中国物理B ›› 2022, Vol. 31 ›› Issue (12): 120501-120501.doi: 10.1088/1674-1056/ac8f3a

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A novel hyperchaotic map with sine chaotification and discrete memristor

Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉)†, and Huihai Wang(王会海)   

  1. School of Physics and Electronics, Central South University, Changsha 410083, China
  • 收稿日期:2022-07-28 修回日期:2022-08-30 接受日期:2022-09-05 出版日期:2022-11-11 发布日期:2022-11-21
  • 通讯作者: Kehui Sun E-mail:kehui@csu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61901530, 62071496, and 62061008).

A novel hyperchaotic map with sine chaotification and discrete memristor

Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉)†, and Huihai Wang(王会海)   

  1. School of Physics and Electronics, Central South University, Changsha 410083, China
  • Received:2022-07-28 Revised:2022-08-30 Accepted:2022-09-05 Online:2022-11-11 Published:2022-11-21
  • Contact: Kehui Sun E-mail:kehui@csu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61901530, 62071496, and 62061008).

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摘要： Discrete memristor has become a hotspot since it was proposed recently. However, the design of chaotic maps based on discrete memristor is in its early research stage. In this paper, a memristive seed chaotic map is proposed by combining a quadratic discrete memristor with the sine function. Furthermore, by applying the chaotification method, we obtain a high-dimensional chaotic map. Numerical analysis shows that it can generate hyperchaos. With the increase of cascade times, the generated map has more positive Lyapunov exponents and larger hyperchaotic range. The National Institute of Standards and Technology (NIST) test results show that the chaotic pseudo-random sequence generated by cascading two seed maps has good unpredictability, and it indicates the potential in practical application.

关键词: discrete memristor, hyperchaotic map, cascade, pseudo-random number generator

Abstract: Discrete memristor has become a hotspot since it was proposed recently. However, the design of chaotic maps based on discrete memristor is in its early research stage. In this paper, a memristive seed chaotic map is proposed by combining a quadratic discrete memristor with the sine function. Furthermore, by applying the chaotification method, we obtain a high-dimensional chaotic map. Numerical analysis shows that it can generate hyperchaos. With the increase of cascade times, the generated map has more positive Lyapunov exponents and larger hyperchaotic range. The National Institute of Standards and Technology (NIST) test results show that the chaotic pseudo-random sequence generated by cascading two seed maps has good unpredictability, and it indicates the potential in practical application.

Key words: discrete memristor, hyperchaotic map, cascade, pseudo-random number generator

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)