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Chin. Phys. B, 2023, Vol. 32(1): 010507    DOI: 10.1088/1674-1056/ac5e95
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Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability

Xiaodong Jiao(焦晓东)1, Mingfeng Yuan(袁明峰)2, Jin Tao(陶金)1,†, Hao Sun(孙昊)1,‡, Qinglin Sun(孙青林)1, and Zengqiang Chen(陈增强)1
1 College of Artificial Intelligence, Nankai University, Tianjin 300350, China;
2 Department of Earth and Space Science and Engineering, York University, Toronto M3 J 1P3, Canada
Abstract  Memristor chaotic systems have aroused great attention in recent years with their potentials expected in engineering applications. In this paper, a five-dimension (5D) double-memristor hyperchaotic system (DMHS) is modeled by introducing two active magnetron memristor models into the Kolmogorov-type formula. The boundness condition of the proposed hyperchaotic system is proved. Coexisting bifurcation diagram and numerical verification explain the bistability. The rich dynamics of the system are demonstrated by the dynamic evolution map and the basin. The simulation results reveal the existence of transient hyperchaos and hidden extreme multistability in the presented DMHS. The NIST tests show that the generated signal sequence is highly random, which is feasible for encryption purposes. Furthermore, the system is implemented based on a FPGA experimental platform, which benefits the further applications of the proposed hyperchaos.
Keywords:  extreme multistability      memristor-based hyperchaos      hidden attractor      FPGA implementation  
Received:  20 January 2022      Revised:  04 March 2022      Accepted manuscript online:  17 March 2022
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 62003177, 61973172, 61973175, and 62073177), the key Technologies Research and Tianjin Natural Science Foundation (Grant No. 19JCZDJC32800), China Postdoctoral Science Foundation (Grant Nos. 2020M670633 and 2020M670045), and Academy of Finland (Grant No. 315660).
Corresponding Authors:  Jin Tao, Hao Sun     E-mail:;

Cite this article: 

Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强) Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability 2023 Chin. Phys. B 32 010507

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