The fractional-order Lorenz-type systems: A review

This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong to large Lorenz family, are presented together with equilibri...

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Detalles Bibliográficos
Autor principal: Petráš, Ivo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Review
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9015702/
https://www.ncbi.nlm.nih.gov/pubmed/35465148
http://dx.doi.org/10.1007/s13540-022-00016-4
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author Petráš, Ivo
author_facet Petráš, Ivo
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description This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong to large Lorenz family, are presented together with equilibria, eigenvalues as well as attractors of these systems in 3-dimensional state space, respectively.
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spelling pubmed-90157022022-04-19 The fractional-order Lorenz-type systems: A review Petráš, Ivo Fract Calc Appl Anal Review This paper deals with a survey of Lorenz-type systems. For the first time, a new classification of the fractional-order Lorenz-type systems was introduced. Several chaotic systems, as particular cases of the new general form, which belong to large Lorenz family, are presented together with equilibria, eigenvalues as well as attractors of these systems in 3-dimensional state space, respectively. Springer International Publishing 2022-04-18 2022 /pmc/articles/PMC9015702/ /pubmed/35465148 http://dx.doi.org/10.1007/s13540-022-00016-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Review
Petráš, Ivo
The fractional-order Lorenz-type systems: A review
title The fractional-order Lorenz-type systems: A review
title_full The fractional-order Lorenz-type systems: A review
title_fullStr The fractional-order Lorenz-type systems: A review
title_full_unstemmed The fractional-order Lorenz-type systems: A review
title_short The fractional-order Lorenz-type systems: A review
title_sort fractional-order lorenz-type systems: a review
topic Review
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9015702/
https://www.ncbi.nlm.nih.gov/pubmed/35465148
http://dx.doi.org/10.1007/s13540-022-00016-4
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