{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1362262943966220160.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1016/j.physd.2012.03.011"}},{"identifier":{"@type":"URI","@value":"https://api.elsevier.com/content/article/PII:S0167278912000954?httpAccept=text/xml"}},{"identifier":{"@type":"URI","@value":"https://api.elsevier.com/content/article/PII:S0167278912000954?httpAccept=text/plain"}}],"dc:title":[{"@value":"Novel bifurcation structure generated in piecewise-linear three- resonant circuit and its Lyapunov analysis"}],"description":[{"notation":[{"@value":"Abstract   We analyse a piecewise-linear oscillator that consists of a three-   L  C    resonant circuit with a hysteresis element. Three sets of two-dimensional linear equations, including a hysteresis function, represent the governing equations of the circuit, and all the Lyapunov exponents are calculated in a remarkably simple manner based on derived explicit solutions. Various dynamical phenomena such as two-torus, three-torus, and hyperchaos with four positive Lyapunov exponents are observed by Lyapunov analysis. We obtained a detailed bifurcation diagram in which novel bifurcation structure which we call a “two-torus Arnold tongue” is observed where two-torus generating regions exist in a three-torus generating region as if periodic states exist in a two-torus generating region."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1382262943966220289","@type":"Researcher","foaf:name":[{"@value":"Munehisa Sekikawa"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943966220290","@type":"Researcher","foaf:name":[{"@value":"Naohiko Inaba"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943966220288","@type":"Researcher","foaf:name":[{"@value":"Takashi Tsubouchi"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262943966220160","@type":"Researcher","foaf:name":[{"@value":"Kazuyuki Aihara"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"01672789"},{"@type":"PISSN","@value":"https://id.crossref.org/issn/01672789"}],"prism:publicationName":[{"@value":"Physica D: Nonlinear Phenomena"}],"dc:publisher":[{"@value":"Elsevier BV"}],"prism:publicationDate":"2012-07","prism:volume":"241","prism:number":"14","prism:startingPage":"1169","prism:endingPage":"1178"},"reviewed":"false","dc:rights":["https://www.elsevier.com/tdm/userlicense/1.0/"],"url":[{"@id":"https://api.elsevier.com/content/article/PII:S0167278912000954?httpAccept=text/xml"},{"@id":"https://api.elsevier.com/content/article/PII:S0167278912000954?httpAccept=text/plain"}],"createdAt":"2012-04-13","modifiedAt":"2023-06-22","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050022708919983488","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Bifurcation scenarios for a 3D torus and torus-doubling"}]},{"@id":"https://cir.nii.ac.jp/crid/1360004232432727936","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567182386133760","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Numerical and experimental observation of Arnol’d resonance webs in an electrical circuit"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567183864016384","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Three-dimensional tori and Arnold tongues"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205345957760","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Numerical sensitivity in the analysis of a high-dimensional oscillator"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282680322196224","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Bifurcation structure of an invariant three-torus and its computational sensitivity generated in a three-coupled delayed logistic map"}]},{"@id":"https://cir.nii.ac.jp/crid/2050025942137090688","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Three-torus-causing mechanism in a third-order forced oscillator"}]},{"@id":"https://cir.nii.ac.jp/crid/2050307417115024128","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Arnol'd resonance webs and Chenciner bubbles from a three-dimensional piecewise-constant hysteresis oscillator"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1016/j.physd.2012.03.011"},{"@type":"OPENAIRE","@value":"doi_dedup___::fa3a62ecc166597f05bb7e10ec192f52"},{"@type":"CROSSREF","@value":"10.1016/j.physd.2015.08.008_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1016/j.physd.2016.09.008_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1587/nolta.6.433_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1063/1.4869303_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptt070_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptt122_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptx058_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"},{"@type":"CROSSREF","@value":"10.1587/nolta.3.508_references_DOI_JnKNdSC3d4eQTxCkqBeVEeHxKKE"}]}