IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v97y2024i3d10.1140_epjb_s10051-024-00662-y.html
   My bibliography  Save this article

A tri-valued memristive chaotic system with hidden attractors and its image encryption application

Author

Listed:
  • Wang Yun

    (Gui Zhou University)

  • Chen Qian

    (Gui Zhou University)

  • Liang Bo

    (Gui Zhou University)

  • Hu Chen-yang

    (Gui Zhou University)

Abstract

This paper presents a chaotic system with hidden attractors by introducing a tri-valued memristor into the Liu chaotic system. The attractors have a rich topology, as shown by the analysis of the phase diagram, Poincaré diagram, Lyapunov exponential spectrum and bifurcation diagram, and we try to summarize the regularity of the system characteristics within a certain range of controllable parameters. We analyzed attractors with strange shapes by setting different parameters, and the multistability and the transient behavior is analyzed, which reflects the high complexity of the system, The complexity characteristics of the system are also analyzed by calculating the SE value and C0 complexity, the corresponding circuit is designed, and the simulation analysis of the system is carried out to verify the physical realizability of the system. Finally, this system is applied to image encryption to analyze its security from a histogram and correlation perspective. These findings provide a reference value for the tri-valued memristor based system for encryption applications. Graphical abstract The left box is descriptions of how to build the system, and the right box is the descriptions of the phenomena produced by the three parameters a,b and h,the middle part is the dynamics analysis, complexity analysis, and circuit design of the system

Suggested Citation

  • Wang Yun & Chen Qian & Liang Bo & Hu Chen-yang, 2024. "A tri-valued memristive chaotic system with hidden attractors and its image encryption application," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(3), pages 1-22, March.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:3:d:10.1140_epjb_s10051-024-00662-y
    DOI: 10.1140/epjb/s10051-024-00662-y
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-024-00662-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/s10051-024-00662-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Vijayakumar M.D. & Anitha Karthikeyan & Jozef Zivcak & Ondrej Krejcar & Hamidreza Namazi, 2021. "Dynamical Behavior of a New Chaotic System with One Stable Equilibrium," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
    2. Marius-F. Danca & Nikolay Kuznetsov, 2021. "Hidden Strange Nonchaotic Attractors," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
    3. Xiaoyuan Wang & Xue Zhang & Meng Gao, 2020. "A Novel Voltage-Controlled Tri-Valued Memristor and Its Application in Chaotic System," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    4. Xiaoyuan Wang & Xinrui Zhang & Meng Gao & Yuanze Tian & Chunhua Wang & Herbert Ho-Ching Iu, 2023. "A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    5. Gong, Li-Hua & Luo, Hui-Xin & Wu, Rou-Qing & Zhou, Nan-Run, 2022. "New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    6. Wang, Xiaoyuan & Gao, Meng & Iu, Herbert Ho-Ching & Wang, Chunhua, 2022. "Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    7. Yan, Shaohui & Wang, Ertong & Gu, Binxian & Wang, Qiyu & Ren, Yu & Wang, Jianjian, 2022. "Analysis and finite-time synchronization of a novel double-wing chaotic system with transient chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    8. Peng Yao & Huaqiang Wu & Bin Gao & Jianshi Tang & Qingtian Zhang & Wenqiang Zhang & J. Joshua Yang & He Qian, 2020. "Fully hardware-implemented memristor convolutional neural network," Nature, Nature, vol. 577(7792), pages 641-646, January.
    9. Yousefpour, Amin & Jahanshahi, Hadi & Munoz-Pacheco, Jesus M. & Bekiros, Stelios & Wei, Zhouchao, 2020. "A fractional-order hyper-chaotic economic system with transient chaos," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tiwari, Ankit & Singh, Piyush Pratap & Roy, Binoy Krishna, 2024. "A realizable chaotic system with interesting sets of equilibria, characteristics, and its underactuated predefined-time sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    2. Xiaoyuan Wang & Xinrui Zhang & Meng Gao & Yuanze Tian & Chunhua Wang & Herbert Ho-Ching Iu, 2023. "A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    3. Sundarapandian Vaidyanathan & Ahmad Taher Azar & Ibrahim A. Hameed & Khaled Benkouider & Esteban Tlelo-Cuautle & Brisbane Ovilla-Martinez & Chang-Hua Lien & Aceng Sambas, 2023. "Bifurcation Analysis, Synchronization and FPGA Implementation of a New 3-D Jerk System with a Stable Equilibrium," Mathematics, MDPI, vol. 11(12), pages 1-22, June.
    4. Wang, Xiaoyuan & Gao, Meng & Iu, Herbert Ho-Ching & Wang, Chunhua, 2022. "Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    5. Zhou, Shuang-Shuang & Jahanshahi, Hadi & Din, Qamar & Bekiros, Stelios & Alcaraz, Raúl & Alassafi, Madini O. & Alsaadi, Fawaz E. & Chu, Yu-Ming, 2021. "Discrete-time macroeconomic system: Bifurcation analysis and synchronization using fuzzy-based activation feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    6. Djohan Bonnet & Tifenn Hirtzlin & Atreya Majumdar & Thomas Dalgaty & Eduardo Esmanhotto & Valentina Meli & Niccolo Castellani & Simon Martin & Jean-François Nodin & Guillaume Bourgeois & Jean-Michel P, 2023. "Bringing uncertainty quantification to the extreme-edge with memristor-based Bayesian neural networks," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    7. Xiangpeng Liang & Yanan Zhong & Jianshi Tang & Zhengwu Liu & Peng Yao & Keyang Sun & Qingtian Zhang & Bin Gao & Hadi Heidari & He Qian & Huaqiang Wu, 2022. "Rotating neurons for all-analog implementation of cyclic reservoir computing," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    8. Yu, Fei & Kong, Xinxin & Yao, Wei & Zhang, Jin & Cai, Shuo & Lin, Hairong & Jin, Jie, 2024. "Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    9. Zhang, Jie & Zuo, Jiangang & Wang, Meng & Guo, Yan & Xie, Qinggang & Hou, Jinyou, 2024. "Design and application of multiscroll chaotic attractors based on a novel multi-segmented memristor," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    10. Alsuwian, Turki & Kousar, Farhana & Rasheed, Umbreen & Imran, Muhammad & Hussain, Fayyaz & Arif Khalil, R.M. & Algadi, Hassan & Batool, Najaf & Khera, Ejaz Ahmad & Kiran, Saira & Ashiq, Muhammad Naeem, 2021. "First principles investigation of physically conductive bridge filament formation of aluminum doped perovskite materials for neuromorphic memristive applications," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    11. Jahanshahi, Hadi & Yousefpour, Amin & Munoz-Pacheco, Jesus M. & Kacar, Sezgin & Pham, Viet-Thanh & Alsaadi, Fawaz E., 2020. "A new fractional-order hyperchaotic memristor oscillator: Dynamic analysis, robust adaptive synchronization, and its application to voice encryption," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    12. Ruibin Mao & Bo Wen & Arman Kazemi & Yahui Zhao & Ann Franchesca Laguna & Rui Lin & Ngai Wong & Michael Niemier & X. Sharon Hu & Xia Sheng & Catherine E. Graves & John Paul Strachan & Can Li, 2022. "Experimentally validated memristive memory augmented neural network with efficient hashing and similarity search," Nature Communications, Nature, vol. 13(1), pages 1-13, December.
    13. Leng, Xiangxin & Gu, Shuangquan & Peng, Qiqi & Du, Baoxiang, 2021. "Study on a four-dimensional fractional-order system with dissipative and conservative properties," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    14. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    15. Li, Jun-Feng & Jahanshahi, Hadi & Kacar, Sezgin & Chu, Yu-Ming & Gómez-Aguilar, J.F. & Alotaibi, Naif D. & Alharbi, Khalid H., 2021. "On the variable-order fractional memristor oscillator: Data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    16. Bekiros, Stelios & Jahanshahi, Hadi & Bezzina, Frank & Aly, Ayman A., 2021. "A novel fuzzy mixed H2/H∞ optimal controller for hyperchaotic financial systems," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    17. Bin Gao & Ying Zhou & Qingtian Zhang & Shuanglin Zhang & Peng Yao & Yue Xi & Qi Liu & Meiran Zhao & Wenqiang Zhang & Zhengwu Liu & Xinyi Li & Jianshi Tang & He Qian & Huaqiang Wu, 2022. "Memristor-based analogue computing for brain-inspired sound localization with in situ training," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    18. Kamal, F.M. & Elsonbaty, A. & Elsaid, A., 2021. "A novel fractional nonautonomous chaotic circuit model and its application to image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    19. Chu, Yu-Ming & Bekiros, Stelios & Zambrano-Serrano, Ernesto & Orozco-López, Onofre & Lahmiri, Salim & Jahanshahi, Hadi & Aly, Ayman A., 2021. "Artificial macro-economics: A chaotic discrete-time fractional-order laboratory model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    20. Ruihua Yu & Ze Wang & Qi Liu & Bin Gao & Zhenqi Hao & Tao Guo & Sanchuan Ding & Junyang Zhang & Qi Qin & Dong Wu & Peng Yao & Qingtian Zhang & Jianshi Tang & He Qian & Huaqiang Wu, 2025. "A full-stack memristor-based computation-in-memory system with software-hardware co-development," Nature Communications, Nature, vol. 16(1), pages 1-14, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:eurphb:v:97:y:2024:i:3:d:10.1140_epjb_s10051-024-00662-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.