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dc.contributor.authorRahman, Z.S.A.
dc.contributor.authorJasim, B.H.
dc.contributor.authorAl-Yasir, Yasir I.A.
dc.contributor.authorAbd-Alhameed, Raed
dc.contributor.authorAlhasnawi, B.N.
dc.date.accessioned2021-07-01T13:42:01Z
dc.date.accessioned2021-07-14T13:10:09Z
dc.date.available2021-07-01T13:42:01Z
dc.date.available2021-07-14T13:10:09Z
dc.date.issued2021-07-06
dc.identifier.citationRahman ZSA, Jasim BH, Al-Yasir YIA et al (2021) A New No Equilibrium Fractional Order Chaotic System, Dynamical Investigation, Synchronization and Its Digital Implementation. Inventions. 6(3): 49.en_US
dc.identifier.urihttp://hdl.handle.net/10454/18546
dc.descriptionYesen_US
dc.description.abstractIn this paper, a new fractional order chaotic system without equilibrium is proposed, analyti-cally and numerically investigated, and numerically and experimentally tested. The analytical and numerical investigation were used to describe the system dynamical behaviors including, the system equilibria, the chaotic attractors, the bifurcation diagrams and the Lyapunov expo-nents. Based on the obtained dynamical behaviors, the system can excite hidden chaotic attrac-tors since it has no equilibrium. Then, a synchronization mechanism based on the adaptive con-trol theory has been developed between two identical new systems (master and slave). The adaptive control laws are derived based on synchronization error dynamics of the state varia-bles for the master and slave. Consequently, the update laws of the slave parameters are ob-tained, where the slave parameters are assumed to be uncertain and estimate corresponding to the master parameters by the synchronization process. Furthermore, Arduino Due boards were used to implement the proposed system in order to demonstrate its practicality in real-world applications. The simulation experimental results are obtained by MATLAB and the Arduino Due boards respectively, where a good consistent between the simulation results and the ex-perimental results. indicating that the new fractional order chaotic system is capable of being employed in real-world applications.en_US
dc.language.isoenen_US
dc.rights© 2021 The Authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/4.0/).en_US
dc.subjectFractional orderen_US
dc.subjectDynamicsen_US
dc.subjectChaoticen_US
dc.subjectSystemen_US
dc.subjectSynchronizationen_US
dc.subjectArduino dueen_US
dc.titleA New No Equilibrium Fractional Order Chaotic System, Dynamical Investigation, Synchronization and Its Digital Implementationen_US
dc.status.refereedYesen_US
dc.date.Accepted2021-06-30
dc.typeArticleen_US
dc.type.versionPublished versionen_US
dc.identifier.doihttps://doi.org/10.3390/inventions6030049
dc.date.updated2021-07-01T12:42:12Z
refterms.dateFOA2021-07-14T13:10:38Z
dc.openaccess.statusGolden_US


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