中国物理B ›› 2025, Vol. 34 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/adb8bc

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A novel non-autonomous hyperchaotic map based on discrete memristor parallel connection

Weiping Wu(吴伟平)1,2,†, Mengjiao Wang(王梦蛟)3, and Qigui Yang(杨启贵)2   

  1. 1 Guangdong Communication Polytechnic, Guangzhou 510000, China;
    2 School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China;
    3 School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2024-12-18 修回日期:2025-02-08 接受日期:2025-02-21 出版日期:2025-05-15 发布日期:2025-05-08
  • 通讯作者: Weiping Wu E-mail:wpwu_gdcp@qq.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 62071411).

A novel non-autonomous hyperchaotic map based on discrete memristor parallel connection

Weiping Wu(吴伟平)1,2,†, Mengjiao Wang(王梦蛟)3, and Qigui Yang(杨启贵)2   

  1. 1 Guangdong Communication Polytechnic, Guangzhou 510000, China;
    2 School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China;
    3 School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China
  • Received:2024-12-18 Revised:2025-02-08 Accepted:2025-02-21 Online:2025-05-15 Published:2025-05-08
  • Contact: Weiping Wu E-mail:wpwu_gdcp@qq.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 62071411).

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摘要： Since the method of discretizing memristors was proposed, discrete memristors (DMs) have become a very important topic in recent years. However, there has been little research on non-autonomous discrete memristors (NDMs) and their applications. Therefore, in this paper, a new NDM is constructed, and a non-autonomous hyperchaotic map is proposed by connecting this non-autonomous memristor in parallel with an autonomous memristor. This map exhibits complex dynamical behaviors, including infinitely many fixed points, initial-boosted attractors, initial-boosted bifurcations, and the size of the attractors being controlled by the initial value. In addition, a simple pseudo-random number generator (PRNG) was designed using the non-autonomous hyperchaotic map, and the pseudo-random numbers (PRNs) generated by it were tested using the National Institute of Standards and Technology (NIST) SP800-22 test suite. Finally, the non-autonomous hyperchaotic map is implemented on the STM32 hardware experimental platform.

关键词: non-autonomous discrete memristors, hyperchaotic map, initials-boosted attractors, initials-boosted bifurcations

Abstract: Since the method of discretizing memristors was proposed, discrete memristors (DMs) have become a very important topic in recent years. However, there has been little research on non-autonomous discrete memristors (NDMs) and their applications. Therefore, in this paper, a new NDM is constructed, and a non-autonomous hyperchaotic map is proposed by connecting this non-autonomous memristor in parallel with an autonomous memristor. This map exhibits complex dynamical behaviors, including infinitely many fixed points, initial-boosted attractors, initial-boosted bifurcations, and the size of the attractors being controlled by the initial value. In addition, a simple pseudo-random number generator (PRNG) was designed using the non-autonomous hyperchaotic map, and the pseudo-random numbers (PRNs) generated by it were tested using the National Institute of Standards and Technology (NIST) SP800-22 test suite. Finally, the non-autonomous hyperchaotic map is implemented on the STM32 hardware experimental platform.

Key words: non-autonomous discrete memristors, hyperchaotic map, initials-boosted attractors, initials-boosted bifurcations

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Pq (Numerical simulations of chaotic systems)