Chaos in fractional system with extreme events

Understanding extreme events attracts scientists due to substantial impacts. In this work, we study the emergence of extreme events in a fractional system derived from a Liénard-type oscillator. The effect of fractional-order derivative on the extreme events has been investigated for both commensura...

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Autores principales: Ouannas, Adel, Debbouche, Nadjette, Pham, Viet-Thanh, Kingston, S Leo, Kapitaniak, Tomasz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Regular Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8184404/
https://www.ncbi.nlm.nih.gov/pubmed/34122740
http://dx.doi.org/10.1140/epjs/s11734-021-00135-8
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author Ouannas, Adel
Debbouche, Nadjette
Pham, Viet-Thanh
Kingston, S Leo
Kapitaniak, Tomasz
author_facet Ouannas, Adel
Debbouche, Nadjette
Pham, Viet-Thanh
Kingston, S Leo
Kapitaniak, Tomasz
author_sort Ouannas, Adel
collection PubMed
description Understanding extreme events attracts scientists due to substantial impacts. In this work, we study the emergence of extreme events in a fractional system derived from a Liénard-type oscillator. The effect of fractional-order derivative on the extreme events has been investigated for both commensurate and incommensurate fractional orders. Especially, such a system displays multistability and coexistence of multiple extreme events.
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spelling pubmed-81844042021-06-08 Chaos in fractional system with extreme events Ouannas, Adel Debbouche, Nadjette Pham, Viet-Thanh Kingston, S Leo Kapitaniak, Tomasz Eur Phys J Spec Top Regular Article Understanding extreme events attracts scientists due to substantial impacts. In this work, we study the emergence of extreme events in a fractional system derived from a Liénard-type oscillator. The effect of fractional-order derivative on the extreme events has been investigated for both commensurate and incommensurate fractional orders. Especially, such a system displays multistability and coexistence of multiple extreme events. Springer Berlin Heidelberg 2021-06-08 2021 /pmc/articles/PMC8184404/ /pubmed/34122740 http://dx.doi.org/10.1140/epjs/s11734-021-00135-8 Text en © The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Regular Article
Ouannas, Adel
Debbouche, Nadjette
Pham, Viet-Thanh
Kingston, S Leo
Kapitaniak, Tomasz
Chaos in fractional system with extreme events
title Chaos in fractional system with extreme events
title_full Chaos in fractional system with extreme events
title_fullStr Chaos in fractional system with extreme events
title_full_unstemmed Chaos in fractional system with extreme events
title_short Chaos in fractional system with extreme events
title_sort chaos in fractional system with extreme events
topic Regular Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8184404/
https://www.ncbi.nlm.nih.gov/pubmed/34122740
http://dx.doi.org/10.1140/epjs/s11734-021-00135-8
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