3e86dd74de38a2d7e63fcd5e4557bfc7 expmat_a2022m12v40n4p1049-1083.pdf ca8c2b0b12880570fa614a20537afabb3843c6be expmat_a2022m12v40n4p1049-1083.pdf 026455b6e707198167e80e3a25dbad0f199bdf13440740aee268d94b677cc1e8 expmat_a2022m12v40n4p1049-1083.pdf Subject: Expositiones Mathematicae, 40 (2022) 1049-1083. doi:10.1016/j.exmath.2022.09.002 Creator: Elsevier Producer: pdfTeX CreationDate: Fri Dec 2 15:35:21 2022 CET ModDate: Fri Dec 2 15:35:21 2022 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 35 Encrypted: no Page size: 467.717 x 680.315 pts Page rot: 0 File size: 642179 bytes Optimized: yes PDF version: 1.7 PDF subtype: PDF/A-1b:2005 Title: ISO 19005 - Electronic document file format for long-term preservation (PDF/A) Abbreviation: PDF/A-1 Subtitle: Part 1: Use of PDF 1.4 Standard: ISO 19005-1 Conformance: Level B, Basic name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- MXAGEB+NimbusSanL-Regu Type 1 Custom yes yes yes 1356 0 JIIHQI+NimbusRomNo9L-Regu Type 1 Custom yes yes yes 1358 0 CHSHCL+NimbusRomNo9L-Medi Type 1 Custom yes yes yes 1359 0 PKBZCR+MTSYN Type 1 Builtin yes yes yes 1360 0 HNVTSG+NimbusRomNo9L-ReguItal Type 1 Custom yes yes yes 1361 0 DIMNIE+RMTMI Type 1 Builtin yes yes yes 1362 0 HRCLWH+vagrounded-bold Type 1 Builtin yes yes yes 1357 0 HWPFZY+CMSY10 Type 1 Builtin yes yes yes 1204 0 EOPCYI+MTEX Type 1 Builtin yes yes yes 1364 0 PNZHSK+CMTI10 Type 1 Builtin yes yes yes 1203 0 GNHOUD+MSBM10 Type 1 Builtin yes yes yes 1365 0 TMHVPV+MSAM10 Type 1 Builtin yes yes yes 1367 0 DZYJDG+CMSY8 Type 1 Builtin yes yes yes 1215 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2023-09-07 02:29:34 CEST RepresentationInformation: expmat_a2022m12v40n4p1049-1083.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2023-09-06 15:06:47 CEST Size: 642179 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 0 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Criteria on the existence of limit cycles in planar polynomial differential systems Children: Item: Title: Introduction and statement of the main results Item: Title: Preliminary results Item: Title: Proof of ?? Item: Title: A differential equation in polar coordinates Item: Title: Application of Hopf bifurcation Item: Title: Proof of Theorem 10 Item: Title: Declaration of Competing Interest Item: Title: Data availability Item: Title: Acknowledgments Item: Title: References Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: MXAGEB+NimbusSanL-Regu FontSubset: true FirstChar: 46 LastChar: 119 FontDescriptor: FontName: MXAGEB+NimbusSanL-Regu Flags: Symbolic FontBBox: -174, -285, 1001, 953 FontFile: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: HRCLWH+vagrounded-bold FontSubset: true FirstChar: 68 LastChar: 116 FontDescriptor: FontName: HRCLWH+vagrounded-bold Flags: Symbolic FontBBox: -151, -310, 1060, 1005 FontFile: true ToUnicode: true Font: BaseFont: JIIHQI+NimbusRomNo9L-Regu FontSubset: true FirstChar: 2 LastChar: 237 FontDescriptor: FontName: JIIHQI+NimbusRomNo9L-Regu Flags: Symbolic FontBBox: -168, -281, 1000, 924 FontFile: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: CHSHCL+NimbusRomNo9L-Medi FontSubset: true FirstChar: 44 LastChar: 121 FontDescriptor: FontName: CHSHCL+NimbusRomNo9L-Medi Flags: Symbolic FontBBox: -168, -341, 1000, 960 FontFile: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: PKBZCR+MTSYN FontSubset: true FirstChar: 0 LastChar: 112 FontDescriptor: FontName: PKBZCR+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile: true ToUnicode: true Font: BaseFont: HNVTSG+NimbusRomNo9L-ReguItal FontSubset: true FirstChar: 2 LastChar: 242 FontDescriptor: FontName: HNVTSG+NimbusRomNo9L-ReguItal Flags: Symbolic FontBBox: -169, -270, 1010, 924 FontFile: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: DIMNIE+RMTMI FontSubset: true FirstChar: 11 LastChar: 118 FontDescriptor: FontName: DIMNIE+RMTMI Flags: Symbolic FontBBox: 0, -213, 987, 680 FontFile: true ToUnicode: true Font: BaseFont: PNZHSK+CMTI10 FontSubset: true FirstChar: 1 LastChar: 10 FontDescriptor: FontName: PNZHSK+CMTI10 Flags: Symbolic FontBBox: -35, -250, 1124, 750 FontFile: true ToUnicode: true Font: BaseFont: HWPFZY+CMSY10 FontSubset: true FirstChar: 65 LastChar: 82 FontDescriptor: FontName: HWPFZY+CMSY10 Flags: Symbolic FontBBox: -29, -960, 1116, 775 FontFile: true ToUnicode: true Font: BaseFont: EOPCYI+MTEX FontSubset: true FirstChar: 0 LastChar: 113 FontDescriptor: FontName: EOPCYI+MTEX Flags: Symbolic FontBBox: -23, -2958, 1456, 766 FontFile: true ToUnicode: true Font: BaseFont: GNHOUD+MSBM10 FontSubset: true FirstChar: 78 LastChar: 82 FontDescriptor: FontName: GNHOUD+MSBM10 Flags: Symbolic FontBBox: -55, -420, 2343, 920 FontFile: true ToUnicode: true Font: BaseFont: TMHVPV+MSAM10 FontSubset: true FirstChar: 3 LastChar: 3 FontDescriptor: FontName: TMHVPV+MSAM10 Flags: Symbolic FontBBox: 8, -463, 1331, 1003 FontFile: true ToUnicode: true Font: BaseFont: DZYJDG+CMSY8 FontSubset: true FirstChar: 82 LastChar: 82 FontDescriptor: FontName: DZYJDG+CMSY8 Flags: Symbolic FontBBox: -30, -955, 1185, 779 FontFile: true ToUnicode: true XMP: application/pdf Criteria on the existence of limit cycles in planar polynomial differential systems Jaume Giné Maite Grau Jaume Llibre Polynomial differential system Limit cycle Differential equation on the cylinder Abel differential equation Expositiones Mathematicae, 40 (2022) 1049-1083. doi:10.1016/j.exmath.2022.09.002 journal Expositiones Mathematicae © 2022 The Author(s). Published by Elsevier GmbH. 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287, 143, 297, 150 Flags: Print ActionDest: 72 Annotation: Subtype: Link Rect: 232, 128, 237, 137 Flags: Print ActionDest: 7 Annotation: Subtype: Link Rect: 368, 128, 404, 137 Flags: Print ActionDest: 9 Annotation: Subtype: Link Rect: 407, 128, 412, 137 Flags: Print ActionDest: 9 Page: Label: 1074 Sequence: 26 Annotations: Annotation: Subtype: Link Rect: 320, 589, 330, 598 Flags: Print ActionDest: 50 Annotation: Subtype: Link Rect: 296, 501, 332, 510 Flags: Print ActionDest: 9 Annotation: Subtype: Link Rect: 336, 501, 341, 510 Flags: Print ActionDest: 9 Annotation: Subtype: Link Rect: 397, 501, 407, 510 Flags: Print ActionDest: 50 Annotation: Subtype: Link Rect: 231, 489, 241, 499 Flags: Print ActionDest: 50 Annotation: Subtype: Link Rect: 354, 464, 390, 473 Flags: Print ActionDest: 9 Annotation: Subtype: Link Rect: 394, 464, 399, 473 Flags: Print ActionDest: 9 Annotation: Subtype: Link Rect: 185, 440, 195, 451 Flags: Print ActionDest: 50 Annotation: Subtype: Link Rect: 244, 427, 254, 436 Flags: Print ActionDest: 52 Annotation: Subtype: Link Rect: 364, 300, 400, 309 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 403, 300, 408, 309 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 52, 273, 88, 282 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 92, 273, 97, 282 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 87, 261, 96, 272 Flags: Print ActionDest: 50 Annotation: Subtype: Link Rect: 320, 249, 356, 258 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 359, 249, 364, 258 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 245, 172, 281, 181 Flags: Print ActionDest: 5 Annotation: Subtype: Link Rect: 284, 172, 289, 181 Flags: Print ActionDest: 5 Page: Label: 1075 Sequence: 27 Annotations: Annotation: Subtype: Link Rect: 401, 543, 411, 552 Flags: Print ActionDest: 52 Annotation: Subtype: Link Rect: 303, 483, 313, 492 Flags: Print ActionDest: 52 Annotation: Subtype: Link Rect: 217, 474, 227, 480 Flags: Print 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225 Flags: Print ActionDest: 5 Page: Label: 1076 Sequence: 28 Annotations: Annotation: Subtype: Link Rect: 173, 342, 181, 350 Flags: Print ActionDest: 52 Annotation: Subtype: Link Rect: 298, 308, 317, 317 Flags: Print ActionDest: 56 Annotation: Subtype: Link Rect: 321, 308, 326, 317 Flags: Print ActionDest: 56 Annotation: Subtype: Link Rect: 331, 308, 336, 317 Flags: Print ActionDest: 65 Annotation: Subtype: Link Rect: 98, 97, 108, 106 Flags: Print ActionDest: 56 Page: Label: 1077 Sequence: 29 Annotations: Annotation: Subtype: Link Rect: 183, 342, 191, 350 Flags: Print ActionDest: 52 Annotation: Subtype: Link Rect: 124, 308, 134, 317 Flags: Print ActionDest: 56 Annotation: Subtype: Link Rect: 333, 168, 342, 177 Flags: Print ActionDest: 56 Annotation: Subtype: Link Rect: 332, 156, 337, 165 Flags: Print ActionDest: 7 Annotation: Subtype: Link Rect: 232, 112, 241, 121 Flags: Print ActionDest: 56 Page: Label: 1078 Sequence: 30 Annotations: Annotation: Subtype: Link Rect: 179, 342, 187, 350 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