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