Periodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorFederal University of Technology - Paraná (UTFPR)-
Autor(es): dc.creatorMessias, Marcelo-
Autor(es): dc.creatorReinol, Alisson C.-
Data de aceite: dc.date.accessioned2025-08-21T15:15:38Z-
Data de disponibilização: dc.date.available2025-08-21T15:15:38Z-
Data de envio: dc.date.issued2023-03-02-
Data de envio: dc.date.issued2023-03-02-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s10883-022-09610-4-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/242154-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/242154-
Descrição: dc.descriptionIn 2010, Muthuswamy and Chua presented an autonomous chaotic circuit using only three elements in series: an inductor, a capacitor and a memristor. This circuit is known as the simplest chaotic circuit and it is determined by a three-dimensional differential system, which depends on the real parameters C, L, α and β. Although the Muthuswamy-Chua system is simpler in formulation than other chaotic systems, its dynamics has proven to be complicated. Here we analytically prove the existence of periodic orbits in this system for suitable choice of the parameter values α and β leading to interesting phenomena as multistability and formation of chaotic attractors. In order to do that, we consider the existence of first integrals, invariant algebraic surfaces and a result from averaging theory. In addition, we relate the obtained results to the memristance and to the physical characteristics of the memristor.-
Descrição: dc.descriptionDepartment of Mathematics and Computer Science São Paulo State University (UNESP), SP-
Descrição: dc.descriptionDepartment of Mathematics Federal University of Technology - Paraná (UTFPR), PR-
Descrição: dc.descriptionDepartment of Mathematics and Computer Science São Paulo State University (UNESP), SP-
Idioma: dc.languageen-
Relação: dc.relationJournal of Dynamical and Control Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChaotic attractor-
Palavras-chave: dc.subjectFirst integral-
Palavras-chave: dc.subjectMemristor-based circuit-
Palavras-chave: dc.subjectMultistability-
Palavras-chave: dc.subjectPeriodic orbit-
Título: dc.titlePeriodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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