Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator

Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator

The recurrence analysis is a promising tool for diagnostics of periodic and chaotic solutions, as well as identifying bifurcations. This paper deals with the application of this analysis for the first time to identify regular and non-regular motions of a superelastic shape memory alloy oscillator. T...

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Main Authors: Iwaniec Joanna, Litak Grzegorz, Bernardini Davide, Savi Marcelo A.
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20171505013
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spelling doaj-ce102c21e7d34b9e909418792d22da792021-02-02T03:45:57ZengEDP SciencesITM Web of Conferences2271-20972017-01-01150501310.1051/itmconf/20171505013itmconf_cmes-17_05013Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillatorIwaniec JoannaLitak GrzegorzBernardini DavideSavi Marcelo A.The recurrence analysis is a promising tool for diagnostics of periodic and chaotic solutions, as well as identifying bifurcations. This paper deals with the application of this analysis for the first time to identify regular and non-regular motions of a superelastic shape memory alloy oscillator. The numerical analyses show that the method is capable of distinguishing periodic and chaotic trajectories. Recurrence quantities are applied, showing that different approaches are possible to establish the distinction between periodic and chaotic signals. Basically, recurrence entropy, trapping time, and characteristic recurrence time are considered.https://doi.org/10.1051/itmconf/20171505013
collection DOAJ
language English
format Article
sources DOAJ
author Iwaniec Joanna
Litak Grzegorz
Bernardini Davide
Savi Marcelo A.
spellingShingle Iwaniec Joanna
Litak Grzegorz
Bernardini Davide
Savi Marcelo A.
Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
ITM Web of Conferences
author_facet Iwaniec Joanna
Litak Grzegorz
Bernardini Davide
Savi Marcelo A.
author_sort Iwaniec Joanna
title Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
title_short Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
title_full Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
title_fullStr Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
title_full_unstemmed Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
title_sort recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2017-01-01
description The recurrence analysis is a promising tool for diagnostics of periodic and chaotic solutions, as well as identifying bifurcations. This paper deals with the application of this analysis for the first time to identify regular and non-regular motions of a superelastic shape memory alloy oscillator. The numerical analyses show that the method is capable of distinguishing periodic and chaotic trajectories. Recurrence quantities are applied, showing that different approaches are possible to establish the distinction between periodic and chaotic signals. Basically, recurrence entropy, trapping time, and characteristic recurrence time are considered.
url https://doi.org/10.1051/itmconf/20171505013
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AT litakgrzegorz recurrenceanalysisofregularandchaoticmotionsofasuperelasticshapememoryoscillator
AT bernardinidavide recurrenceanalysisofregularandchaoticmotionsofasuperelasticshapememoryoscillator
AT savimarceloa recurrenceanalysisofregularandchaoticmotionsofasuperelasticshapememoryoscillator
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