Multistability Dynamics Analysis and Digital Circuit Implementation of Entanglement-Chaos Symmetrical Memristive System

Aiming at an entangled-chaos system with a memristor, the dynamic analysis and circuit realization are studied. Combining with the quadratic flux-controlled memristor, a memristive chaotic system is constructed, and the multistable behavior of the system when the initial value of the system changes...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-12, Vol.14 (12), p.2586
Main Authors: Lei, Tengfei, Zhou, You, Fu, Haiyan, Huang, Lili, Zang, Hongyan
Format: Article
Language:English
Subjects:
Chaos theory
Circuits
Digital electronics
Entanglement
entanglement-chaos system
Equilibrium
Liapunov exponents
Memory devices
memristor
Memristors
multistability
Phase diagrams
Simulation methods
Software
Systems analysis
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Summary:Aiming at an entangled-chaos system with a memristor, the dynamic analysis and circuit realization are studied. Combining with the quadratic flux-controlled memristor, a memristive chaotic system is constructed, and the multistable behavior of the system when the initial value of the system changes is studied by using the system phase diagram, bifurcation diagram, and Lyapunov exponent spectrum (LE). Spectral entropy (SE), C0, and SampEn are used to describe the complexity of the memristive entanglement-chaos system. Finally, the multistable behavior of the system is realized by the digital circuit chip STM32. The experimental results are consistent with the system analysis and the numerical simulation of the MATLAB software. The experimental results of the circuit provide a foundation for the engineering application of the system.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14122586