Analysis and chaos control of a four-dimensional magnetohydrodynamic model with hyperchaotic solutions

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal Technological University of Paraná-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorLublin University of Technology-
Autor(es): dc.creatorDaum, Hilson H.-
Autor(es): dc.creatorTusset, Angelo M.-
Autor(es): dc.creatorRibeiro, Mauricio A.-
Autor(es): dc.creatorLitak, Grzegorz-
Autor(es): dc.creatorBueno, Atila M.-
Autor(es): dc.creatorBalthazar, Jose M.-
Data de aceite: dc.date.accessioned2025-08-21T19:38:05Z-
Data de disponibilização: dc.date.available2025-08-21T19:38:05Z-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2022-05-01-
Data de envio: dc.date.issued2020-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1140/epjs/s11734-021-00236-4-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/233324-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/233324-
Descrição: dc.descriptionIn this paper, the dynamical behavior of a four-dimensional magnetohydrodynamic model, consisting of a generalized Lorenz model, is investigated. A nonlinear dynamical analysis is performed using Lyapunov exponents and bifurcation diagrams, focusing on the chaotic and hyperchaotic behaviors associated with the bifurcation parameter (k1) that couples the equations of fluid displacement to the induced magnetic field. The State-dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) techniques are considered to design the state feedback control system that stabilizes the system to a previously defined orbit. The performance of the control systems are compared showing that the OLFC presents better results.-
Descrição: dc.descriptionFederal Technological University of Paraná-
Descrição: dc.descriptionSchool of Engineering São Paulo State University-
Descrição: dc.descriptionFaculty of Mechanical Engineering Lublin University of Technology-
Descrição: dc.descriptionInstitute of Science and Technology São Paulo State University-
Descrição: dc.descriptionSchool of Engineering São Paulo State University-
Descrição: dc.descriptionInstitute of Science and Technology São Paulo State University-
Idioma: dc.languageen-
Relação: dc.relationEuropean Physical Journal: Special Topics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectNonlinear dynamics-
Palavras-chave: dc.subjectOLFC control-
Palavras-chave: dc.subjectSDRE control-
Título: dc.titleAnalysis and chaos control of a four-dimensional magnetohydrodynamic model with hyperchaotic solutions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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