Topological Chaos and Periodic Braiding of Almost-Cyclic Sets

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dc.contributorVirginia Techen
dc.contributor.authorStremler, Mark A.en
dc.contributor.authorRoss, Shane D.en
dc.contributor.authorGrover, Piyushen
dc.contributor.authorKumar, Pankajen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2013-12-10en
dc.date.accessioned2013-12-10T17:31:20Zen
dc.date.available2013-12-10T17:31:20Zen
dc.date.issued2011-03-18en
dc.description.abstractIn certain (2 + 1)-dimensional dynamical systems, the braiding of periodic orbits provides a framework for analyzing chaos in the system through application of the Thurston-Nielsen classification theorem. Periodic orbits generated by the dynamics can behave as physical obstructions that "stir" the surrounding domain and serve as the basis for this topological analysis. We provide evidence that, even in the absence of periodic orbits, almost-cyclic regions identified using a transfer operator approach can reveal an underlying structure that enables topological analysis of chaos in the domain.en
dc.description.sponsorshipNational Science Foundation DMS-0701126, DEB-0919088en
dc.format.extentPhysical Review Letters 106(11): (Mar 18, 2011)en
dc.format.extent114101en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevLett.106.114101en
dc.identifier.issn0031-9007en
dc.identifier.urihttp://hdl.handle.net/10919/24513en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevLett.106.114101en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMechanicsen
dc.subjectAdvectionen
dc.subjectDynamicsen
dc.subjectFlowsen
dc.subjectPhysicsen
dc.titleTopological Chaos and Periodic Braiding of Almost-Cyclic Setsen
dc.title.serialPhysical Review Lettersen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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