https://doi.org/10.1140/epjs/s11734-021-00181-2
Regular Article
A simple chaotic circuit with magnetic flux-controlled memristor
1
Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications, Hunan Institute of Science and Technology, 414006, Yueyang, China
2
College of Physics and Electronics, Hunan Institute of Science and Technology, 414006, Yueyang, China
Received:
14
November
2020
Accepted:
3
May
2021
Published online:
23
July
2021
In this paper, we build a simple chaotic circuit by introducing a new magnetic flux-controlled memristor model. The basic dynamics, such as the type of equilibrium point, phase diagram, bifurcation diagram, and Lyapunov exponent spectrum, are studied theoretically and numerically. It is found that this memristor circuit has complex nonlinear behavior, including coexistence bifurcation, transient dynamics, and anti-monotonicity. The salient feature of the memristor chaotic circuit is that the initial conditions of both the memristor and system can realize the modulation of the position and amplitude of the attractor. To verify the chaotic characteristics of the system, an analog circuit is designed and the experimental results provide the consistency with the numerical simulation.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021
