Remarks on the Numerical Analysis of Basins of Attraction using Complex Variables

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Autor(es): dc.contributorUTFPR-
Autor(es): dc.contributorPUC-
Autor(es): dc.contributorCentro Universit´ario FAVENI-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorRibeiro, Mauricio A.-
Autor(es): dc.creatorMartins, Pamela Rafaela-
Autor(es): dc.creatorMeurer, Daniel Felipe-
Autor(es): dc.creatorDaum, Hilson Henrique-
Autor(es): dc.creatorTusset, Aˆngelo M.-
Autor(es): dc.creatorBalthazar, Jose Manoel-
Data de aceite: dc.date.accessioned2025-08-21T15:21:18Z-
Data de disponibilização: dc.date.available2025-08-21T15:21:18Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.5890/JVTSD.2025.06.008-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/307799-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/307799-
Descrição: dc.descriptionWe investigate the behavior of basins of attraction and the nonlin- ear dynamics of an oscillator described in complex variables. To do this, we analyze the basin entropy and the uncertainty coefficient, establishing whether the attraction basins have the sieve phenom- ena. Another analysis carried out was with the Lyapunov exponent, which described the chaotic regions in which the oscillator is present. Thus, we were able to diagnose the behavior of the trajectories in phase space. As a result, we determined the set of parameters for Poincar´e maps with their respective initial conditions. Such analyses corroborate future work involving control design to suppress chaotic behavior. ©2025 L&H Scientific Publishing, LLC. All rights reserved.-
Descrição: dc.descriptionDepartment of Electrical UTFPR, Campus Ponta Grossa-
Descrição: dc.descriptionDepartment of Physics PUC, Campus Curitiba-
Descrição: dc.descriptionCentro Universit´ario FAVENI, Campus Curitiba-
Descrição: dc.descriptionMechanical Faculty UNESP, Campus Bauru-
Descrição: dc.descriptionMechanical Faculty UNESP, Campus Bauru-
Formato: dc.format179-186-
Idioma: dc.languageen-
Relação: dc.relationJournal of Vibration Testing and System Dynamics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBasins of attraction-
Palavras-chave: dc.subjectComplex variable-
Palavras-chave: dc.subjectNonlinear dynamics-
Título: dc.titleRemarks on the Numerical Analysis of Basins of Attraction using Complex Variables-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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