Image encryption using complex hyper chaotic system by injecting impulse into parameters

Liu, Hongjun; Zhang, Ying-Qian; Kadir, Abdurahman; Xu, Yang

doi:10.1016/j.amc.2019.04.078

Cited by 68 publications

(26 citation statements)

References 31 publications

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“…where M × N is the size of the image, P 1 (i, j) and P 2 (i, j), respectively, represent the pixel values of the positions corresponding to the plain and cipher. When the NPCR and UACI of the image are close to the ideal values of 99.6094070% and 33.4635070%, the algorithm has good safety [112,121]. As listed in Table 8, the algorithm in this paper is more sensitive to the plain than the NPCR and UACI values in References [111][112][113][114][115][116][117][118][119][120] can meet the security requirements and have a good ability to resist differential attacks.…”

Section: Information Entropymentioning

confidence: 84%

“…It can be seen that the adjacent pixels of the plain image have high correlation (r x,y ⟶ 1), and the adjacent pixels of the cipher image have low correlation (r x,y ⟶ 0). At the same time, compared with the corresponding results of References [111][112][113][114], it shows that the proposed encryption algorithm has lower correlation between adjacent pixels and can more effectively resist statistical attacks.…”

Section: Correlation Analysismentioning

confidence: 92%

“…Among them, image encryption plays an increasingly important role in the fields of information security, military, medicine, and meteorology and has become a hot issue of social concern. Chaotic systems show good randomness because of their strong initial value and parameter sensitivity, and they are widely used in the field of image encryption [111][112][113][114][115][116][117][118][119][120]. In this section, as a typical application, we will use the random number generated by the proposed RNG for image encryption.…”

Section: Image Encryptionmentioning

confidence: 99%

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Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

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Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.

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Section: Information Entropymentioning

confidence: 84%

Section: Correlation Analysismentioning

confidence: 92%

Section: Image Encryptionmentioning

confidence: 99%

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Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Liu

Qian

et al. 2020

Complexity

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“…For instance, Fowler et al [ 15 ] discovered the complex Lorenz system when they studied laser physics and baroclinic instability of the geophysical flows in 1982. Since then, the study on complex nonlinear systems has been paid a substantial amount of attentions and has become a hot topic due to its wide applications in chemical systems, optics and especially in secure communications [ 16 , 17 , 18 ]. A considerable amount of complex dynamical systems exhibit chaotic motion, such as the complex Chen system [ 19 ], the time-delay complex Lorenz system [ 20 ], the complex generalised Lorenz hyperchaotic system [ 21 ], just to name a few examples.…”

Section: Introductionmentioning

confidence: 99%

Chaos Control and Synchronization of a Complex Rikitake Dynamo Model

Pang

Xiao

et al. 2020

Entropy

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A novel chaotic system called complex Rikitake system is proposed. Dynamical properties, including symmetry, dissipation, stability of equilibria, Lyapunov exponents and bifurcation, are analyzed on the basis of theoretical analysis and numerical simulation. Further, based on feedback control method, the complex Rikitake system can be controlled to any equilibrium points. Additionally, this paper not only proves the existence of two types of synchronization schemes in the complex Rikitake system but also designs adaptive controllers to realize them. The proposed results are verified by numerical simulations.

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“…ese meaningful properties make chaotic systems widely studied and applied in many disciplines [4][5][6][7][8][9][10]. Specially, with the rapid development of information society chaos, secure communication has already been established to be a good candidate for transmission of con dential message [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Enhancing Ikeda Time Delay System by Breaking the Symmetry of Sine Nonlinearity

Gao

2019

Complexity

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In the present contribution, an asymmetric central contraction mutation (ACCM) model is proposed to enhance the Ikeda time delay system. The modified Ikeda system model is designed by introducing a superimposed tanh function term into the sine nonlinearity term. Stability and Hopf bifurcation characteristics of the system are analyzed theoretically. Numerical simulations, carried out in terms of bifurcation diagrams, Lyapunov exponents spectrum, phase portraits, and two-parameter (2D) largest Lyapunov exponent diagrams are employed to highlight the complex dynamical behaviors exhibited by the enhanced system. The results indicate that the modified system has rich dynamical behaviors including limit cycle, multiscroll hyperchaos, chaos, and hyperchaos. Moreover, as a major outcome of this paper, considering the fragile chaos phenomenon, the ACCM-Ikeda time delay system has better dynamical complexity and larger connected chaotic parameter spaces (connectedness means that there is no stripe corresponding to nonchaotic dynamics embedded in the chaos regions).

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Image encryption using complex hyper chaotic system by injecting impulse into parameters

Cited by 68 publications

References 31 publications

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

Chaos Control and Synchronization of a Complex Rikitake Dynamo Model

Enhancing Ikeda Time Delay System by Breaking the Symmetry of Sine Nonlinearity

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