b8834fc6caa04cf9f919854926c60582 joudifequ_a2021m8v293p48-69.pdf 3871335d3b43474757bbe7db613394296e3bd596 joudifequ_a2021m8v293p48-69.pdf e8fb0740ae80a346820c1157d0928901fcf8f89ed814468cd7b5f133012e594a joudifequ_a2021m8v293p48-69.pdf Title: Persistence of periodic traveling waves and Abelian integrals Subject: Journal of Differential Equations, 293 (2021) 48–69. 10.1016/j.jde.2021.05.033 Author: Armengol Gasull Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Thu May 27 12:03:28 2021 CEST ModDate: Fri Apr 29 16:49:07 2022 CEST Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 22 Encrypted: no Page size: 467.717 x 680.315 pts Page rot: 0 File size: 295748 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- LPKKBE+Helvetica Type 1C WinAnsi yes yes no 757 0 LPKKBF+VAGRoundedStd-Bold Type 1C Custom yes yes yes 760 0 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DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Persistence of periodic traveling waves and Abelian integrals Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2db7a79b Children: Item: Title: 1 Introduction Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6950e31 Item: Title: 2 Definitions and main results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@b7dd107 Item: Title: 3 Some particular Abelian integrals Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@42eca56e Item: Title: 4 Applications Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@52f759d7 Children: Item: Title: 4.1 Second order PDE Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7cbd213e Children: Item: Title: 4.1.1 A toy example Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@192d3247 Item: Title: 4.1.2 Reduced Ostrovsky equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3ecd23d9 Item: Title: 4.1.3 Perturbed non-linear Klein-Gordon equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@569cfc36 Item: Title: 4.1.4 Perturbed sine-Gordon equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@43bd930a Item: Title: 4.2 PDE with order greater than 2 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@33723e30 Children: Item: Title: 4.2.1 Perturbed generalized Korteweg-de Vries equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@64f6106c Item: Title: 4.2.2 Perturbed Rosenau-Hyman equation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@553a3d88 Item: Title: 4.2.3 Camassa-Holm equation and related PDE Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a30d1e6 Item: Title: 4.2.4 Boussinesq-type equations Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5891e32e Item: Title: Acknowledgments Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@cb0ed20 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@8e24743 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 Fonts: Type1: Font: BaseFont: LPKKCI+MTSYN FontSubset: true FirstChar: 2 LastChar: 215 FontDescriptor: FontName: LPKKCI+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: LPKKCJ+Times-Italic FontSubset: true FirstChar: 30 LastChar: 242 FontDescriptor: FontName: LPKKCJ+Times-Italic Flags: Serif, Nonsymbolic, Italic FontBBox: -169, -217, 1010, 883 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LPKKDK+Times-Bold 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LPKKBE+Helvetica Flags: Nonsymbolic FontBBox: -166, -225, 1000, 931 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: LPKKFN+MT2HRBT FontSubset: true FirstChar: 78 LastChar: 82 FontDescriptor: FontName: LPKKFN+MT2HRBT Flags: Serif, Nonsymbolic FontBBox: -75, -287, 1121, 777 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: LPKKGO+esint10 FontSubset: true FirstChar: 26 LastChar: 180 FontDescriptor: FontName: LPKKGO+esint10 Flags: Serif, Symbolic FontBBox: 54, -2223, 1304, 0 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: LPKKBF+VAGRoundedStd-Bold FontSubset: true FirstChar: 68 LastChar: 116 FontDescriptor: FontName: LPKKBF+VAGRoundedStd-Bold Flags: Symbolic, ForceBold FontBBox: -151, -310, 1060, 939 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: LPKKBG+Times-Roman FontSubset: true FirstChar: 23 LastChar: 246 FontDescriptor: FontName: LPKKBG+Times-Roman Flags: Serif, Nonsymbolic FontBBox: -168, -218, 1000, 898 FontFile3: true EncodingDictionary: BaseEncoding: WinAnsiEncoding Differences: true Font: BaseFont: LPKKHO+wasy10 FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: LPKKHO+wasy10 Flags: Symbolic FontBBox: -23, -1667, 1720, 881 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: LPKLEK+MSAM7 FontSubset: true FirstChar: 2 LastChar: 2 FontDescriptor: FontName: LPKLEK+MSAM7 Flags: Symbolic FontBBox: 28, -552, 1490, 1102 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: LPKKCH+MTMI FontSubset: true FirstChar: 2 LastChar: 122 FontDescriptor: FontName: LPKKCH+MTMI Flags: Serif, Symbolic, Italic FontBBox: 0, -213, 987, 680 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true XMP: application/pdf doi:10.1016/j.jde.2021.05.033 Persistence of periodic traveling waves and Abelian integrals Armengol Gasull Anna Geyer Víctor Mañosa Traveling wave Abelian integral Melnikov-Poincaré-Pontryagin function Periodic orbit Limit cycle Bifurcation Journal of Differential Equations, 293 (2021) 48–69. 10.1016/j.jde.2021.05.033 Elsevier Inc. journal Journal of Differential Equations © 2021 The Author(s). 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