2023
DOI: 10.1088/1402-4896/acedd5
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Generating rotationally hidden attractive sea via a new chaotic system with two mixed memristors

Ziwei Zhou,
Xiaolin Ye

Abstract: In this work, a novel 3D memristive chaotic system which has an exponential function is proposed. Especially, the sum of Lyapunov exponents in the proposed system is 0. It indicates that the system can generate attractive sea not attractor. In comparison with some other 3D chaotic systems, this type of chaotic system is relatively rare. In particular, the proposed system has non-equilibrium point, and it can produce hidden sea. Furthermore, the perpetual point of the proposed system is caculated. It is conside… Show more

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Cited by 3 publications
(3 citation statements)
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“…Step 3: The 2D-MCCM system iterates M N 4 100 ´´times using the new initial values, discarding the first 100 values to obtain the pseudo-random sequence s. Then, the sequence X is obtained using equation (11). X mod floor s 2 , 256 .…”
Section: Generation Of Initial States Of a Memristive Chaotic Systemmentioning
confidence: 99%
See 1 more Smart Citation
“…Step 3: The 2D-MCCM system iterates M N 4 100 ´´times using the new initial values, discarding the first 100 values to obtain the pseudo-random sequence s. Then, the sequence X is obtained using equation (11). X mod floor s 2 , 256 .…”
Section: Generation Of Initial States Of a Memristive Chaotic Systemmentioning
confidence: 99%
“…Furthermore, the proposed chaotic systems are applied to S-boxes. In recent years, many scholars [9][10][11] have demonstrated the richer dynamical characteristics of memristors by integrating them into chaotic systems for modeling. Peng et al [12] proposed a discrete memristor model based on difference theory and designed a well-performing discrete memristor Henon map.…”
Section: Introductionmentioning
confidence: 99%
“…Wen et al [4] presented a new image encryption method based on a twodimensional logically adjusted sinusoidal map (2D-LASM) and Discrete Wavelet Transform (DWT). Besides, other theoretical models of chaotic systems, such as neural network chaotic systems, have been proposed [5][6][7][8][9]. Some scholars construct a memristive hyperchaotic framework to enhance the complexity of the system, effectively addressing the issues of discontinuous chaotic ranges and low Lyapunov exponents in common hyperchaotic systems [10].…”
Section: Introductionmentioning
confidence: 99%