{"@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/1361418519284846464.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1142/s0218127494000423"}},{"identifier":{"@type":"URI","@value":"https://www.worldscientific.com/doi/pdf/10.1142/S0218127494000423"}}],"dc:title":[{"@value":"BIFURCATIONS AND TRANSITION TO CHAOS THROUGH THREE-DIMENSIONAL TORI"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p> The breakdown of three-dimensional tori T<jats:sup>3</jats:sup> and the transition to chaos are studied numerically in a periodically forced system of two coupled logistic maps. We have shown that for small perturbations the breakdown of T<jats:sup>3</jats:sup> possesses the same features as in the T<jats:sup>2</jats:sup> case described by the theorem of Afraimovich and Shil’nikov. Remarkably, some indications for a chaotic motion on T<jats:sup>3</jats:sup> are found. </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1381418519284846464","@type":"Researcher","foaf:name":[{"@value":"V.S. ANISHCHENKO"}],"jpcoar:affiliationName":[{"@value":"Saratov State University, 410071, Saratov, Russia"}]},{"@id":"https://cir.nii.ac.jp/crid/1381418519284846466","@type":"Researcher","foaf:name":[{"@value":"M.A. SAFONOVA"}],"jpcoar:affiliationName":[{"@value":"Saratov State University, 410071, Saratov, Russia"}]},{"@id":"https://cir.nii.ac.jp/crid/1381418519284846465","@type":"Researcher","foaf:name":[{"@value":"U. FEUDEL"}],"jpcoar:affiliationName":[{"@value":"Arbeitsgruppe Nichtlineare Dynamik der Max-Planck-Gesellschaft an der Universität Potsdam, Am Neuen Palais, Geb. 19, PF 601553, D-14415 Potsdam, Germany"}]},{"@id":"https://cir.nii.ac.jp/crid/1381418519284846467","@type":"Researcher","foaf:name":[{"@value":"J. KURTHS"}],"jpcoar:affiliationName":[{"@value":"Arbeitsgruppe Nichtlineare Dynamik der Max-Planck-Gesellschaft an der Universität Potsdam, Am Neuen Palais, Geb. 19, PF 601553, D-14415 Potsdam, Germany"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"02181274"},{"@type":"EISSN","@value":"17936551"}],"prism:publicationName":[{"@value":"International Journal of Bifurcation and Chaos"}],"dc:publisher":[{"@value":"World Scientific Pub Co Pte Lt"}],"prism:publicationDate":"1994-06","prism:volume":"04","prism:number":"03","prism:startingPage":"595","prism:endingPage":"607"},"reviewed":"false","url":[{"@id":"https://www.worldscientific.com/doi/pdf/10.1142/S0218127494000423"}],"createdAt":"2004-11-16","modifiedAt":"2019-08-06","relatedProduct":[{"@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/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":"10.1142/s0218127494000423"},{"@type":"CROSSREF","@value":"10.1016/j.physd.2015.08.008_references_DOI_7mWwLZkPCkR2fx9mUEgKLdqxE7k"},{"@type":"CROSSREF","@value":"10.1016/j.physd.2016.09.008_references_DOI_7mWwLZkPCkR2fx9mUEgKLdqxE7k"},{"@type":"CROSSREF","@value":"10.1063/1.4869303_references_DOI_7mWwLZkPCkR2fx9mUEgKLdqxE7k"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptx058_references_DOI_7mWwLZkPCkR2fx9mUEgKLdqxE7k"}]}