IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v181y2024ics0960077924002017.html
   My bibliography  Save this article

nD-CS: A circularly shifting chaotic map generation method

Author

Listed:
  • Wu, Zihua
  • Zhang, Yinxing
  • Bao, Han
  • Lan, Rushi
  • Hua, Zhongyun

Abstract

Due to more complex behavior and larger number of control parameters, high-dimensional chaotic map generation methods may provide more satisfactory performance in various practical applications compared to low-dimensional counterparts. Designing n-dimensional (nD) chaotic map generation methods for generating chaotic maps in arbitrary dimensions with desired dynamics is an interesting but challenging task. In this paper, we propose a universal framework called the nD circularly shifting chaotic map generation method (nD-CS), which utilizes existing one-dimensional chaotic maps as seed maps to generate nD chaotic maps with complex and robust behaviors. Theoretical analysis proves that when specific criteria are met by its control parameters, our nD-CS can exhibit complex and robust hyperchaotic behavior in the sense of Lyapunov exponent. To demonstrate the effectiveness of our nD-CS, we first employ it to generate three examples of three-dimensional hyperchaotic maps. The results indicate high-performance indicators of these new chaotic maps. Furthermore, we compare the nD chaotic maps generated by our nD-CS to those produced by existing methods. The results demonstrate that our chaotic maps have a better overall performance.

Suggested Citation

  • Wu, Zihua & Zhang, Yinxing & Bao, Han & Lan, Rushi & Hua, Zhongyun, 2024. "nD-CS: A circularly shifting chaotic map generation method," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:chsofr:v:181:y:2024:i:c:s0960077924002017
    DOI: 10.1016/j.chaos.2024.114650
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924002017
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114650?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. Valle, João & Machicao, Jeaneth & Bruno, Odemir M., 2022. "Chaotical PRNG based on composition of logistic and tent maps using deep-zoom," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Michel Fruchart & Ryo Hanai & Peter B. Littlewood & Vincenzo Vitelli, 2021. "Non-reciprocal phase transitions," Nature, Nature, vol. 592(7854), pages 363-369, April.
    3. Natiq, Hayder & Banerjee, Santo & He, Shaobo & Said, M.R.M. & Kilicman, Adem, 2018. "Designing an M-dimensional nonlinear model for producing hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 506-515.
    4. Hongyan Zang & Jianying Liu & Jiu Li, 2021. "Construction of a Class of High-Dimensional Discrete Chaotic Systems," Mathematics, MDPI, vol. 9(4), pages 1-20, February.
    5. Huang, Lilian & Liu, Jin & Xiang, Jianhong & Zhang, Zefeng & Du, Xiuli, 2022. "A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 160(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. Fan, Chunlei & Ding, Qun, 2023. "Constructing n-dimensional discrete non-degenerate hyperchaotic maps using QR decomposition," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Fan, Chunlei & Ding, Qun, 2023. "Design and geometric control of polynomial chaotic maps with any desired positive Lyapunov exponents," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Nguyen, Minh D.N. & Pham, Phuc H. & Ngo, Khang V. & Do, Van H. & Li, Shengkai & Phan, Trung V., 2024. "Remark on the entropy production of adaptive run-and-tumble chemotaxis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    4. Antoine Aubret & Quentin Martinet & Jeremie Palacci, 2021. "Metamachines of pluripotent colloids," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    5. Xiao Li & Yongyin Cao & Jack Ng, 2024. "Non-Hermitian non-equipartition theory for trapped particles," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    6. Alberto Dinelli & Jérémy O’Byrne & Agnese Curatolo & Yongfeng Zhao & Peter Sollich & Julien Tailleur, 2023. "Non-reciprocity across scales in active mixtures," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    7. Etienne Jambon-Puillet & Andrea Testa & Charlotta Lorenz & Robert W. Style & Aleksander A. Rebane & Eric R. Dufresne, 2024. "Phase-separated droplets swim to their dissolution," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    8. Seyhan, Özlem & Aslan, Nisa & Saltan, Mustafa, 2024. "Dynamical analysis of some special shift maps on discrete Sierpinski triangle," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    9. Jyoti Prasad Banerjee & Rituparno Mandal & Deb Sankar Banerjee & Shashi Thutupalli & Madan Rao, 2022. "Unjamming and emergent nonreciprocity in active ploughing through a compressible viscoelastic fluid," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    10. Yuan, Fang & Xing, Guibin & Deng, Yue, 2023. "Flexible cascade and parallel operations of discrete memristor," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    11. Guy Amichay & Liang Li & Máté Nagy & Iain D. Couzin, 2024. "Revealing the mechanism and function underlying pairwise temporal coupling in collective motion," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    12. Joel W. Newbolt & Nickolas Lewis & Mathilde Bleu & Jiajie Wu & Christiana Mavroyiakoumou & Sophie Ramananarivo & Leif Ristroph, 2024. "Flow interactions lead to self-organized flight formations disrupted by self-amplifying waves," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    13. Li, Ze & Guo, Junfei & Gao, Xinyu & Yang, Xiaohu & He, Ya-Ling, 2023. "A multi-strategy improved sparrow search algorithm of large-scale refrigeration system: Optimal loading distribution of chillers," Applied Energy, Elsevier, vol. 349(C).
    14. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    15. Natiq, Hayder & Banerjee, Santo & Misra, A.P. & Said, M.R.M., 2019. "Degenerating the butterfly attractor in a plasma perturbation model using nonlinear controllers," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 58-68.
    16. Weichao He & Yuemin Zheng & Jin Tao & Yujuan Zhou & Jiayan Wen & Qinglin Sun, 2023. "A Novel Fractional-Order Active Disturbance Rejection Load Frequency Control Based on An Improved Marine Predator Algorithm," Sustainability, MDPI, vol. 15(13), pages 1-23, June.
    17. García-Grimaldo, Claudio & Campos-Cantón, Eric, 2023. "Exploring a family of Bernoulli-like shift chaotic maps and its amplitude control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    18. Luo, Yuyao & Fan, Chunlei & Xu, Chengbin & Li, Xinyu, 2024. "Design and FPGA implementation of a high-speed PRNG based on an n-D non-degenerate chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    19. Martorell, Carles & Calvo, Rubén & Annibale, Alessia & Muñoz, Miguel A., 2024. "Dynamically selected steady states and criticality in non-reciprocal networks," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    20. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    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:181:y:2024:i:c:s0960077924002017. 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.