{"@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/1360004232432727936.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1016/j.physd.2016.09.008"}},{"identifier":{"@type":"URI","@value":"https://api.elsevier.com/content/article/PII:S0167278916300380?httpAccept=text/plain"}},{"identifier":{"@type":"URI","@value":"https://api.elsevier.com/content/article/PII:S0167278916300380?httpAccept=text/xml"}}],"resourceType":"学術雑誌論文(journal article)","dc:title":[{"@value":"Complicated quasiperiodic oscillations and chaos from driven piecewise-constant circuit: Chenciner bubbles do not necessarily occur via simple phase-locking"}],"description":[{"notation":[{"@value":"Abstract   We analyze the complex quasiperiodic oscillations and chaos generated by two coupled piecewise-constant hysteresis oscillators driven by a rectangular wave force. Oscillations generate Arnol’d resonance webs wherein lower dimensional resonance tongues extend such as that of a web in numerous directions. We provide the fundamental tools for bifurcation analysis of nonautonomous piecewise-constant oscillators. To optimize the outstanding simplicity of piecewise-constant circuits, we formulate a generalized procedure for calculating the Lyapunov exponents in nonautonomous piecewise-constant dynamics. The Lyapunov exponents in these dynamics can be calculated with a precision approximately similar to that of maps. We observe two-parameter Lyapunov diagrams near the fundamental resonance region called Chenciner bubbles, wherein the oscillation frequencies of the two oscillators and the force are synchronized with a ratio of 1:1:1. Inevitably, the hysteresis considerably distorts the Chenciner bubbles. This result suggests that the Chenciner bubbles do not necessarily occur due to simple phase-locking of two-dimensional tori that can be explained by homeomorphism on the circle. Furthermore, we observe the Farey sequence in the experimental measurements."}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380004232432728064","@type":"Researcher","foaf:name":[{"@value":"Tri Quoc Truong"}]},{"@id":"https://cir.nii.ac.jp/crid/1380004232432727936","@type":"Researcher","foaf:name":[{"@value":"Tadashi Tsubone"}]},{"@id":"https://cir.nii.ac.jp/crid/1380004232432728066","@type":"Researcher","foaf:name":[{"@value":"Munehisa Sekikawa"}]},{"@id":"https://cir.nii.ac.jp/crid/1380004232432728065","@type":"Researcher","foaf:name":[{"@value":"Naohiko Inaba"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"01672789"}],"prism:publicationName":[{"@value":"Physica D: Nonlinear Phenomena"}],"dc:publisher":[{"@value":"Elsevier BV"}],"prism:publicationDate":"2017-02","prism:volume":"341","prism:startingPage":"1","prism:endingPage":"9"},"reviewed":"false","dc:rights":["https://www.elsevier.com/tdm/userlicense/1.0/"],"url":[{"@id":"https://api.elsevier.com/content/article/PII:S0167278916300380?httpAccept=text/plain"},{"@id":"https://api.elsevier.com/content/article/PII:S0167278916300380?httpAccept=text/xml"}],"createdAt":"2016-10-07","modifiedAt":"2020-09-26","project":[{"@id":"https://cir.nii.ac.jp/crid/1040282256888938112","@type":"Project","projectIdentifier":[{"@type":"KAKEN","@value":"16K06430"},{"@type":"JGN","@value":"JP16K06430"},{"@type":"URI","@value":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K06430/"}],"notation":[{"@language":"ja","@value":"準周期振動と部分同期現象について"},{"@language":"en","@value":"quasiperioidic oscillations and its partial synchronizations"}]}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1050022708919983488","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Bifurcation scenarios for a 3D torus and torus-doubling"}]},{"@id":"https://cir.nii.ac.jp/crid/1360004236165877120","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"ALGORITHMS FOR OBTAINING A SADDLE TORUS BETWEEN TWO ATTRACTORS"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011144931326208","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Quasi-periodic bifurcations and “amplitude death” in low-dimensional ensemble of van der Pol oscillators"}]},{"@id":"https://cir.nii.ac.jp/crid/1360011145714248704","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Bifurcational mechanisms of synchronization of a resonant limit cycle on a two-dimensional torus"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292619458605312","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"On the nature of turbulence"}]},{"@id":"https://cir.nii.ac.jp/crid/1360567182386133760","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["references"],"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":["references"],"jpcoar:relatedTitle":[{"@value":"Three-dimensional tori and Arnold tongues"}]},{"@id":"https://cir.nii.ac.jp/crid/1360574095875973504","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. 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