IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v189y2024ip1s0960077924012566.html
   My bibliography  Save this article

A special memristive diode-bridge-based hyperchaotic hyperjerk autonomous circuit with three positive Lyapunov exponents

Author

Listed:
  • Rong, Xianwei
  • Chedjou, Jean Chamberlain
  • Yu, Xiaoyan
  • Shukhratovich, Makhkamov Bakhtiyor
  • Jiang, Donghua
  • Kengne, Jacques

Abstract

This work presents an autonomous hyperjerk type circuit where a generalized memristor consisting of a diode-bridge and an RC filter acts as nonlinear component. The dynamics equations of the proposed circuit are presented in the form of an infinitely differentiable (i.e. smooth) system of order six. A detailed analysis of the model, carried out using classic techniques for studying nonlinear systems, reveals surprising behaviors such as the coexistence of bifurcation modes, non-trivial transient behaviors, offset boosting, torus, chaos, as well as hyperchaos with three positive Lyapunov exponents. These results are obtained by varying both the initial states and the model parameters. This multitude of dynamic properties is verified in the laboratory by carrying out series of measurements on the prototype of the memristive circuit. To the best of our knowledge, the circuit proposed in this article represents the simplest memristor-based circuit known to date in the relevant literature which can generate hyperchaotic signals with three positive Lyapunov exponents.

Suggested Citation

  • Rong, Xianwei & Chedjou, Jean Chamberlain & Yu, Xiaoyan & Shukhratovich, Makhkamov Bakhtiyor & Jiang, Donghua & Kengne, Jacques, 2024. "A special memristive diode-bridge-based hyperchaotic hyperjerk autonomous circuit with three positive Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012566
    DOI: 10.1016/j.chaos.2024.115704
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924012566
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115704?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Fei Yu & Li Liu & Binyong He & Yuanyuan Huang & Changqiong Shi & Shuo Cai & Yun Song & Sichun Du & Qiuzhen Wan, 2019. "Analysis and FPGA Realization of a Novel 5D Hyperchaotic Four-Wing Memristive System, Active Control Synchronization, and Secure Communication Application," Complexity, Hindawi, vol. 2019, pages 1-18, November.
    2. Hanias, M.P. & Giannaris, G. & Spyridakis, A. & Rigas, A., 2006. "Time series analysis in chaotic diode resonator circuit," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 569-573.
    3. Zhang, Shaohua & Wang, Cong & Zhang, Hongli & Lin, Hairong, 2024. "Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    4. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
    5. Xiu, Chunbo & Fang, Jingyao & Liu, Yuxia, 2022. "Design and circuit implementation of a novel 5D memristive CNN hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 158(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. Hassan, Ali & Zhou, Liangqiang, 2025. "A novel 6D four-wing memristive hyperchaotic system: Generalized fixed-time synchronization and its application in secure image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    2. Njimah, Ouzerou Mouncherou & Ramadoss, Janarthanan & Telem, Adelaide Nicole Kengnou & Kengne, Jacques & Rajagopal, Karthikeyan, 2023. "Coexisting oscillations and four-scroll chaotic attractors in a pair of coupled memristor-based Duffing oscillators: Theoretical analysis and circuit simulation," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Kamdjeu Kengne, Léandre & Mboupda Pone, Justin Roger & Fotsin, Hilaire Bertrand, 2021. "On the dynamics of chaotic circuits based on memristive diode-bridge with variable symmetry: A case study," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    4. Zhang, Yuman & Li, Yuxia, 2024. "Nonlinear dynamics and sliding mode control for global fixed-time synchronization of a novel 2 × 2 memristor-based cellular neural network," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    5. Feng, Liang & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Fixed-time Synchronization of Coupled Memristive Complex-valued Neural Networks," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    6. Hu, Yongbing & Li, Qian & Ding, Dawei & Jiang, Li & Yang, Zongli & Zhang, Hongwei & Zhang, Zhixin, 2021. "Multiple coexisting analysis of a fractional-order coupled memristive system and its application in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    7. Zhang, Ge & Ma, Jun & Alsaedi, Ahmed & Ahmad, Bashir & Alzahrani, Faris, 2018. "Dynamical behavior and application in Josephson Junction coupled by memristor," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 290-299.
    8. Cui, Li & Lu, Ming & Ou, Qingli & Duan, Hao & Luo, Wenhui, 2020. "Analysis and Circuit Implementation of Fractional Order Multi-wing Hidden Attractors," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    9. Qin, Xiaoli & Wang, Cong & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Ye, Lu, 2018. "Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 302-315.
    10. Ui Yeon Won & Quoc An Vu & Sung Bum Park & Mi Hyang Park & Van Dam Do & Hyun Jun Park & Heejun Yang & Young Hee Lee & Woo Jong Yu, 2023. "Multi-neuron connection using multi-terminal floating–gate memristor for unsupervised learning," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    11. Bashkirtseva, I. & Ryashko, L., 2024. "Dynamical variability, order-chaos transitions, and bursting Canards in the memristive Rulkov neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    12. G. H. Kom & J. Kengne & J. R. Mboupda Pone & G. Kenne & A. B. Tiedeu, 2018. "Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit," Complexity, Hindawi, vol. 2018, pages 1-16, February.
    13. Liu, Yunfeng & Song, Zhiqiang & Tan, Manchun, 2019. "Multiple μ-stability and multiperiodicity of delayed memristor-based fuzzy cellular neural networks with nonmonotonic activation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 159(C), pages 1-17.
    14. Kwon, Osung & Kim, Sungjun & Agudov, Nikolay & Krichigin, Alexey & Mikhaylov, Alexey & Grimaudo, Roberto & Valenti, Davide & Spagnolo, Bernardo, 2022. "Non-volatile memory characteristics of a Ti/HfO2/Pt synaptic device with a crossbar array structure," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    15. Deng, Yue & Li, Yuxia, 2021. "Bifurcation and bursting oscillations in 2D non-autonomous discrete memristor-based hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    16. Jiang, Cuimei & Ye, Yunxiao & Zhang, Fangfang & Kou, Lei & Bao, Han & Zhang, Jianlin & Liu, Hongjun, 2025. "Hardware implementation and information security application of a novel chaotic system with a cubic memristor and complex parameters," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    17. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    18. Ma, Xujiong & Mou, Jun & Xiong, Li & Banerjee, Santo & Cao, Yinghong & Wang, Jieyang, 2021. "A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    19. Aguilera-Morillo, M. Carmen & Aguilera, Ana M. & Jiménez-Molinos, Francisco & Roldán, Juan B., 2019. "Stochastic modeling of Random Access Memories reset transitions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 159(C), pages 197-209.
    20. 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).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:chsofr:v:189:y:2024:i:p1:s0960077924012566. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.