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    A new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applications

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    Publication date
    2021-10-15
    Author
    Rahman, Z.S.A.
    Jasim, B.H.
    Al-Yasir, Yasir I.A.
    Hu, Yim Fun
    Abd-Alhameed, Raed A.
    Alhasnawi, B.N.
    Keyword
    Adaptive synchronisation
    Chaotic systems
    Fractional-order
    Microcontroller
    Secure communications
    Rights
    (c) 2021 The Authors. This is an Open Access article distributed under the Creative Commons CC-BY license (https://creativecommons.org/licenses/by/4.0/)
    Peer-Reviewed
    Yes
    Open Access status
    Gold
    
    Metadata
    Show full item record
    Abstract
    This article presents a novel four-dimensional autonomous fractional-order chaotic system (FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors, equilibrium points, fractal dimension, Lyapunov exponent, and bifurcation diagrams of this new FOCS, are studied analytically and numerically. Adaptive control laws are derived based on Lyapunov theory to achieve chaos synchronization between two identical new FOCSs with an uncertain parameter. For these two identical FOCSs, one represents the master and the other is the slave. The uncertain parameter in the slave side was estimated corresponding to the equivalent master parameter. Next, this FOCS and its synchronization were realized by a feasible electronic circuit and tested using Multisim software. In addition, a microcontroller (Arduino Due) was used to implement the sug-gested system and the developed synchronization technique to demonstrate its digital applicability in real-world applications. Furthermore, based on the developed synchronization mechanism, a secure communication scheme was constructed. Finally, the security analysis metric tests were investigated through histograms and spectrograms analysis to confirm the security strength of the employed communication system. Numerical simulations demonstrate the validity and possibility of using this new FOCS in high-level security communication systems. Furthermore, the secure communication system is highly resistant to pirate attacks. A good agreement between simulation and experimental results is obtained, showing that the new FOCS can be used in real-world applications.
    URI
    http://hdl.handle.net/10454/18652
    Version
    Published version
    Citation
    Rahman ZSA, Jasim BH, Al-Yasir YIA (2021) A new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applications. Mathematics. 9(20): 2593.
    Link to publisher’s version
    https://doi.org/10.3390/math9202593
    Type
    Article
    Collections
    Engineering and Informatics Publications

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