Eur. Phys. J. Special Topics 228, 1925-1941 (2019)
https://doi.org/10.1140/epjst/e2019-800195-8

Regular Article

Complicated dynamics in a memristor-based RLC circuit

¹ College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, P.R. China
² School of Information and Communication Engineering, Hunan Institute of Science and Technology, Yueyang 414006, P.R. China

^a e-mail: hnistlichl@163.com

Received: 11 November 2018
Received in final form: 30 December 2018
Published online: 14 October 2019

Abstract

As the fourth basic circuit element, the memristor is usually employed to design chaotic circuit for the special electrical properties. This paper introduces a memristor-based RLC oscillation circuit with fourth-order differential equation. Basic dynamical properties of the system are revealed by analyzing phase portrait, time-domain waveform, Poincaré map, equilibrium point, bifurcation diagram and Lyapunov exponent. Specially, coexisting attractor with the variation of initial value is explored in this system, which means the multi-stability arises. And it is also found that there exists complicated transient dynamical behavior for some initial conditions and parameters, which completely differs from the existed modes of transient chaos and transient period.