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A memristive chaotic map with only one bifurcation parameter

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Abstract

Discrete memristor can be introduced for chaos producing conveniently even combined with easy amplitude control. Such a case is designed in this work, in which all the rest parameters are independent amplitude controllers except the only one for bifurcation. The memristor-related parameters only rescale the sequence partially or totally without revising the Lyapunov exponents. More controllers bring greater convenience for chaos application, meanwhile, less bifurcation parameters pose less risks for chaos-based engineering. The STM32-based circuit is constructed to verify the characteristics of amplitude control. Furthermore, a secure optical communication system is built based on the memristive map showing its high performance in engineering applications.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported financially by the National Natural Science Foundation of China (Grant No.: 61871230, 62371242), and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Yongxin Li, Chunbiao Li & Qing Zhong

  2. School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Yongxin Li, Chunbiao Li & Qing Zhong

  3. School of Artificial Intelligence and Engineering, Jiangsu Vocational Institute of Commerce, Nanjing, 210044, China

    Sicong Liu

  4. Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan, 250200, China

    Tengfei Lei

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  1. Yongxin Li
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Correspondence to Chunbiao Li.

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Li, Y., Li, C., Zhong, Q. et al. A memristive chaotic map with only one bifurcation parameter. Nonlinear Dyn 112, 3869–3886 (2024). https://doi.org/10.1007/s11071-023-09204-0

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