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Marín Creator: Elsevier Producer: Acrobat Distiller 24.0 (Windows) CreationDate: Thu May 30 13:49:15 2024 CEST ModDate: Thu May 30 13:49:15 2024 CEST Custom Metadata: yes Metadata Stream: yes Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 65 Encrypted: no Page size: 467.717 x 680.315 pts Page rot: 0 File size: 874134 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- AAEAAP+Helvetica Type 1C WinAnsi yes yes no 1974 0 AAEADH+MT2HRBT Type 1C WinAnsi yes yes no 1996 0 AAEAEI+Symbol Type 1C Custom yes yes yes 1997 0 AAEABA+VAGRoundedStd-Bold Type 1C Custom yes yes yes 1977 0 AAEABB+Times-Roman Type 1C Custom yes yes no 1978 0 AAEABC+ZapfDingbats Type 1C Custom yes yes yes 1979 0 AAEABD+MTMI Type 1C Custom yes yes yes 1980 0 AAEACE+MTSYN Type 1C Custom yes yes yes 1998 0 AAEACF+Times-Italic Type 1C Custom yes yes no 1999 0 AAEACG+Times-Bold Type 1C MacRoman yes yes no 2000 0 AAEADG+rsfs10 Type 1C Custom yes yes yes 2007 0 AAEAFI+CMSY10 Type 1C Custom yes yes yes 841 0 AAEAHJ+MTEX Type 1C Custom yes yes yes 848 0 AAEBHE+MSAM10 Type 1C Custom yes yes no 852 0 AAEBKE+MT2HRBS Type 1C WinAnsi yes yes no 855 0 AAEBND+MTMUB Type 1C Custom yes yes no 860 0 AAEBNE+MTMIB Type 1C Custom yes yes yes 857 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2024-06-04 02:35:09 CEST RepresentationInformation: joudifequ_a2024m9v404p43-107.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2024-06-03 14:10:12 CEST Size: 874134 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 2044 FreeObjects: 734 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: Coefficient properties Destination: yjdeq12642.title.0:1 Children: Item: Title: 1 Introduction and statements of main results Destination: yjdeq12642.section.1:2 Item: Title: 2 Proof of Theorem A Destination: yjdeq12642.section.2:8 Item: Title: 3 Poles and residues of the coefficients Destination: yjdeq12642.section.3:21 Item: Title: 4 First monomials in the asymptotic expansions Destination: yjdeq12642.section.4:28 Item: Title: Data availability Destination: yjdeq12642.section.4:33 Item: Title: Appendix A Derivatives of regular transition map and transition time Destination: yjdeq12642.appendix.1:34 Item: Title: Appendix B An incomplete Mellin transform Destination: yjdeq12642.appendix.2:38 Item: Title: Appendix C Asymptotic expansions at arbitrary order Destination: yjdeq12642.appendix.3:44 Item: Title: References Destination: yjdeq12642.section.4:51 Info: Title: Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: Coefficient properties Author: D. 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Marín J. Villadelprat Dulac map Dulac time Asymptotic expansion Incomplete Mellin transform Journal of Differential Equations, 404 (2024) 43–107. 10.1016/j.jde.2024.05.037 Elsevier Inc. journal Journal of Differential Equations © 2024 The Author(s). Published by Elsevier Inc. 0022-0396 404 43-107 43 107 10.1016/j.jde.2024.05.037 https://doi.org/10.1016/j.jde.2024.05.037 2024-09-25 2010-04-23 true 10.1016/j.jde.2024.05.037 elsevier.com sciencedirect.com VoR 10.1016/j.jde.2024.05.037 noindex 2010-04-23 true elsevier.com sciencedirect.com Elsevier 2024-05-30T14:49:15+03:00 2024-05-30T14:49:15+03:00 2024-05-30T14:49:15+03:00 True Acrobat Distiller 24.0 (Windows) uuid:af93b2dd-221c-4d17-9d24-dc917551a39c uuid:2b1aa23f-47ce-419a-8e61-8764cc7b71ce http://creativecommons.org/licenses/by-nc/4.0/ Pages: Page: Label: 43 Annotations: Annotation: Subtype: Link Rect: 114, 615, 143, 643 Annotation: Subtype: Link Rect: 222, 637, 300, 644 Annotation: Subtype: Link Rect: 146, 590, 314, 600 Annotation: Subtype: Link Rect: 341, 579, 433, 589 Annotation: Subtype: Link Rect: 273, 491, 281, 509 Destination: 1889 Annotation: Subtype: Link Rect: 215, 461, 219, 474 Destination: 1889 Annotation: Subtype: Link Rect: 221, 461, 226, 474 Destination: 1889 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