Cascade discrete memristive maps for enhancing chaos

doi:10.1088/1674-1056/ac20c7

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120514-120514.doi: 10.1088/1674-1056/ac20c7

所属专题： SPECIAL TOPIC — Interdisciplinary physics: Complex network dynamics and emerging technologies

Cascade discrete memristive maps for enhancing chaos

Fang Yuan(袁方)^†, Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞)

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

收稿日期:2021-07-08 修回日期:2021-08-16 接受日期:2021-08-25 出版日期:2021-11-15 发布日期:2021-11-25
通讯作者: Fang Yuan E-mail:yf210yf@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61801271, 61973200, and 91848206), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2019BF007), the Qingdao Science and Technology Plan Project (Grant No. 19-6-2-9-cg), the Elite Project of Shandong University of Science and Technology, the Taishan Scholar Project of Shandong Province of China, and the Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents.

Cascade discrete memristive maps for enhancing chaos

Fang Yuan(袁方)^†, Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞)

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Received:2021-07-08 Revised:2021-08-16 Accepted:2021-08-25 Online:2021-11-15 Published:2021-11-25
Contact: Fang Yuan E-mail:yf210yf@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61801271, 61973200, and 91848206), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2019BF007), the Qingdao Science and Technology Plan Project (Grant No. 19-6-2-9-cg), the Elite Project of Shandong University of Science and Technology, the Taishan Scholar Project of Shandong Province of China, and the Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents.

摘要/Abstract

摘要： Continuous-time memristor (CM) has been widely used to generate chaotic oscillations. However, discrete memristor (DM) has not been received adequate attention. Motivated by the cascade structure in electronic circuits, this paper introduces a method to cascade discrete memristive maps for generating chaos and hyperchaos. For a discrete-memristor seed map, it can be self-cascaded many times to get more parameters and complex structures, but with larger chaotic areas and Lyapunov exponents. Comparisons of dynamic characteristics between the seed map and cascading maps are explored. Meanwhile, numerical simulation results are verified by the hardware implementation.

关键词: chaos, discrete memristor, cascade chaotic system, bifurcation

Abstract: Continuous-time memristor (CM) has been widely used to generate chaotic oscillations. However, discrete memristor (DM) has not been received adequate attention. Motivated by the cascade structure in electronic circuits, this paper introduces a method to cascade discrete memristive maps for generating chaos and hyperchaos. For a discrete-memristor seed map, it can be self-cascaded many times to get more parameters and complex structures, but with larger chaotic areas and Lyapunov exponents. Comparisons of dynamic characteristics between the seed map and cascading maps are explored. Meanwhile, numerical simulation results are verified by the hardware implementation.

Key words: chaos, discrete memristor, cascade chaotic system, bifurcation

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Pq (Numerical simulations of chaotic systems) 84.32.-y (Passive circuit components)

Fang Yuan(袁方), Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞). Cascade discrete memristive maps for enhancing chaos[J]. 中国物理B, 2021, 30(12): 120514-120514.

Fang Yuan(袁方), Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞). Cascade discrete memristive maps for enhancing chaos[J]. Chin. Phys. B, 2021, 30(12): 120514-120514.

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Cascade discrete memristive maps for enhancing chaos

Cascade discrete memristive maps for enhancing chaos

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