear fractional discrete dynamical systems. Then, we construct a novel 1-D fractional discrete income change system and a kind of novel 3-D fractional discrete system. By means of the stability principles of Caputo-like fractional discrete systems, we lastly design a controller to achieve chaos synchronization, and present some numerical simulations to illustrate and validate the synchronization scheme.

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A novel secure image transmission scheme based on synchronization of fractional-order discrete-time hyperchaotic systems

Cited by 54 publications

References 32 publications

Chaos, control, and synchronization in some fractional-order difference equations

Chaos, control, and synchronization in some fractional-order difference equations

Circuit Implementation, Synchronization of Multistability, and Image Encryption of a Four-Wing Memristive Chaotic System

Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control

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