A novel discrete memristive chaotic map

Liang, Ziwei; He, Shaobo; Wang, Huihai; Sun, Kehui

doi:10.1140/epjp/s13360-022-02512-1

Cited by 34 publications

(13 citation statements)

References 32 publications

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“…In order to quantitatively analyze the pseudo-randomness of the sequences generated by the proposed map, we introduce the National Institute of Standards and Technology (NIST) SP800-22 test tool for testing [20]. The NIST test is considered a valid statistical standard that can be used to verify the pseudo-randomness of the chaotic map outputs [21]. There are 15 subtests in the NIST, and the corresponding 15 P_values will be generated after completing the test.…”

Section: Nistmentioning

confidence: 99%

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An image layered scrambling encryption algorithm based on a novel discrete chaotic map

Tang

Zhang

Chen³

et al. 2022

IET Image Processing

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At present, the image encryption algorithm based on the bit‐plane has the problem that the encryption speed and the encryption effect cannot be well balanced. To address the problem, an image layered scrambling encryption algorithm is proposed in this paper. First, a new one‐dimensional Cosine Logistic compound chaotic map (1DCLC) is proposed. Several characteristics of the new chaotic map are analyzed by using various measures, such as bifurcation diagram, Lyapunov exponent, sample entropy etc. And the results show that the novel chaotic map has a better chaotic performance. Second, based on the chaotic map, an image encryption algorithm is proposed. The algorithm first performs an XOR encryption operation on the image. Second, the layered scrambling is applied to the XOR encrypted image. Then the layered and scrambled image is recombined for the second XOR encryption operation. In particular, in the layered scrambling, not only can the position of the pixel be changed but also the value of the pixel can be modified, which improves the security of the algorithm. In addition, in order to defend against various plaintext attacks and increase the security of the overall algorithm, the Hash function is introduced to update the key of the proposed algorithm. Finally, the original algorithm is improved and the improved algorithm's ability to resist differential attacks is analyzed. The experimental simulation and security test results show that the proposed encryption algorithm has a comparable encryption effect and a faster encryption speed.

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Section: Nistmentioning

confidence: 99%

“…The method of modification is as follows: first, We use Equation (21) to replace the Equation ( 16), then the resulting C1 is…”

Section: Improved Algorithm Analysismentioning

confidence: 99%

An image layered scrambling encryption algorithm based on a novel discrete chaotic map

Tang

Zhang

Chen³

et al. 2022

IET Image Processing

View full text Add to dashboard Cite

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“…Owing to their properties, including memory and intrinsic nonlinearity, memristors have many potential applications in fields such as flash memory [ 4 ], reconfigurable computing [ 5 ], logic circuits [ 6 ], synapses [ 7 ], neural networks [ 8 , 9 ], solving mazes [ 10 ] and oscillation circuits [ 11 ]. Among those, memristor-based nonlinear systems or circuits have rich dynamics such as multistability and chaos [ 12 , 13 ].…”

Section: Introductionmentioning

confidence: 99%

Discrete Memristor and Discrete Memristive Systems

He,

Zhan,

Wang

et al. 2022

Entropy

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In this paper, we investigate the mathematical models of discrete memristors based on Caputo fractional difference and G–L fractional difference. Specifically, the integer-order discrete memristor is a special model of those two cases. The “∞”-type hysteresis loop curves are observed when input is the bipolar periodic signal. Meanwhile, numerical analysis results show that the area of hysteresis decreases with the increase of frequency of input signal and the decrease of derivative order. Moreover, the memory effect, characteristics and physical realization of the discrete memristors are discussed, and a discrete memristor with short memory effects is designed. Furthermore, discrete memristive systems are designed by introducing the fractional-order discrete memristor and integer-order discrete memristor to the Sine map. Chaos is found in the systems, and complexity of the systems is controlled by the parameter of the memristor. Finally, FPGA digital circuit implementation is carried out for the integer-order and fractional-order discrete memristor and discrete memristive systems, which shows the potential application value of the discrete memristor in the engineering application field.

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“…For discrete chaotic system, the digital circuit realisation is more natural. For example: Campos-Cantón et al [19] presented an electric implementation of the Tent map, Liang et al [20] and Barış et al [21] use digital signal processing (DSP) and field programmable gate array (FPGA) digital circuits to implement discrete memristive chaotic systems, respectively. But the precision effect of digital circuit is limited, and analogue circuit can produce real chaos.…”

Section: Introductionmentioning

confidence: 99%

“…[19] presented an electric implementation of the Tent map, Liang et al. [20] and Barış et al. [21] use digital signal processing (DSP) and field programmable gate array (FPGA) digital circuits to implement discrete memristive chaotic systems, respectively.…”

Section: Introductionmentioning

confidence: 99%

Analogue circuit implementation of a new logistic‐like map

et al. 2022

Electronics Letters

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A novel discrete memristive chaotic map

Cited by 34 publications

References 32 publications

An image layered scrambling encryption algorithm based on a novel discrete chaotic map

An image layered scrambling encryption algorithm based on a novel discrete chaotic map

Discrete Memristor and Discrete Memristive Systems

Analogue circuit implementation of a new logistic‐like map

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