1. Repositório Institucional da UFMG
  2. Publicações Científicas e Culturais
  3. Artigo de Periódico
Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/57005
Full metadata record
DC FieldValueLanguage
dc.creatorErivelton Geraldo Nepomucenopt_BR
dc.creatorSamir Martinspt_BR
dc.creatorMárcio Lacerdapt_BR
dc.creatorEduardo Mazoni Andrade Marçal Mendespt_BR
dc.date.accessioned2023-07-26T17:03:32Z-
dc.date.available2023-07-26T17:03:32Z-
dc.date.issued2018-
dc.citation.volume2018pt_BR
dc.citation.spage1pt_BR
dc.citation.epage9pt_BR
dc.identifier.doihttps://doi.org/10.1155/2018/6909151pt_BR
dc.identifier.issn1024-123Xpt_BR
dc.identifier.urihttp://hdl.handle.net/1843/57005-
dc.description.resumoA method to estimate the (positive) largest Lyapunov exponent (LLE) from data using interval extensions is proposed. The method differs from the ones available in the literature in its simplicity since it is only based on three rather simple steps. Firstly, a polynomial NARMAX is used to identify a model from the data under investigation. Secondly, interval extensions, which can be easily extracted from the identified model, are used to calculate the lower bound error. Finally, a simple linear fit to the logarithm of lower bound error is obtained and then the LLE is retrieved from it as the third step. To illustrate the proposed method, the LLE is calculated for the following well-known benchmarks: sine map, Rössler Equations, and Mackey-Glass Equations from identified models given in the literature and also from two identified NARMAX models: a chaotic jerk circuit and the tent map. In the latter, a Gaussian noise has been added to show the robustness of the proposed method.pt_BR
dc.languageporpt_BR
dc.publisherUniversidade Federal de Minas Geraispt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICApt_BR
dc.publisher.initialsUFMGpt_BR
dc.relation.ispartofMathematical problems in engineeringpt_BR
dc.rightsAcesso Abertopt_BR
dc.subjectInterval extensionspt_BR
dc.subjectLiapunovpt_BR
dc.subject.otherLiapunov, Funções dept_BR
dc.titleOn the use of interval extensions to estimate the largest lyapunov exponent from chaotic datapt_BR
dc.typeArtigo de Periódicopt_BR
dc.url.externahttps://www.hindawi.com/journals/mpe/2018/6909151/#copyrightpt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-5841-2193pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-1702-8504pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0001-8487-3535pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-3267-3862pt_BR
Appears in Collections:Artigo de Periódico

Files in This Item:
File Description SizeFormat 
On the Use of Interval Extensions to Estimate the Largest Lyapunov Exponent from Chaotic Data.pdf5.35 MBAdobe PDFView/Open
Show simple item record


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.