A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization

A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization

This paper introduces a new chaotic system with two circles of equilibrium points. The dynamical properties of the proposed dynamical system are investigated through evaluating Lyapunov exponents, bifurcation diagram and multistability. The qualitative study shows that the new system exhibits coexis...

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Main Authors: Aceng Sambas, Sundarapandian Vaidyanathan, Esteban Tlelo-Cuautle, Sen Zhang, Omar Guillen-Fernandez, Sukono, Yuyun Hidayat, Gugun Gundara
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Electronics
Subjects:
chaotic system
close curve equilibrium
multistability
electronic circuit
fpga
Online Access:https://www.mdpi.com/2079-9292/8/11/1211
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spelling doaj-425fc87676f64e0eab9742a3ac45bf152020-11-25T03:25:11ZengMDPI AGElectronics2079-92922019-10-01811121110.3390/electronics8111211electronics8111211A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA RealizationAceng Sambas0Sundarapandian Vaidyanathan1Esteban Tlelo-Cuautle2Sen Zhang3Omar Guillen-Fernandez4Sukono5Yuyun Hidayat6Gugun Gundara7Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, IndonesiaResearch and Development Centre, Vel Tech University, Chennai 600062, IndiaDepartment of Electronics, National Institute of Astrophysics, Optics and Electronics (INAOE), Tonantzintla Puebla 72840, MexicoSchool of Physics and Opotoelectric Engineering, Xiangtan University, Xiangtan 411105, ChinaDepartment of Electronics, National Institute of Astrophysics, Optics and Electronics (INAOE), Tonantzintla Puebla 72840, MexicoDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, IndonesiaDepartment of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya 46196, IndonesiaThis paper introduces a new chaotic system with two circles of equilibrium points. The dynamical properties of the proposed dynamical system are investigated through evaluating Lyapunov exponents, bifurcation diagram and multistability. The qualitative study shows that the new system exhibits coexisting periodic and chaotic attractors for different values of parameters. The new chaotic system is implemented in both analog and digital electronics. In the former case, we introduce the analog circuit of the proposed chaotic system with two circles of equilibrium points using amplifiers, which is simulated in MultiSIM software, version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. In addition, we perform the digital implementation of the new chaotic system using field-programmable gate arrays (FPGA), the experimental observations of the attractors of which confirm its suitability to generate chaotic behavior.https://www.mdpi.com/2079-9292/8/11/1211chaotic systemclose curve equilibriummultistabilityelectronic circuitfpga
collection DOAJ
language English
format Article
sources DOAJ
author Aceng Sambas
Sundarapandian Vaidyanathan
Esteban Tlelo-Cuautle
Sen Zhang
Omar Guillen-Fernandez
Sukono
Yuyun Hidayat
Gugun Gundara
spellingShingle Aceng Sambas
Sundarapandian Vaidyanathan
Esteban Tlelo-Cuautle
Sen Zhang
Omar Guillen-Fernandez
Sukono
Yuyun Hidayat
Gugun Gundara
A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
Electronics
chaotic system
close curve equilibrium
multistability
electronic circuit
fpga
author_facet Aceng Sambas
Sundarapandian Vaidyanathan
Esteban Tlelo-Cuautle
Sen Zhang
Omar Guillen-Fernandez
Sukono
Yuyun Hidayat
Gugun Gundara
author_sort Aceng Sambas
title A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
title_short A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
title_full A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
title_fullStr A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
title_full_unstemmed A Novel Chaotic System with Two Circles of Equilibrium Points: Multistability, Electronic Circuit and FPGA Realization
title_sort novel chaotic system with two circles of equilibrium points: multistability, electronic circuit and fpga realization
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2019-10-01
description This paper introduces a new chaotic system with two circles of equilibrium points. The dynamical properties of the proposed dynamical system are investigated through evaluating Lyapunov exponents, bifurcation diagram and multistability. The qualitative study shows that the new system exhibits coexisting periodic and chaotic attractors for different values of parameters. The new chaotic system is implemented in both analog and digital electronics. In the former case, we introduce the analog circuit of the proposed chaotic system with two circles of equilibrium points using amplifiers, which is simulated in MultiSIM software, version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. In addition, we perform the digital implementation of the new chaotic system using field-programmable gate arrays (FPGA), the experimental observations of the attractors of which confirm its suitability to generate chaotic behavior.
topic chaotic system
close curve equilibrium
multistability
electronic circuit
fpga
url https://www.mdpi.com/2079-9292/8/11/1211
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