https://doi.org/10.1140/epjp/s13360-024-05140-z
Regular Article
Dynamics analysis of memristor chaotic circuit with coexisting hidden attractors
1
The College of Electrical Engineering and Automation, Shandong University of Science and Technology, 266590, Qingdao, Shandong, China
2
Ministry of Education Key Laboratory of Textile Fiber Products, School of Materials Science and Engineering, Wuhan Textile University, 100190, Wuhan, Hubei, China
3
College of Electronic and Information Engineering, Shandong University of Science and Technology, 266590, Qingdao, Shandong, China
4
Clean Energy Lab, College of Energy Storage Technology, Shandong University of Science and Technology, 266590, Qingdao, Shandong, China
Received:
28
December
2023
Accepted:
26
March
2024
Published online:
25
April
2024
Hidden attractors have garnered significant attention in physics and other dynamical areas recently. This paper introduces a novel cubic nonlinear magnetic control model, derived from the analysis of measured data from 
memristor. A single-memory fifth-order chaotic circuit was designed based on the SBT memristor, in which coexisting hidden attractors were generated. Equilibrium points and their stability within the circuit system are meticulously examined using the Jacobi matrix method. Furthermore, the impact of initial states and circuit parameters on the system is explored through various analytical techniques including Lyapunov exponents spectra and bifurcation diagrams. The findings illustrate that the chaotic circuits can manifest intricate dynamic behaviors such as chaos and multistability by varying the initial state and circuit parameters, especially the dynamical phenomena such as coexisting attractors have been discovered. These investigations hold significant implications for engineering applications.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
