Recurrence analysis of fractional-order Lorenz system

Recurrence analysis of fractional-order Lorenz system

The fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lor...

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Main Authors: Rysak Andrzej, Gregorczyk Magdalena
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:MATEC Web of Conferences
Online Access:https://doi.org/10.1051/matecconf/201821103008
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spelling doaj-d4c433cca6c4491baacd46695d632a4f2021-04-02T11:11:35ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-012110300810.1051/matecconf/201821103008matecconf_vetomacxiv2018_03008Recurrence analysis of fractional-order Lorenz systemRysak AndrzejGregorczyk MagdalenaThe fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lorenz dynamical system, described by equations with the fractional derivative components. The impact of the fractional derivative terms on the system dynamics and stability is analyzed by using phase diagrams and recurrence plot analysis.https://doi.org/10.1051/matecconf/201821103008
collection DOAJ
language English
format Article
sources DOAJ
author Rysak Andrzej
Gregorczyk Magdalena
spellingShingle Rysak Andrzej
Gregorczyk Magdalena
Recurrence analysis of fractional-order Lorenz system
MATEC Web of Conferences
author_facet Rysak Andrzej
Gregorczyk Magdalena
author_sort Rysak Andrzej
title Recurrence analysis of fractional-order Lorenz system
title_short Recurrence analysis of fractional-order Lorenz system
title_full Recurrence analysis of fractional-order Lorenz system
title_fullStr Recurrence analysis of fractional-order Lorenz system
title_full_unstemmed Recurrence analysis of fractional-order Lorenz system
title_sort recurrence analysis of fractional-order lorenz system
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2018-01-01
description The fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lorenz dynamical system, described by equations with the fractional derivative components. The impact of the fractional derivative terms on the system dynamics and stability is analyzed by using phase diagrams and recurrence plot analysis.
url https://doi.org/10.1051/matecconf/201821103008
work_keys_str_mv AT rysakandrzej recurrenceanalysisoffractionalorderlorenzsystem
AT gregorczykmagdalena recurrenceanalysisoffractionalorderlorenzsystem
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