A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption
In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyper...
| Main Authors: | , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9868214/ |
| _version_ | 1826938463018024960 |
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| author | Khaled Benkouider Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ahmed A. Abd El-Latif Bassem Abd-El-Atty Ciro Fabian Bermudez-Marquez Ibrahim Mohammed Sulaiman Aliyu Muhammed Awwal Poom Kumam |
| author_facet | Khaled Benkouider Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ahmed A. Abd El-Latif Bassem Abd-El-Atty Ciro Fabian Bermudez-Marquez Ibrahim Mohammed Sulaiman Aliyu Muhammed Awwal Poom Kumam |
| author_sort | Khaled Benkouider |
| collection | DOAJ |
| description | In this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyperchaotic system exhibits multistability with coexisting attractors. Using Multisim, we design an electronic circuit for the new 5-D hyperchaotic system. The hardware implementation of the new 5-D hyperchaotic system is done by applying two numerical methods. From the experimental results of the FPGA-based implementation, we show that the attractors observed in a Lecroy oscilloscope are in good agreement with numerical simulations. To prove the reliability of the proposed system for cybersecurity purposes, we present a new image cryptosystem using our hyperchaotic system. Experimental outcomes show the efficiency and the reliability of our cryptosystem based on the proposed hyperchaotic system. |
| first_indexed | 2024-04-14T03:46:56Z |
| format | Article |
| id | doaj.art-8ac9faa136884775a037f54d97fe0e8b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2025-02-17T18:58:19Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-8ac9faa136884775a037f54d97fe0e8b2024-12-11T00:03:11ZengIEEEIEEE Access2169-35362022-01-0110901119013210.1109/ACCESS.2022.31977909868214A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image EncryptionKhaled Benkouider0https://orcid.org/0000-0002-8345-3069Sundarapandian Vaidyanathan1Aceng Sambas2https://orcid.org/0000-0002-1623-0770Esteban Tlelo-Cuautle3Ahmed A. Abd El-Latif4https://orcid.org/0000-0002-5068-2033Bassem Abd-El-Atty5https://orcid.org/0000-0003-4739-0037Ciro Fabian Bermudez-Marquez6Ibrahim Mohammed Sulaiman7https://orcid.org/0000-0001-5246-6636Aliyu Muhammed Awwal8https://orcid.org/0000-0002-1040-3626Poom Kumam9https://orcid.org/0000-0002-5463-4581Automatic Department, Non Destructive Testing Laboratory, University of Jijel, Jijel, AlgeriaSchool of Electrical and Communication Engineering, Vel Tech University, Avadi, Chennai, Tamil Nadu, IndiaDepartment of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tasikmalaya, IndonesiaDepartment of Electronics, Instituto Nacional de Astrofísica, Öptica y Electrónica (INAOE), Puebla, MexicoEIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Computer Science, Faculty of Computers and Information, Luxor University, Luxor, EgyptDepartment of Electronics, Instituto Nacional de Astrofísica, Öptica y Electrónica (INAOE), Puebla, MexicoSchool of Quantitative Sciences, Institute of Strategic Industrial Decision Modelling (ISIDM), Universiti Utara Malaysia, Sintok, Kedah, MalaysiaDepartments of Mathematics, KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thung Khru, Bangkok, ThailandDepartments of Mathematics, KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thung Khru, Bangkok, ThailandIn this work, we describe the model of a new 5-D hyperchaotic system with three positive Lyapunov exponents. Since the maximum positive Lyapunov exponent of the proposed hyperchaotic system is larger than twelve, the new hyperchaotic system is highly hyperchaotic. We also show that the new 5-D hyperchaotic system exhibits multistability with coexisting attractors. Using Multisim, we design an electronic circuit for the new 5-D hyperchaotic system. The hardware implementation of the new 5-D hyperchaotic system is done by applying two numerical methods. From the experimental results of the FPGA-based implementation, we show that the attractors observed in a Lecroy oscilloscope are in good agreement with numerical simulations. To prove the reliability of the proposed system for cybersecurity purposes, we present a new image cryptosystem using our hyperchaotic system. Experimental outcomes show the efficiency and the reliability of our cryptosystem based on the proposed hyperchaotic system.https://ieeexplore.ieee.org/document/9868214/Hyperchaoshyperchaotic systemsbifurcationsmulti-stabilityattractorsLyapunov exponents |
| spellingShingle | Khaled Benkouider Sundarapandian Vaidyanathan Aceng Sambas Esteban Tlelo-Cuautle Ahmed A. Abd El-Latif Bassem Abd-El-Atty Ciro Fabian Bermudez-Marquez Ibrahim Mohammed Sulaiman Aliyu Muhammed Awwal Poom Kumam A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption IEEE Access Hyperchaos hyperchaotic systems bifurcations multi-stability attractors Lyapunov exponents |
| title | A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption |
| title_full | A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption |
| title_fullStr | A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption |
| title_full_unstemmed | A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption |
| title_short | A New 5-D Multistable Hyperchaotic System With Three Positive Lyapunov Exponents: Bifurcation Analysis, Circuit Design, FPGA Realization and Image Encryption |
| title_sort | new 5 d multistable hyperchaotic system with three positive lyapunov exponents bifurcation analysis circuit design fpga realization and image encryption |
| topic | Hyperchaos hyperchaotic systems bifurcations multi-stability attractors Lyapunov exponents |
| url | https://ieeexplore.ieee.org/document/9868214/ |
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