Stability analysis for the Chua circuit with cubic polynomial nonlinearity based on root locus technique and describing function method

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal University of Ouro Preto - UFOP/EM/DEMEC-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorRocha, Ronilson-
Autor(es): dc.creatorMedrano-T, Rene Orlando [UNESP]-
Data de aceite: dc.date.accessioned2022-02-22T00:44:12Z-
Data de disponibilização: dc.date.available2022-02-22T00:44:12Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2020-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11071-020-06039-x-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/205388-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/205388-
Descrição: dc.descriptionThis work investigates the dynamics of the Chua circuit with cubic polynomial nonlinearity using methods for stability analysis based on linearization and frequency response. Root locus technique maps eigenvalues of the linearized system in order to analyze the local stability, which allows to verify dynamic features, motion patterns, and attractor topologies. The method based on describing functions allows analyze effects of the cubic nonlinearity in the system, as well as predict equilibrium and fixed points, periodic and chaotic orbits, limit cycles, multistability and hidden dynamics, unstable states, and bifurcations. The stability of the Chua circuit with cubic polynomial nonlinearity is analyzed using both approaches in order to identify and map dynamics in parameter spaces. Numerical investigations based on computational simulations corroborate the theoretical results obtained using this stability analysis. This theoretical analysis and the numerical investigations present interesting insights about the dynamics of the Chua circuit with cubic polynomial nonlinearity and provides a design tool for electro-electronic implementations.-
Descrição: dc.descriptionFederal University of Ouro Preto - UFOP/EM/DEMEC Campus Morro do Cruzeiro-
Descrição: dc.descriptionFederal University of São Paulo - UNIFESP/DF Campus Diadema-
Descrição: dc.descriptionSão Paulo State University - UNESP/IGCE/DF Campus Rio Claro-
Descrição: dc.descriptionSão Paulo State University - UNESP/IGCE/DF Campus Rio Claro-
Formato: dc.format2859-2874-
Idioma: dc.languageen-
Relação: dc.relationNonlinear Dynamics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChua circuit-
Palavras-chave: dc.subjectCubic nonlinearity-
Palavras-chave: dc.subjectDescribing functions-
Palavras-chave: dc.subjectHidden oscillations-
Palavras-chave: dc.subjectRoot locus-
Palavras-chave: dc.subjectStability analysis-
Título: dc.titleStability analysis for the Chua circuit with cubic polynomial nonlinearity based on root locus technique and describing function method-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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