Quasiperiodic shrimp-shaped domains in intrinsically coupled oscillators

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Autor(es): dc.contributorFederal University of São João del-Rei-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorState University of Ponta Grossa-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorde Souza, Silvio L. T.-
Autor(es): dc.creatorBatista, Antonio M.-
Autor(es): dc.creatorMedrano-T, Rene O.-
Autor(es): dc.creatorCaldas, Iberê L.-
Data de aceite: dc.date.accessioned2025-08-21T22:16:36Z-
Data de disponibilização: dc.date.available2025-08-21T22:16:36Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1063/5.0234904-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/299962-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/299962-
Descrição: dc.descriptionWe report remarkable pattern formation of quasiperiodic domains in the two-dimensional parameter space of an intrinsically coupled system, comprising a rotor and a Duffing oscillator. In our analysis, we characterize the system using Lyapunov exponents, identifying self-similar islands composed of intricate regions of chaotic, quasiperiodic, and periodic behaviors. These islands form structures with an accumulation arrangement, denominated here as metamorphic tongues. Inside the islands, we observe Arnold tongues corresponding to periodic solutions. In addition, we surprisingly identify quasiperiodic shrimp-shaped domains that have been typically observed for periodic solutions. Similar features to the periodic case, such as period-doubling and secondary-near shrimp with three times the period, are observed in quasiperiodic shrimp as torus-doubling and torus-tripling.-
Descrição: dc.descriptionFederal University of São João del-Rei Campus Centro-Oeste, MG-
Descrição: dc.descriptionInstitute of Physics University of São Paulo, SP-
Descrição: dc.descriptionGraduate Program in Science State University of Ponta Grossa, PR-
Descrição: dc.descriptionDepartment of Mathematics and Statistics State University of Ponta Grossa, PR-
Descrição: dc.descriptionDepartment of Physics Federal University of São Paulo UNIFESPF Campus Diadema, SP-
Descrição: dc.descriptionDepartment of Physics São Paulo State University UNESP/IGCE Campus Rio Claro, SP-
Descrição: dc.descriptionDepartment of Physics São Paulo State University UNESP/IGCE Campus Rio Claro, SP-
Idioma: dc.languageen-
Relação: dc.relationChaos-
???dc.source???: dc.sourceScopus-
Título: dc.titleQuasiperiodic shrimp-shaped domains in intrinsically coupled oscillators-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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