Chaotic system dynamics analysis and synchronization circuit realization of fractional-order memristor
Xi’an Key Laboratory of Human–Machine Integration and Control Technology for Intelligent Rehabilitation, School of Computer Science, Xijing University, 710123, Xi’an, People’s Republic of China
2 Xi’an Key Laboratory of Advanced Photo-Electronics Materials and Energy Conversion Device, School of Electronic Information, Xijing University, 710123, Xi’an, People’s Republic of China
Accepted: 15 July 2022
Published online: 2 September 2022
This paper studies the dynamic analysis, circuit implementation and circuit synchronization of a class of fractional-order memristor chaotic system based on Chua’s circuit. First, the dynamic characteristics of the system was analyzed with the common chaotic description methods, such as Lyapunov exponent spectrum(LEs), bifurcation diagram, Poincaré diagram, phase trajectory diagram and Complexity spectral entropy (Complexity SE). It can be found that the small change of the initial value can make the dynamic behavior of the system change between the periodic window and the chaotic region. When fractional order q and system parameters are used as a variable, the dynamic behavior of the system can be changed. Second, the system circuit model was modeled and simulated, and then the consistency with the numerical simulation was verified through the implementation of the circuit. Finally, through the design of fractional-order memristor circuit, the circuit synchronization of the system was realized. Therefore, this paper not only studies the dynamic behavior of the system through numerical analysis. Moreover, the effectiveness of the system design is further illustrated by the implementation of analog circuit.
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