Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability

• Published in: Chinese physics B Vol. 32; no. 1; pp. 10507 - 301
• Main Authors: Jiao, Xiaodong, Yuan, Mingfeng, Tao, Jin, Sun, Hao, Sun, Qinglin, Chen, Zengqiang
• Format: Journal Article
• Language: English
• Published: Chinese Physical Society and IOP Publishing Ltd 01.01.2023; College of Artificial Intelligence,Nankai University,Tianjin 300350,China%Department of Earth and Space Science and Engineering,York University,Toronto M3J 1P3,Canada
• Subjects: extreme multistability; FPGA implementation; hidden attractor; memristor-based hyperchaos; FPGA implementation; extreme multistability; memristor-based hyperchaos; hidden attractor
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/ac5e95

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.