2e827a1e7f41ef3884c311fe3c3218b1 joudifequ_a2023m11v373p152-175.pdf 63bb39bc93163509e796e69cad2c091137b1aaf8 joudifequ_a2023m11v373p152-175.pdf 2169d70281fe2fe1e9d94bbc7e0df5c46d54dcd21d3d04dfc7bafede6d66bbdd joudifequ_a2023m11v373p152-175.pdf Title: Probability of existence of limit cycles for a family of planar systems Subject: Journal of Differential Equations, 373 (2023) 152–175. 10.1016/j.jde.2023.07.015 Author: B. Coll Creator: Elsevier Producer: Acrobat Distiller 23.0 (Windows) CreationDate: Mon Sep 11 10:55:45 2023 CEST ModDate: Mon Sep 11 10:55:45 2023 CEST Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 24 Encrypted: no Page size: 467.717 x 680.315 pts Page rot: 0 File size: 459747 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- KAOLBO+Helvetica Type 1C WinAnsi yes yes no 926 0 KAOLBP+VAGRoundedStd-Bold Type 1C Custom yes yes yes 927 0 KAOLCA+Times-Roman Type 1C Custom yes yes no 928 0 KAOLCB+MTMI Type 1C Custom yes yes yes 929 0 KAOLCC+MTSYN Type 1C Custom yes yes yes 930 0 KAOLCD+Times-Italic Type 1C Custom yes yes no 931 0 KAOLDE+Times-Bold Type 1C WinAnsi yes yes no 932 0 KAOLEE+Symbol Type 1C Custom yes yes yes 933 0 KAOLFG+MTEX Type 1C Custom yes yes no 357 0 KAOLFF+MT2HRBT Type 1C WinAnsi yes yes no 356 0 KAOLJF+esint10 Type 1C Custom yes yes yes 365 0 KAOLLG+wasy10 Type 1C Custom yes yes no 370 0 KAOMFD+CMSY10 Type 1C Custom yes yes yes 371 0 KAONCP+CMSY8 Type 1C Custom yes yes yes 373 0 KAOOHI+MT2HRBS Type 1C WinAnsi yes yes no 374 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2024-03-05 02:32:43 CET RepresentationInformation: joudifequ_a2023m11v373p152-175.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2024-03-04 16:47:52 CET Size: 459747 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 981 FreeObjects: 338 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Probability of existence of limit cycles for a family of planar systems Destination: yjdeq12187.title.0:1 Children: Item: Title: 1 Introduction and main results Destination: yjdeq12187.section.1:2 Item: Title: 2 Deterministic systems Destination: yjdeq12187.section.2:11 Children: Item: Title: 2.1 Results on system (4) and proof of Theorem 1.1 Destination: yjdeq12187.subsection.1:12 Item: Title: 2.2 Results on system (3) and proof of Theorems 1.2 and 1.3 Destination: yjdeq12187.subsection.2:18 Item: Title: 3 Random systems Destination: yjdeq12187.section.3:31 Children: Item: Title: 3.1 Some comments about Monte Carlo simulation Destination: yjdeq12187.subsection.1:34 Item: Title: Data availability Destination: yjdeq12187.section.3:36 Item: Title: Acknowledgments Destination: yjdeq12187.section.3:37 Item: Title: References Destination: yjdeq12187.section.3:38 Info: Title: Probability of existence of limit cycles for a family of planar systems Author: B. Coll Subject: Journal of Differential Equations, 373 (2023) 152 175. 10.1016/j.jde.2023.07.015 Creator: Elsevier Producer: Acrobat Distiller 23.0 (Windows) CreationDate: Mon Sep 11 10:55:45 CEST 2023 ModDate: Mon Sep 11 10:55:45 CEST 2023 ID: 0x7d32fb320121973684935042278f1bb4, 0xf57ffa95fd5b1f499f69a986fc9587eb Filters: FilterPipeline: FlateDecode FilterPipeline: CCITTFaxDecode Images: Image: NisoImageMetadata: FormatName: image/tiff CompressionScheme: CCITT Group 4 ImageWidth: 786 ImageHeight: 563 BitsPerSample: 1 BitsPerSampleUnit: integer ImageMask: true Image: NisoImageMetadata: FormatName: image/png ImageWidth: 1568 ImageHeight: 531 BitsPerSample: 8 BitsPerSampleUnit: integer Filter: FlateDecode Fonts: Type1: Font: BaseFont: KAOLCA+Times-Roman FontSubset: true FirstChar: 30 LastChar: 243 FontDescriptor: FontName: KAOLCA+Times-Roman Flags: Serif, Nonsymbolic FontBBox: -168, -218, 1000, 898 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KAOLCB+MTMI FontSubset: true FirstChar: 2 LastChar: 122 FontDescriptor: FontName: KAOLCB+MTMI Flags: Serif, Symbolic, Italic FontBBox: 0, -213, 987, 680 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAOLCC+MTSYN FontSubset: true FirstChar: 2 LastChar: 177 FontDescriptor: FontName: KAOLCC+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAOLCD+Times-Italic FontSubset: true FirstChar: 30 LastChar: 242 FontDescriptor: FontName: KAOLCD+Times-Italic Flags: Serif, Nonsymbolic, Italic FontBBox: -169, -217, 1010, 883 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: KAOLDE+Times-Bold FontSubset: true FirstChar: 46 LastChar: 121 FontDescriptor: FontName: KAOLDE+Times-Bold Flags: Serif, Nonsymbolic, ForceBold FontBBox: -168, -218, 1000, 935 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: KAOLFF+MT2HRBT FontSubset: true FirstChar: 82 LastChar: 83 FontDescriptor: FontName: KAOLFF+MT2HRBT Flags: Serif, Nonsymbolic FontBBox: -75, -287, 1121, 777 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: KAOLEE+Symbol FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: KAOLEE+Symbol Flags: Symbolic FontBBox: -180, -293, 1090, 1010 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAOLFG+MTEX FontSubset: true FirstChar: 2 LastChar: 15 FontDescriptor: FontName: KAOLFG+MTEX Flags: Symbolic FontBBox: 11, -2354, 1365, 761 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: KAOLJF+esint10 FontSubset: true FirstChar: 24 LastChar: 180 FontDescriptor: FontName: KAOLJF+esint10 Flags: Serif, Symbolic FontBBox: 54, -2223, 2026, 1 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAOLLG+wasy10 FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: KAOLLG+wasy10 Flags: Symbolic FontBBox: -23, -1667, 1720, 881 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: KAOMFD+CMSY10 FontSubset: true FirstChar: 67 LastChar: 67 FontDescriptor: FontName: KAOMFD+CMSY10 Flags: Symbolic, Italic FontBBox: -29, -960, 1116, 775 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAONCP+CMSY8 FontSubset: true FirstChar: 67 LastChar: 67 FontDescriptor: FontName: KAONCP+CMSY8 Flags: Symbolic, Italic FontBBox: -30, -955, 1185, 779 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: KAOOHI+MT2HRBS FontSubset: true FirstChar: 82 LastChar: 82 FontDescriptor: FontName: KAOOHI+MT2HRBS Flags: Serif, Nonsymbolic FontBBox: -75, -264, 1236, 826 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: KAOLBO+Helvetica FontSubset: true FirstChar: 32 LastChar: 119 FontDescriptor: FontName: KAOLBO+Helvetica Flags: Nonsymbolic FontBBox: -166, -225, 1000, 931 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: KAOLBP+VAGRoundedStd-Bold FontSubset: true FirstChar: 68 LastChar: 116 FontDescriptor: FontName: KAOLBP+VAGRoundedStd-Bold Flags: Symbolic, ForceBold FontBBox: -151, -310, 1060, 939 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true XMP: application/pdf doi:10.1016/j.jde.2023.07.015 Probability of existence of limit cycles for a family of planar systems B. Coll A. Gasull R. Prohens Ordinary differential equations with random coefficients Limit cycle Abelian integral Degenetare Andronov-Hopf bifurcation Journal of Differential Equations, 373 (2023) 152–175. 10.1016/j.jde.2023.07.015 Elsevier Inc. journal Journal of Differential Equations © 2023 The Author(s). Published by Elsevier Inc. 0022-0396 373 152-175 152 175 10.1016/j.jde.2023.07.015 https://doi.org/10.1016/j.jde.2023.07.015 2023-11-15 15 November 2023 2010-04-23 true 10.1016/j.jde.2023.07.015 elsevier.com sciencedirect.com VoR 10.1016/j.jde.2023.07.015 noindex 2010-04-23 true elsevier.com sciencedirect.com Elsevier 2023-09-11T11:55:45+03:00 2023-09-11T11:55:45+03:00 2023-09-11T11:55:45+03:00 True Acrobat Distiller 23.0 (Windows) uuid:8eae025c-4626-47cb-9796-19b4208a7b73 uuid:2d28e741-1c1f-43ab-bfe5-a7ddd9252c2d http://creativecommons.org/licenses/by-nc-nd/4.0/ Pages: Page: Label: 152 Annotations: Annotation: Subtype: Link Rect: 114, 615, 143, 643 Annotation: Subtype: Link Rect: 222, 637, 300, 644 Annotation: Subtype: Link Rect: 144, 590, 316, 600 Annotation: Subtype: Link Rect: 341, 579, 433, 589 Annotation: Subtype: Link Rect: 187, 479, 191, 492 Destination: 878 Annotation: Subtype: Link Rect: 249, 479, 253, 492 Destination: 878 Annotation: Subtype: Link Rect: 256, 479, 260, 492 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