Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor

A novel generic memristor, dubbed the 6-lobe Chua corsage memristor, is proposed with its nonlinear dynamical analysis and physical realization. The proposed corsage memristor contains four asymptotically stable equilibrium points on its complex and diversified dynamic routes which reveals a 4-state...

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Main Authors: Zubaer I. Mannan, Changju Yang, Shyam P. Adhikari, Hyongsuk Kim
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8405978
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author Zubaer I. Mannan
Changju Yang
Shyam P. Adhikari
Hyongsuk Kim
author_facet Zubaer I. Mannan
Changju Yang
Shyam P. Adhikari
Hyongsuk Kim
author_sort Zubaer I. Mannan
collection DOAJ
description A novel generic memristor, dubbed the 6-lobe Chua corsage memristor, is proposed with its nonlinear dynamical analysis and physical realization. The proposed corsage memristor contains four asymptotically stable equilibrium points on its complex and diversified dynamic routes which reveals a 4-state nonlinear memory device. The higher degree of versatility of its dynamic routes reveal that the proposed memristor has a variety of dynamic paths in response to different initial conditions and exhibits a highly nonlinear contiguous DC V-I curve. The DC V-I curve of the proposed memristor is endowed with an explicit analytical parametric representation. Moreover, the derived three formulas, exponential trajectories of state xnt, time period tfn, and minimum pulse amplitude VA, are required to analyze the movement of the state trajectories on the piecewise linear (PWL) dynamic route map (DRM) of the corsage memristor. These formulas are universal, that is, applicable to any PWL DRM curves for any DC or pulse input and with any number of segments. Nonlinear dynamics and circuit and system theoretic approach are employed to explain the asymptotic quad-stable behavior of the proposed corsage memristor and to design a novel real memristor emulator using off-the-shelf circuit components.
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spelling doaj-art-df535c53c0ca40e3b1e09a652f38e9ba2025-08-20T03:26:25ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/84059788405978Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage MemristorZubaer I. Mannan0Changju Yang1Shyam P. Adhikari2Hyongsuk Kim3Division of Electronics and Information Engineering and Intelligent Robots Research Center (IRRC), Chonbuk National University, Jeonju, Jeonbuk 567-54896, Republic of KoreaDivision of Electronics and Information Engineering and Intelligent Robots Research Center (IRRC), Chonbuk National University, Jeonju, Jeonbuk 567-54896, Republic of KoreaDivision of Electronics and Information Engineering and Intelligent Robots Research Center (IRRC), Chonbuk National University, Jeonju, Jeonbuk 567-54896, Republic of KoreaDivision of Electronics and Information Engineering and Intelligent Robots Research Center (IRRC), Chonbuk National University, Jeonju, Jeonbuk 567-54896, Republic of KoreaA novel generic memristor, dubbed the 6-lobe Chua corsage memristor, is proposed with its nonlinear dynamical analysis and physical realization. The proposed corsage memristor contains four asymptotically stable equilibrium points on its complex and diversified dynamic routes which reveals a 4-state nonlinear memory device. The higher degree of versatility of its dynamic routes reveal that the proposed memristor has a variety of dynamic paths in response to different initial conditions and exhibits a highly nonlinear contiguous DC V-I curve. The DC V-I curve of the proposed memristor is endowed with an explicit analytical parametric representation. Moreover, the derived three formulas, exponential trajectories of state xnt, time period tfn, and minimum pulse amplitude VA, are required to analyze the movement of the state trajectories on the piecewise linear (PWL) dynamic route map (DRM) of the corsage memristor. These formulas are universal, that is, applicable to any PWL DRM curves for any DC or pulse input and with any number of segments. Nonlinear dynamics and circuit and system theoretic approach are employed to explain the asymptotic quad-stable behavior of the proposed corsage memristor and to design a novel real memristor emulator using off-the-shelf circuit components.http://dx.doi.org/10.1155/2018/8405978
spellingShingle Zubaer I. Mannan
Changju Yang
Shyam P. Adhikari
Hyongsuk Kim
Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
Complexity
title Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
title_full Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
title_fullStr Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
title_full_unstemmed Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
title_short Exact Analysis and Physical Realization of the 6-Lobe Chua Corsage Memristor
title_sort exact analysis and physical realization of the 6 lobe chua corsage memristor
url http://dx.doi.org/10.1155/2018/8405978
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AT shyampadhikari exactanalysisandphysicalrealizationofthe6lobechuacorsagememristor
AT hyongsukkim exactanalysisandphysicalrealizationofthe6lobechuacorsagememristor