A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption

This paper is reporting on electronic implementation of a three-dimensional autonomous system with infinite equilibrium point belonging to a parabola. Performance analysis of an adaptive synchronization via relay coupling and a hybrid steganography chaos encryption application are provided. Besides...

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Main Authors: Janarthanan Ramadoss, Romanic Kengne, Dianorré Tokoue Ngatcha, Victor Kamdoum Tamba, Karthikeyan Rajagopal, Marceline Motchongom Tingue
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2022/8362836
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author Janarthanan Ramadoss
Romanic Kengne
Dianorré Tokoue Ngatcha
Victor Kamdoum Tamba
Karthikeyan Rajagopal
Marceline Motchongom Tingue
author_facet Janarthanan Ramadoss
Romanic Kengne
Dianorré Tokoue Ngatcha
Victor Kamdoum Tamba
Karthikeyan Rajagopal
Marceline Motchongom Tingue
author_sort Janarthanan Ramadoss
collection DOAJ
description This paper is reporting on electronic implementation of a three-dimensional autonomous system with infinite equilibrium point belonging to a parabola. Performance analysis of an adaptive synchronization via relay coupling and a hybrid steganography chaos encryption application are provided. Besides striking parabolic equilibrium, the proposed three-dimensional autonomous system also exhibits hidden chaotic oscillations as well as hidden chaotic bursting oscillations. Electronic implementation of the hidden chaotic behaviors is done to confirm their physical existence. A good qualitative agreement is shown between numerical simulations and OrCAD-PSpice results. Moreover, adaptive synchronization via relay coupling of three three-dimensional autonomous systems with a parabolic equilibrium is analysed by using time histories. Numerical results demonstrate that global synchronization is achieved between the three units. Finally, chaotic behavior found is exploited to provide a suitable text encryption scheme by hidden secret message inside an image using steganography and chaos encryption.
format Article
id doaj-art-1ac5e92ea36443e489df0afe69249471
institution Kabale University
issn 1099-0526
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-1ac5e92ea36443e489df0afe692494712025-02-03T01:20:17ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8362836A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos EncryptionJanarthanan Ramadoss0Romanic Kengne1Dianorré Tokoue Ngatcha2Victor Kamdoum Tamba3Karthikeyan Rajagopal4Marceline Motchongom Tingue5Center for Artificial IntelligenceResearch Unit of Condensed Matter of Electronics and Signal ProcessingDepartment of Automotive and Mechatronics EngineeringDepartment of Telecommunication and Network EngineeringCenter for Nonlinear SystemsHigher Technical Teachers Training CollegeThis paper is reporting on electronic implementation of a three-dimensional autonomous system with infinite equilibrium point belonging to a parabola. Performance analysis of an adaptive synchronization via relay coupling and a hybrid steganography chaos encryption application are provided. Besides striking parabolic equilibrium, the proposed three-dimensional autonomous system also exhibits hidden chaotic oscillations as well as hidden chaotic bursting oscillations. Electronic implementation of the hidden chaotic behaviors is done to confirm their physical existence. A good qualitative agreement is shown between numerical simulations and OrCAD-PSpice results. Moreover, adaptive synchronization via relay coupling of three three-dimensional autonomous systems with a parabolic equilibrium is analysed by using time histories. Numerical results demonstrate that global synchronization is achieved between the three units. Finally, chaotic behavior found is exploited to provide a suitable text encryption scheme by hidden secret message inside an image using steganography and chaos encryption.http://dx.doi.org/10.1155/2022/8362836
spellingShingle Janarthanan Ramadoss
Romanic Kengne
Dianorré Tokoue Ngatcha
Victor Kamdoum Tamba
Karthikeyan Rajagopal
Marceline Motchongom Tingue
A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
Complexity
title A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
title_full A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
title_fullStr A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
title_full_unstemmed A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
title_short A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Encryption
title_sort three dimensional autonomous system with a parabolic equilibrium dynamical analysis adaptive synchronization via relay coupling and applications to steganography and chaos encryption
url http://dx.doi.org/10.1155/2022/8362836
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