A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption

In this work, we devise a new 5-D hyperchaotic dynamo system by adding two feedback controllers to the Rikitake 2-disk dynamo system (1958). We show that the new 5-D hyperchaotic system does not possess any equilibrium point and deduce that the new 5-D system has a hidden hyperchaotic attractor. Usi...

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Veröffentlicht in:IEEE access 2021, Vol.9, p.81352-81369
Hauptverfasser: Vaidyanathan, Sundarapandian, Sambas, Aceng, Abd-El-Atty, Bassem, El-Latif, Ahmed A. Abd, Tlelo-Cuautle, Esteban, Guillen-Fernandez, Omar, Mamat, Mustafa, Mohamed, Mohamad Afendee, Alcin, Murat, Tuna, Murat, Pehlivan, Ihsan, Koyuncu, Ismail, Ibrahim, Mohd Asrul Hery
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container_issue
container_start_page 81352
container_title IEEE access
container_volume 9
creator Vaidyanathan, Sundarapandian
Sambas, Aceng
Abd-El-Atty, Bassem
El-Latif, Ahmed A. Abd
Tlelo-Cuautle, Esteban
Guillen-Fernandez, Omar
Mamat, Mustafa
Mohamed, Mohamad Afendee
Alcin, Murat
Tuna, Murat
Pehlivan, Ihsan
Koyuncu, Ismail
Ibrahim, Mohd Asrul Hery
description In this work, we devise a new 5-D hyperchaotic dynamo system by adding two feedback controllers to the Rikitake 2-disk dynamo system (1958). We show that the new 5-D hyperchaotic system does not possess any equilibrium point and deduce that the new 5-D system has a hidden hyperchaotic attractor. Using Multisim, we develop an electronic circuit design of the new 5-D hyperchaotic dynamo system for practical applications. We also exhibit the implementation of the new 5-D hyperchaotic dynamo system by using a field-programmable gate array (FPGA), which requires adders, subtractors and multipliers. The hardware resources are given for the application of three numerical methods, all of them providing results in good agreement with MATLAB simulations. As an application, we devise a dual core high speed hybrid true random number generator (TRNG) using Ring and Heun algorithm based on the new 5-D hyperchaotic oscillator on FPGA. Based on the hyperchaotic features of the proposed 5-D hyperchaotic dynamo system, we suggest a new encryption approach for colour images. Simulation outcomes of the presented encryption approach confirm that our chaotic system has good cryptographic properties and its usability in different cryptographic purposes.
doi_str_mv 10.1109/ACCESS.2021.3085483
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subjects Algorithms
Chaos theory
Chaotic communication
Circuit design
Circuits
Communication systems
Cryptography
data protection
Electronic circuits
Encryption
Feedback control
Field programmable gate arrays
FPGA
Generators
hidden attractors
Hyperchaos
hyperchaotic systems
image encryption
Mathematical model
Matlab
multi-stability
Numerical methods
Random numbers
TRNG
title A 5-D Multi-Stable Hyperchaotic Two-Disk Dynamo System With No Equilibrium Point: Circuit Design, FPGA Realization and Applications to TRNGs and Image Encryption
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