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.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61901530, 62071496, and 62061008).
Corresponding Authors:
Kehui Sun
E-mail: kehui@csu.edu.cn
Cite this article:
Qiankun Sun(孙乾坤), Shaobo He(贺少波), Kehui Sun(孙克辉), and Huihai Wang(王会海) A novel hyperchaotic map with sine chaotification and discrete memristor 2022 Chin. Phys. B 31 120501
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