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Initial conditions-related dynamical behaviors in PI-type memristor emulator-based canonical Chua’s circuit

Bocheng Bao (School of Information Science and Engineering, Changzhou University, Changzhou, China)
Jiaoyan Luo (School of Information Science and Engineering, Changzhou University, Changzhou, China)
Han Bao (School of Information Science and Engineering, Changzhou University, Changzhou, China)
Quan Xu (School of Information Science and Engineering, Changzhou University, Changzhou, China)
Yihua Hu (School of Information Science and Engineering, University of Liverpool, Liverpool, UK)
Mo Chen (School of Information Science and Engineering, Changzhou University, Changzhou, China)

Circuit World

ISSN: 0305-6120

Article publication date: 4 October 2018

Issue publication date: 18 October 2018

198

Abstract

Purpose

The purpose of this paper is to construct a proportion-integral-type (PI-type) memristor, which is different from that of the previous memristor emulator, but the constructing memristive chaotic circuit possesses line equilibrium, leading to the emergence of the initial conditions-related dynamical behaviors.

Design/methodology/approach

This paper presents a PI-type memristor emulator-based canonical Chua’s chaotic circuit. With the established mathematical model, the stability region for the line equilibrium is derived, which mainly consists of stable and unstable regions, leading to the emergence of bi-stability because of the appearance of a memristor. Initial conditions-related dynamical behaviors are investigated by some numerically simulated methods, such as phase plane orbit, bifurcation diagram, Lyapunov exponent spectrum, basin of the attraction and 0-1 test. Additionally, PSIM circuit simulations are executed and the seized results validate complex dynamical behaviors in the proposed memristive circuit.

Findings

The system exhibits the bi-stability phenomenon and demonstrates complex initial conditions-related bifurcation behaviors with the variation of system parameters, which leads to the occurrence of the hyperchaos, chaos, quasi-periodic and period behaviors in the proposed circuit.

Originality/value

These memristor emulators are simple and easy to physically fabricate, which have been increasingly used for experimentally demonstrating some interesting and striking dynamical behaviors in the memristor-based circuits and systems.

Keywords

Acknowledgements

This work was supported by the grants from the National Natural Science Foundations of China under Grant Number 51777016, 61601062, 61705021 and 51607013.

Compliance with ethical standards Conflict of interest. The authors declare that they have no conflict of interest concerning the publication of this manuscript.

Citation

Bao, B., Luo, J., Bao, H., Xu, Q., Hu, Y. and Chen, M. (2018), "Initial conditions-related dynamical behaviors in PI-type memristor emulator-based canonical Chua’s circuit", Circuit World, Vol. 44 No. 4, pp. 178-186. https://doi.org/10.1108/CW-07-2018-0053

Publisher

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Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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