On Nonlinear and Nonideal Dynamics of Three Coupled Van der Pol Oscillators Applied to Hemodynamics

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Autor(es): dc.contributorUniversity Federal Technology of Paran´a - UTFPR-
Autor(es): dc.contributorUniversidade Federal de Minas Gerais (UFMG)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversity Federal of Dourados - UFGD-
Autor(es): dc.creatorde O. M. Silva, Gabriella-
Autor(es): dc.creatorRibeiro, Mauricio A.-
Autor(es): dc.creatorBalthazar, Jose Manoel-
Autor(es): dc.creatorde Lima, Jeferson J.-
Autor(es): dc.creatorGon¸calves, Cristhiane-
Autor(es): dc.creatorPiccirilo, Vinicius-
Autor(es): dc.creatorVaranis, Marcus-
Autor(es): dc.creatorde Oliveira, Clivaldo-
Autor(es): dc.creatorTusset, Aˆngelo M.-
Data de aceite: dc.date.accessioned2025-08-21T21:25:41Z-
Data de disponibilização: dc.date.available2025-08-21T21:25:41Z-
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.2025.06.004-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/304933-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/304933-
Descrição: dc.descriptionIn this paper, we examined the nonlinear dynamic behavior of the coupling interactions between three oscillators that describe the re- gions of the human heart responsible for electrical impulses. Specif- ically, we focused on the sinoatrial node, the atrioventricular node, and the Purkinje complex. The dynamics of cardiac behavior can be effectively represented by a nonlinear dynamic model, such as the Van der Pol Oscillator. However, we added an external force described by Bessel functions applied to oscillators with non-ideal characteristics to explore the system's behavior further. Consequently, we analyzed the range of frequencies that alter the dynamic behavior of the system. To diagnose the nonlinear dynamic behavior, we employed classic tools such as the Lyapunov exponent, which established the convergence of trajectories, and the bifurcation diagram that confirms the periodic windows of the system and the phase space. Our findings enabled us to reconstruct an approximation of the Electrocardiogram (ECG) for a set of parameters, owing to the applicability of the mathematical model analyzed in the field of biomedical engineering. ©2025 L&H Scientific Publishing, LLC. All rights reserved.-
Descrição: dc.descriptionDepartament of Electronics Engineering University Federal Technology of Paran´a - UTFPR, R. Doutor Washington Subtil Chueire, 330 - Jardim Carvalho, Paran´a-
Descrição: dc.descriptionPhysics Institute Federal University of Mato Grosso – UFMG, Av. Costa e Silva, Bairro Universit´ario, Mato Grosso do Sul-
Descrição: dc.descriptionDepartment of Mechanics Engineering State University of S˜ao Paulo – UNESP, Av. Eng. Lu´ıs Edmundo Carrijo Coube, 2085 - Nucleo Res. Pres. Geisel, S˜ao Paulo-
Descrição: dc.descriptionDepartament of Mechanical Engineering University Federal of Dourados - UFGD, R. Jo˜ao Rosa G´oes, Vila Progresso, Mato Grosso do Sul-
Descrição: dc.descriptionDepartment of Mechanics Engineering State University of S˜ao Paulo – UNESP, Av. Eng. Lu´ıs Edmundo Carrijo Coube, 2085 - Nucleo Res. Pres. Geisel, S˜ao Paulo-
Formato: dc.format135-146-
Idioma: dc.languageen-
Relação: dc.relationJournal of Vibration Testing and System Dynamics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectBiomedical engineering-
Palavras-chave: dc.subjectCardiac rhytms-
Palavras-chave: dc.subjectElectrocardiography-
Palavras-chave: dc.subjectNonlinear dynamics-
Palavras-chave: dc.subjectVan der Pol oscillator-
Título: dc.titleOn Nonlinear and Nonideal Dynamics of Three Coupled Van der Pol Oscillators Applied to Hemodynamics-
Tipo de arquivo: dc.typelivro digital-
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