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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MDPI AG
2021-02-01
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Series: | Symmetry |
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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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id | doaj.art-ef3a7e8f2c594b1b918dcb37033d01dd |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-03-09T00:44:14Z |
publishDate | 2021-02-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
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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