Memristor-based canonical Chua's circuit: extreme multistability in voltage-current domain and its controllability in flux-charge domain
type: Item
instance of: scholarly article
title: Memristor-based canonical Chua's circuit: extreme multistability in voltage-current domain and its controllability in flux-charge domain
zbMATH Open document ID: 1398.93045
DOI: 10.1155/2018/5935637
author: Han Bao
author: Tao Jiang
author: Kaibin Chu
author: Mo Chen
author: Quan Xu
author: Bocheng Bao
published in: Complexity
publication date: 2018-10-04T00:00:00Z
review text: Summary: This paper investigates extreme multistability and its controllability for an ideal voltage-controlled memristor emulator-based canonical Chua's circuit. With the voltage-current model, the initial condition-dependent extreme multistability is explored through analyzing the stability distribution of line equilibrium point and then the coexisting infinitely many attractors are numerically uncovered in such a memristive circuit by the attraction basin and phase portraits. Furthermore, based on the accurate constitutive relation of the memristor emulator, a set of incremental flux-charge describing equations for the memristor-based canonical Chua's circuit are formulated and a dimensionality reduction model is thus established. As a result, the initial condition-dependent dynamics in the voltage-current domain is converted into the system parameter-associated dynamics in the flux-charge domain, which is confirmed by numerical simulations and circuit simulations. Therefore, a controllable strategy for extreme multistability can be expediently implemented, which is greatly significant for seeking chaos-based engineering applications of multistable memristive circuits.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 93B11
zbMATH DE Number: 6946852
zbMATH Keywords: memristor-based canonical Chua's circuit
zbMATH Keywords: extreme multistability
zbMATH Keywords: controllability
zbMATH Keywords: dimensionality reduction model
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5935637
OpenAlex ID: W2790183883
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description: scientific article; zbMATH DE number 6946852