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Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order

The fractional-order Newton-Leipnik system (FoNLs) was studied in this paper from the point of view of two strange attractors. Within the same parameter condition of FoNLs, the different of initial conditions are numerically studied. The ranges are relatively wide for the different initial condition...

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Main Authors: Abd Latiff, Fatin Nabila, Mior Othman, Wan Ainun, Kumaresan, N.
Format: Article
Published: Taru Publications 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/34836/
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spelling my.um.eprints.348362022-05-11T08:36:22Z http://eprints.um.edu.my/34836/ Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order Abd Latiff, Fatin Nabila Mior Othman, Wan Ainun Kumaresan, N. QA Mathematics The fractional-order Newton-Leipnik system (FoNLs) was studied in this paper from the point of view of two strange attractors. Within the same parameter condition of FoNLs, the different of initial conditions are numerically studied. The ranges are relatively wide for the different initial conditions used in this analysis and the synchronization of two identical FoNLs is investigated in this paper. An active control is the technique used for achieving the synchronization between chaotic FoNLs. Based on the theory of Laplace transformation (LTF), the conditions for achieving synchronisation of fractional order systems are studied. In order to verify the efficiency and viability of this process, numerical simulations are given, so the outcome of the process is simultaneously validated with theoretical models and computational methods. The above concept is also applied by this paper to secure communications using the chaotic masking system. Taru Publications 2021-05-19 Article PeerReviewed Abd Latiff, Fatin Nabila and Mior Othman, Wan Ainun and Kumaresan, N. (2021) Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order. Journal of Interdisciplinary Mathematics, 24 (4). pp. 931-945. ISSN 0972-0502, DOI https://doi.org/10.1080/09720502.2020.1856342 <https://doi.org/10.1080/09720502.2020.1856342>. 10.1080/09720502.2020.1856342
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Abd Latiff, Fatin Nabila
Mior Othman, Wan Ainun
Kumaresan, N.
Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
description The fractional-order Newton-Leipnik system (FoNLs) was studied in this paper from the point of view of two strange attractors. Within the same parameter condition of FoNLs, the different of initial conditions are numerically studied. The ranges are relatively wide for the different initial conditions used in this analysis and the synchronization of two identical FoNLs is investigated in this paper. An active control is the technique used for achieving the synchronization between chaotic FoNLs. Based on the theory of Laplace transformation (LTF), the conditions for achieving synchronisation of fractional order systems are studied. In order to verify the efficiency and viability of this process, numerical simulations are given, so the outcome of the process is simultaneously validated with theoretical models and computational methods. The above concept is also applied by this paper to secure communications using the chaotic masking system.
format Article
author Abd Latiff, Fatin Nabila
Mior Othman, Wan Ainun
Kumaresan, N.
author_facet Abd Latiff, Fatin Nabila
Mior Othman, Wan Ainun
Kumaresan, N.
author_sort Abd Latiff, Fatin Nabila
title Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
title_short Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
title_full Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
title_fullStr Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
title_full_unstemmed Controlling the initial condition of coupled synchronization of chaotic fractional Newton-Leipnik system for its stability with minimal order
title_sort controlling the initial condition of coupled synchronization of chaotic fractional newton-leipnik system for its stability with minimal order
publisher Taru Publications
publishDate 2021
url http://eprints.um.edu.my/34836/
_version_ 1735409625232048128
score 13.211869

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