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yes 355 0 PDNHLB+TimesNewRomanPSMT-02 Type 1C Custom yes yes yes 270 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2021-09-21 02:37:59 CEST RepresentationInformation: ComNonSci_a2021v102p105915.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2021-09-20 15:33:29 CEST Size: 1969274 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF, Tagged PDF PDFMetadata: Objects: 758 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: ViewerPreferences: HideToolbar: false HideMenubar: false HideWindowUI: false FitWindow: false CenterWindow: false DisplayDocTitle: true NonFullScreenPageMode: UseNone Direction: L2R ViewArea: CropBox ViewClip: CropBox PrintArea: CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Outlines: Item: Title: An algorithm to compute rotation intervals of circle maps Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@74ad1f1f Children: Item: Title: 1 Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6a1aab78 Item: Title: 2 A short survey on rotation theory and the computation of rotation numbers Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@462d5aee Children: Item: Title: 2.1 Algorithm 1: the numerical algorithm to compute the rotation interval that stems from the definition of rotation number Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@69b0fd6f Item: Title: 2.2 Algorithm 2: the Simó et al. algorithm to compute the rotation interval Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@757942a1 Item: Title: 3 An algorithm to compute rotation numbers of non-decreasing maps with a constant section Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4a87761d Children: Item: Title: 3.1 On the genericity of Proposition 3.1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@66d1af89 Item: Title: 3.2 Algorithm 3: A constant section based algorithm arising from Proposition 3.1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@8646db9 Item: Title: 4 Testing the Algorithm Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@37374a5e Children: Item: Title: 4.1 Computing Devil’s staircases Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4671e53b Item: Title: 4.2 Rotation intervals for standard-like maps Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2db7a79b Item: Title: 5 Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6950e31 Item: Title: Declaration of Competing Interest Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@b7dd107 Item: Title: CRediT authorship contribution statement Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@42eca56e Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@52f759d7 Info: Title: An algorithm to compute rotation 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XMP: 2021-06-19T15:44:44+05:30 Elsevier 2021-06-19T03:15:30-07:00 2021-06-19T03:15:30-07:00 Acrobat Distiller 10.0.0 (Windows) "Rotation number"; "Circle maps"; "Nondecreasing degree one lifting"; "Algorithm" application/pdf doi:10.1016/j.cnsns.2021.105915 Elsevier B.V. Communications in Nonlinear Science and Numerical Simulation, 102 (2021) 105915. doi:10.1016/j.cnsns.2021.105915 Rotation number Circle maps Nondecreasing degree one lifting Algorithm An algorithm to compute rotation intervals of circle maps Lluís Alsedà Salvador Borrós-Cullell uuid:fd8cfc10-4791-4a8b-8025-00abb91efa0c uuid:a70336ab-314b-426d-bd1c-19d944f12581 journal © 2021 The Authors. Published by Elsevier B.V. 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