|
|
|
Design of a memristive chaotic map and its adaptive regulation |
| Ya Wang(王亚)1, Xin-Lin Song(宋欣林)2,†, and Fei-Fei Yang(杨飞飞)3 |
1 School of Cyber Security, Gansu University of Political Science and Law, Lanzhou 730070, China;
2 College of Science, Xi'an University of Science and Technology, Xi'an 710054, China;
3 College of Artificial Intelligence and Computer Science, Xi'an University of Science and Technology, Xi'an 710054, China |
|
|
|
|
Abstract The analysis of structure and dynamics in chaotic systems has long been a significant research direction in nonlinear science. Constructing a reliable chaotic system with rich dynamical characteristics is essential for secure communication applications. Existing memristor-based chaotic maps are typically obtained by incorporating discrete mathematical models of memristors into basic chaotic maps. In this study, a simple memristive nonlinear circuit is first designed, from which a memristive oscillator is derived. Subsequently, a memristive map is developed from this oscillator through a linear transformation of the variables. The reliability of the new map is validated through nonlinear dynamic analysis. The results demonstrate that the map exhibits complex nonlinear dynamics under different parameter settings. This finding is beneficial for the construction of memristor maps and the development of image encryption algorithms.
|
Received: 18 May 2025
Revised: 18 June 2025
Accepted manuscript online: 01 July 2025
|
|
PACS:
|
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
Corresponding Authors:
Xin-Lin Song
E-mail: xinlinsong@xust.edu.cn
|
Cite this article:
Ya Wang(王亚), Xin-Lin Song(宋欣林), and Fei-Fei Yang(杨飞飞) Design of a memristive chaotic map and its adaptive regulation 2025 Chin. Phys. B 34 090504
|
[1] Du Y, Long G, Jiang D, Chai X and Han J 2023 Chin. Phys. B 32 114203
[2] Qiu D, Zhang B, Zhang T, Liu S and He P 2025 Chin. Phys. B 34 040203
[3] Marco M D, Forti M, Pancioni L and Tesi A 2024 Nonlinear Dyn. 112 13519
[4] Marco M D, Forti M, Pancioni L and Tesi A 2024 Int. J. Bifurc. Chaos 34 2450001
[5] Li C, Yang Y, Du J and Chen Z 2021 Eur. Phys. J. Spéc. Top. 230 1723
[6] Luo J, Tang W, Chen Y, Chen X and Zhou H 2023 Results Phys. 54 107085
[7] Batas D and Fiedler H 2011 IEEE Trans. Nanotechnol. 10 250
[8] Yang N, Xu C, Wu C, Jia R and Liu C 2019 Nonlinear Dyn. 97 33
[9] Liu W, Wang F Q and Ma X K 2014 Int. J. Numer. Model.: Electron. Netw., Devices Fields 28 335
[10] Si G, Diao L and Zhu J 2016 Nonlinear Dyn. 87 2625
[11] Wu S, Rong X and Liu Z 2018 Journal of System Simulation 30 3985
[12] Sun J, Yang J, Liu P and Wang Y 2023 IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 42 956
[13] Wang R, Li C, Kong S, Jiang Y and Lei T 2022 Chaos, Solitons Fractals 158 111992
[14] Yan D, Jié M, Wang L and Duan S 2021 Eur. Phys. J. Plus 136 1086
[15] Ramamoorthy R, Rajagopal K, Leutcho G D, Krejcar O, Namazi H and Hussain I 2022 Chaos, Solitons Fractals 156 111834
[16] Sahin M E, Taskiran Z G C, Guler H and Hamamci S E 2020 Circuits, Syst., Signal Process. 39 3320
[17] Gokyildirim A, Calgan H and Demirtas M 2023 J. Vib. Control 30 1604
[18] Bao B C, Bao H, Wang N, Chen M and Xu Q 2017 Chaos, Solitons Fractals 94 102
[19] Zhang L, Li Z and Peng Y 2024 Chaos, Solitons Fractals 185 115109
[20] Dong C and Yang M 2024 Fractal Fract. 8 266
[21] Yuan Y, Yu F, Tan B, Huang Y, Yao W, Cai S and Lin H 2025 Chaos: Interdiscip. J. Nonlinear Sci. 35 013121
[22] Ahmed G 2024 Eur. J. Pure Appl. Math. 17 835
[23] He S, Yang H, Li C and Shen X 2024 Int. J. Bifurc. Chaos 34 2450138
[24] Zhang J, Liu E and Guo Y 2024 J. Supercomput. 80 14694
[25] Ding P, Wang Z and Li K 2024 Phys. Scr. 99 075252
[26] An X, Liu S, Xiong L, Zhang J and Li X 2024 Expert Syst. Appl. 243 122899
[27] Kumar B S and Revathi R 2024 IETE J. Res. 70 8160
[28] Yang F, Xu Y and Ma J 2023 Chaos: Interdiscip. J. Nonlinear Sci. 33 023110
[29] Yang F, Han Z, Ren G, Guo Q and Ma J 2024 Eur. Phys. J. Plus 139 534
[30] Yang F, Ren G and Tang J 2023 Nonlinear Dyn. 111 21917
[31] Song X and Yang F 2025 J. Theor. Biol. 599 112034
[32] Yang F, Song X and Yu Z 2024 Chaos, Solitons Fractals 188 115496
[33] Guo Y, Wu F, Yang F and Ma J 2023 Chaos: Interdiscip. J. Nonlinear Sci. 33 113106
[34] Babacan Y, Kaçar F and Gürkan K 2016 Neurocomputing 203 86
[35] Chen X, Wang N, Wang K, Chen M, Parastesh F and Xu Q 2024 Nonlinear Dyn. 112 20365
[36] Li X, Guo W and Du Y 2024 Int. J. Bifurc. Chaos 34 2430034
[37] Bao B, Chen L, Bao H, Chen M and Xu Q 2024 Chaos, Solitons Fractals 181 114608
[38] Ma X, Li C, Li Y, Bi L and Qi Z 2022 Eur. Phys. J. Plus 137 542
[39] Li R and Ding R 2021 Int. J. Mod. Phys. B 35 2150166
[40] Wang C, Liang J and Deng Q 2024 Neural Netw. 178 106408
[41] Zhang S, Wang C, Zhang H and Lin H 2024 Chaos, Solitons Fractals 186 115191
[42] Peng Y, He S and Sun K 2021 AEU Int. J. Electron. Commun. 129 153539
[43] Mou J, Han Z, Cao Y and Banerjee S 2024 IEEE Trans. Circuits Syst.- II: Express Briefs 71 2824
[44] He S, Hu K, Wang M, Wang H and Wu X 2024 Chaos, Solitons Fractals 188 115517
[45] Bao H, Hua Z, Li H, Chen M and Bao B 2021 IEEE Trans. Circuits Syst.: Regul. Pap. 68 4534
[46] Ren L, Mou J, Banerjee S and Zhang Y 2023 Chaos, Solitons Fractals 167 113024
[47] Liu X, Mou J, Zhang Y and Cao Y 2024 IEEE Trans. Ind. Electron. 71 5094
[48] Bao B, Hu J, Cai J, Zhang X and Bao H 2023 Nonlinear Dyn. 111 3765
[49] Liu B, Peng X and Li C 2024 AEU Int. J. Electron. Commun. 178 155283
[50] Bao B, Hu J, Bao H, Xu Q and Chen M 2024 Cogn. Neurodynamics 18 539
[51] Li C, Yang Y, Yang X and Lu Y 2022 Eur. Phys. J. Spéc. Top. 231 3209
[52] Liang Z, He S, Wang H and Sun K 2022 Eur. Phys. J. Plus 137 309
[53] Wang H, Xin Z, He S and Sun K 2024 Phys. Scr. 99 095218
[54] Zang H, Fu H, Huang L, Lei T and He S 2025 Chaos: Interdiscip. J. Nonlinear Sci. 35 063114
[55] Yang F, Zhou P and Ma J 2024 Commun. Theor. Phys. 76 035004
[56] Yang F, Ren L, Ma J and Zhu Z 2024 J. Zhejiang Univ. Sci. A 25 382
[57] Yang F, Song X and Ma J 2024 Chin. J. Phys. 91 287
[58] Song X, Wang Y and Yang F 2025 Commun. Theor. Phys. 77 085801
[59] Kong S, Li C, He S, Ç içek S and Lai Q A 2021 Chin. Phys. B 30 110502
[60] Li C, Li Y, Yu W, Moroz I and Volos C 2025 Nonlinear Dyn. 113 3857
[61] Huang H, Li C, Cen X, Gao Y and Liu W 2025 Int. J. Bifurc. Chaos 35 2550037
[62] Li C, Yi C, Li Y, Mitro S and Wang Z 2024 Chaos: Interdiscip. J. Nonlinear Sci. 34 031102 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
