Title: A bistable memristor-based circuit system and its implementation

Authors: Zhen Chen; Chunlai Li; Kun Qian

Addresses: Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China ' Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China ' Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China

Abstract: This paper introduces a fourth-order oscillation circuit by replacing Chua's diode with a voltage-controlled memristor and removing the resistor of canonical Chua's circuit. The system equations are built based on the circuit theory, the dissipation of the system and the stability of the equilibrium point are analysed. Dynamic behaviours of the system have been studied by using phase portraits, bifurcation diagrams and Lyapunov spectrums. The analysis results show that the proposed system has bistability phenomenon of chaotic or periodic states and possesses complex transient dynamics under different parameter and initial conditions. This kind of bistability pattern reflects the sensitivity of system dynamics to initial condition, thus it can be used to generate random number and encrypt data information, and can also be used to realise bistable switch in the field of storage and computing. An analogue electronic circuit is then designed to verify the numerical simulation results.

Keywords: Chua's circuit; memristor; dynamic behaviour; bistability.

DOI: 10.1504/IJANS.2021.120117

International Journal of Applied Nonlinear Science, 2021 Vol.3 No.2, pp.119 - 135

Received: 20 Apr 2021
Accepted: 08 May 2021
Published online: 07 Jan 2022 *

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