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dc.contributor.authorRahman, Z.S.A.
dc.contributor.authorJasim, B.H.
dc.contributor.authorAl-Yasir, Yasir I.A.
dc.contributor.authorHu, Yim Fun
dc.contributor.authorAbd-Alhameed, Raed
dc.contributor.authorAlhasnawi, B.N.
dc.date.accessioned2021-11-12T09:49:14Z
dc.date.accessioned2021-11-26T09:53:31Z
dc.date.available2021-11-12T09:49:14Z
dc.date.available2021-11-26T09:53:31Z
dc.date.issued2021-10-15
dc.identifier.citationRahman 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.en_US
dc.identifier.urihttp://hdl.handle.net/10454/18652
dc.descriptionYesen_US
dc.description.abstractThis 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.en_US
dc.language.isoenen_US
dc.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/)en_US
dc.subjectAdaptive synchronisationen_US
dc.subjectChaotic systemsen_US
dc.subjectFractional-orderen_US
dc.subjectMicrocontrolleren_US
dc.subjectSecure communicationsen_US
dc.titleA new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applicationsen_US
dc.status.refereedYesen_US
dc.date.Accepted2021-10-12
dc.typeArticleen_US
dc.type.versionPublished versionen_US
dc.identifier.doihttps://doi.org/10.3390/math9202593
dc.date.updated2021-11-12T09:49:29Z
refterms.dateFOA2021-11-26T09:53:52Z
dc.openaccess.statusGolden_US


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