Eur. Phys. J. Special Topics 228, 1983-1994 (2019)
https://doi.org/10.1140/epjst/e2019-800235-6

Regular Article

Inductor-free multi-stable Chua’s circuit constructed by improved PI-type memristor emulator and active Sallen–Key high-pass filter

School of Information Science and Engineering, Changzhou University, 213164 Changzhou, P.R. China

^a e-mail: mervinbao@126.com

Received: 22 December 2018
Received in final form: 28 May 2019
Published online: 14 October 2019

Abstract

Based on an improved proportion-integral-type (PI-type) memristor emulator and an active Sallen–Key high-pass filter (HPF), a new memristive Chua’s circuit with inductor-free implementation is presented in this paper. The memristive Chua’s circuit possesses a line equilibrium state with unstable and stable region distributions, leading to the emergence of multi-stable patterns, i.e., the coexistence of multiple attractors for different initial values. With the normalized mathematical model, local basins of attraction, bifurcation plots and phase plane plots are numerically simulated, from which the initial values-related bifurcation behaviors are demonstrated and coexisting multiple attractors are obtained in the presented memristive Chua’s circuit. Finally, circuit simulations by PSIM software are performed and the results verify the numerical plots.