Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design

In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontrol...

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Main Authors: Junxia Wang, Li Xiao, Karthikeyan Rajagopal, Akif Akgul, Serdar Cicek, Burak Aricioglu
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/2/340
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author Junxia Wang
Li Xiao
Karthikeyan Rajagopal
Akif Akgul
Serdar Cicek
Burak Aricioglu
author_facet Junxia Wang
Li Xiao
Karthikeyan Rajagopal
Akif Akgul
Serdar Cicek
Burak Aricioglu
author_sort Junxia Wang
collection DOAJ
description In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.
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spelling doaj.art-ef3a7e8f2c594b1b918dcb37033d01dd2023-12-11T17:41:26ZengMDPI AGSymmetry2073-89942021-02-0113234010.3390/sym13020340Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit DesignJunxia Wang0Li Xiao1Karthikeyan Rajagopal2Akif Akgul3Serdar Cicek4Burak Aricioglu5School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaSchool of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaCenter for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, IndiaDepartment of Computer Engineering, Faculty of Engineering, Hitit University, Corum 19030, TurkeyDepartment of Electronic & Automation, Vocational School of Hacibektas, Nevsehir Haci Bektas Veli University, Nevsehir 50800, TurkeyDepartment of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya 54187, TurkeyIn the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.https://www.mdpi.com/2073-8994/13/2/340modified Chua’s circuitstabilitybifurcationfractional-order analysismicrocontroller-based implementation
spellingShingle Junxia Wang
Li Xiao
Karthikeyan Rajagopal
Akif Akgul
Serdar Cicek
Burak Aricioglu
Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
Symmetry
modified Chua’s circuit
stability
bifurcation
fractional-order analysis
microcontroller-based implementation
title Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
title_full Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
title_fullStr Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
title_full_unstemmed Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
title_short Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
title_sort fractional order analysis of modified chua s circuit system with the smooth degree of 3 and its microcontroller based implementation with analog circuit design
topic modified Chua’s circuit
stability
bifurcation
fractional-order analysis
microcontroller-based implementation
url https://www.mdpi.com/2073-8994/13/2/340
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AT karthikeyanrajagopal fractionalorderanalysisofmodifiedchuascircuitsystemwiththesmoothdegreeof3anditsmicrocontrollerbasedimplementationwithanalogcircuitdesign
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