Chaos control and analysis of fractional order neural network under electromagnetic radiation

Chaos control and analysis of fractional order neural network under electromagnetic radiation

In the manuscript, fractional order neural network under electromagnetic radiation is introduced and its dynamics studied using Lyapunov exponents, stagnation points, symmetry, bifurcation diagrams etc. The dynamics for variable fractional order between 0.8 to 1 is also observed. The neural network...

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Main Authors: F.M. Allehiany, Emad E. Mahmoud, Lone Seth Jahanzaib, Pushali Trikha, Hammad Alotaibi
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Physics
Subjects:
37N25
37N35
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720321951
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spelling doaj-6d6c04b154864dfeafa022eacfb745ce2021-02-13T04:24:16ZengElsevierResults in Physics2211-37972021-02-0121103786Chaos control and analysis of fractional order neural network under electromagnetic radiationF.M. Allehiany0Emad E. Mahmoud1Lone Seth Jahanzaib2Pushali Trikha3Hammad Alotaibi4Department of Mathematical Sciences, College of Applied Sciences, Umm Al-Qura university, P.O.Box: 715, Makkah 21955, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt; Corresponding author at: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia.Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics, Jamia Millia Islamia, New Delhi 110025, IndiaDepartment of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi ArabiaIn the manuscript, fractional order neural network under electromagnetic radiation is introduced and its dynamics studied using Lyapunov exponents, stagnation points, symmetry, bifurcation diagrams etc. The dynamics for variable fractional order between 0.8 to 1 is also observed. The neural network model shows high sensitivity to external stimuli. The neural functioning shows improvement when exposed to the right amount of electromagnetic radiations. The chaos in the studied dynamical system is controlled about its unique stagnation point using SMC controllers in presence of uncertainties and disturbances, which are also estimated in this method. These results could bring vision into the occurrence of neuron related problems.http://www.sciencedirect.com/science/article/pii/S221137972032195137N2537N35
collection DOAJ
language English
format Article
sources DOAJ
author F.M. Allehiany
Emad E. Mahmoud
Lone Seth Jahanzaib
Pushali Trikha
Hammad Alotaibi
spellingShingle F.M. Allehiany
Emad E. Mahmoud
Lone Seth Jahanzaib
Pushali Trikha
Hammad Alotaibi
Chaos control and analysis of fractional order neural network under electromagnetic radiation
Results in Physics
37N25
37N35
author_facet F.M. Allehiany
Emad E. Mahmoud
Lone Seth Jahanzaib
Pushali Trikha
Hammad Alotaibi
author_sort F.M. Allehiany
title Chaos control and analysis of fractional order neural network under electromagnetic radiation
title_short Chaos control and analysis of fractional order neural network under electromagnetic radiation
title_full Chaos control and analysis of fractional order neural network under electromagnetic radiation
title_fullStr Chaos control and analysis of fractional order neural network under electromagnetic radiation
title_full_unstemmed Chaos control and analysis of fractional order neural network under electromagnetic radiation
title_sort chaos control and analysis of fractional order neural network under electromagnetic radiation
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-02-01
description In the manuscript, fractional order neural network under electromagnetic radiation is introduced and its dynamics studied using Lyapunov exponents, stagnation points, symmetry, bifurcation diagrams etc. The dynamics for variable fractional order between 0.8 to 1 is also observed. The neural network model shows high sensitivity to external stimuli. The neural functioning shows improvement when exposed to the right amount of electromagnetic radiations. The chaos in the studied dynamical system is controlled about its unique stagnation point using SMC controllers in presence of uncertainties and disturbances, which are also estimated in this method. These results could bring vision into the occurrence of neuron related problems.
topic 37N25
37N35
url http://www.sciencedirect.com/science/article/pii/S2211379720321951
work_keys_str_mv AT fmallehiany chaoscontrolandanalysisoffractionalorderneuralnetworkunderelectromagneticradiation
AT emademahmoud chaoscontrolandanalysisoffractionalorderneuralnetworkunderelectromagneticradiation
AT lonesethjahanzaib chaoscontrolandanalysisoffractionalorderneuralnetworkunderelectromagneticradiation
AT pushalitrikha chaoscontrolandanalysisoffractionalorderneuralnetworkunderelectromagneticradiation
AT hammadalotaibi chaoscontrolandanalysisoffractionalorderneuralnetworkunderelectromagneticradiation
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