A novel hyperchaotic map with sine chaotification and discrete memristor

doi:10.1088/1674-1056/ac8f3a

Abstract Discrete memristor has become a hotspot since it was proposed recently. However, the design of chaotic maps based on discrete memristor is in its early research stage. In this paper, a memristive seed chaotic map is proposed by combining a quadratic discrete memristor with the sine function. Furthermore, by applying the chaotification method, we obtain a high-dimensional chaotic map. Numerical analysis shows that it can generate hyperchaos. With the increase of cascade times, the generated map has more positive Lyapunov exponents and larger hyperchaotic range. The National Institute of Standards and Technology (NIST) test results show that the chaotic pseudo-random sequence generated by cascading two seed maps has good unpredictability, and it indicates the potential in practical application.

Keywords: discrete memristor hyperchaotic map cascade pseudo-random number generator

Received: 28 July 2022
Revised: 30 August 2022
Accepted manuscript online: 05 September 2022

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Jn	(High-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61901530, 62071496, and 62061008).

Corresponding Authors: Kehui Sun
E-mail: kehui@csu.edu.cn

Cite this article:

Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉), and Huihai Wang(王会海) A novel hyperchaotic map with sine chaotification and discrete memristor 2022 Chin. Phys. B 31 120501

[1] Chua L 1971 IEEE Transactions on Circuit Theory 18 507
[2] Chua L and Kang S 1976 Proc. IEEE 64 209
[3] Strukov D B, Snider G S, Stewart D R and Williams R S 2008 Nature 453 80
[4] Corinto F and Forti M 2017 IEEE Transactions on Circuits and Systems I-Regular Papers 64 1540
[5] Valov I, Linn E, Tappertzhofen S, Schmelzer S, van den Hurk J, Lentz F and Waser R 2013 Nat. Commun. 4 1771
[6] Zhao B, Xiao M and Zhou Y N 2019 Nanotechnology 30 425202
[7] Wang Y, Ma J, Xu Y, Wu F and Zhou P 2017 Int. J. Bifur. Chaos 27 1750030
[8] Kim H, Sah M, Yang C J, Cho S and Chua L 2012 IEEE Transactions on Circuits and Systems I-Regular Papers 59 2422
[9] Zhang Y, Zhuang J S, Xia Y H, Bai Y Z, Cao J and Gu L F 2019 Commun. Nonlinear Sci. Numer. Simul. 77 40
[10] Nagamani G, Rajan G and Zhu Q X 2020 IEEE Transactions on Cybernetics 50 4281
[11] Li C, Hu M, Li Y N, Jiang H, Ge N, Montgomery E, Zhang J M, Song W h, Davila N, Graves C E, Li Z Y, Strachan J P, Lin P, Wang Z, Barnell M, Wu Q, Williams R S, Yang J J and Xia Q 2018 Nat. Electron. 1 52
[12] Haj-Ali A, Ben-Hur R, Wald N, Ronen R and Kvatinsky S 2018 IEEE Micro 38 13
[13] Ruan J Y, Sun K H, Mou J, He S B and Zhang L M 2018 Eur. Phys. J. Plus 133 3
[14] Wang C H, Xia H and Zhou L 2017 Int. J. Bifurc. Chaos 27 1750091
[15] Bao B C, Bao H, Wang N, Chen M and Xu Q 2017 Chaos, Solitons & Fractals 94 102
[16] Wang G Y, Zang S C, Yuan F and Iu H H C 2017 Chaos 27 013110
[17] Wang, G Y, Cui M Z, Cai B Z, Wang X Y and Hu T L 2015 Mathematical Problems in Engineering 2015 561901
[18] Peng Y X, Sun K H and He S B 2020 Chaos Solitons & Fractals 137 109873
[19] Peng Y X, He S B and Sun K H 2021 AEU-International Journal of Electronics and Communications 129 153539
[20] He S B, Sun K H, Peng Y X and Wang L Y 2020 AIP Advances 10 015332
[21] Zhu W Y, Pu Y F, Liu B, Yu B and Zhou J L 2022 Chin. Phys. B 31 060204
[22] Bao B C, Li H, Wu H, Zhang X and Chen M 2020 Electron. Lett. 56 769
[23] Lin H R, Wang C H, Hong Q H and Sun Y C 2020 IEEE Transactions on Circuits and Systems II-Express Briefs 67 3472
[24] Fu L X, He S B, Wang H H and Sun K H 2021 Acta Phys. Sin. 71 030501 (in Chinese)
[25] Zhou L, Wang C H, Zhang X and Yao W 2018 Int. J. Bifur. Chaos 28 1850050
[26] Gu J C, Li C B, Chen Y D, Iu H H C and Lei T F 2020 IEEE Access 8 12394
[27] Li C B, Wang R, Ma X, Jiang Y C and Liu Z H 2021 Chin. Phys. B 30 120511
[28] Mohanty N, Dey R and Roy B 2020 Eur. Phys. J. Special Top. 229 1231
[29] Zhang Y, Liu Z, Wu H, Chen S and Bao B 2019 Chaos, Solitons and Fractals 127 354
[30] Pham V, Volos C and Fortuna L 2019 Eur. Phys. J. Special Top. 228 1903
[31] Yang Y, Wang L D, Duan S K and Luo L 2021 Optics and Laser Technology 133 106553
[32] Zhou Y C, Hua Z Y, Pun C M and Chen C 2015 IEEE Transactions on Cybernetics 45 2001
[33] Bao B C, Rong K, Li H Z, Li K X, Hua Z Y and Zhang X 2021 IEEE Transactions on Circuits and Systems II-Express Briefs 68 2992
[34] Hua Z Y, Zhou B H and Zhou Y C 2019 IEEE Transactions on Industrial Electronics 66 1273
[35] Hua Z Y, Yi S, Zhou Y C, Li C Q and Wu Y 2018 IEEE Transactions on Cybernetics 48 463
[36] Zheng Y G, Chen G R and Liu Z R 2003 Int. J. Bifur. Chaos 13 3443
[37] Yuan F, Bai C J and Li Y X 2021 Chin. Phys. B 30 120514
[38] Chua L 2014 Semicond. Sci. Technol. 29 104001
[39] Adhikari S, Sah M, Kim H and Chua L 2013 IEEE Transactions on Circuits & Systems I- Regular Papers 60 3008
[40] Bao H, Hua Z Y, Li H Z, Chen M and Bao B C 2021 IEEE Transactions on Circuits and Systems I-Regular Papers 68 4534
[41] Hua Z Y, Zhou Y C and Bao B C 2019 IEEE Transactions on Industrial Informatics 16 887
[42] Richman J S and Moorman J R 2000 American Journal of Physiology-Heart and Circulatory Physiology 278 H2039
[43] Han X T, Bi X G, Sun B, Ren L J and Xiong L 2022 Front. Phys. 10 911144
[44] Chen C, Sun K H and He S B 2019 Eur. Phys. J. Plus 134 410

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A novel hyperchaotic map with sine chaotification and discrete memristor

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