Eur. Phys. J. Spec. Top. (2022) 231: 3171-3185
https://doi.org/10.1140/epjs/s11734-022-00568-9

Regular Article

Hidden dynamics, synchronization, and circuit implementation of a fractional-order memristor-based chaotic system

¹ School of Automation and Electronic Information, Xiangtan, China
² School of Computer Science and School of Cyberspace Science, Xiangtan, China

^a wangmj@xtu.edu.cn

Received: 15 December 2021
Accepted: 3 April 2022
Published online: 25 April 2022

Abstract

Fractional calculus has always been regarded as an ideal mathematical tool to describe the memory of complex systems and special materials. A fractional-order memristor-based chaotic system with hidden dynamics is studied in this paper. The system can exhibit excellent dynamic behavior by introducing a quadratic nonlinear memristor. Asymmetric coexistence occurs when both the order and parameter change. Considering the practical application of fractional-order system, the spectral entropy (SE) algorithm is used to investigate the complexity of the system. Besides, synchronous experiment between two fractional-order system is carried out and the synchronization circuit is also designed. To verify the numerical simulation results, the hardware circuit is constructed, and the hidden attractors are successfully captured on the oscilloscope by hardware electronic circuit.