6e0f05632070434041c1816cadfecf37 s00220-025-05299-1.pdf d7405451890df84a6644ac3af6c6077be9266e14 s00220-025-05299-1.pdf b4cbd1e03826203179db74bcb7fd7e0cc52f93ce66c9f5a80b9a9a6e8b1ffccd s00220-025-05299-1.pdf Title: Parabolic Saddles and Newhouse Domains in Celestial Mechanics Subject: Communications in Mathematical Physics, https://doi.org/10.1007/s00220-025-05299-1 Author: Miguel Garrido Creator: Springer CreationDate: Wed Jun 11 20:02:08 2025 CEST ModDate: Mon Jul 7 10:52:01 2025 CEST Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 67 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 1023767 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- Times-Roman Type 1C Custom yes no no 2190 0 RBGCEA+Helvetica Type 1C WinAnsi yes yes no 2191 0 OSITGX+Helvetica-Bold Type 1C WinAnsi yes yes no 2192 0 EWLXCJ+Times-Bold Type 1C Custom yes yes no 2200 0 LERBQV+Times-Italic Type 1C MacRoman yes yes no 2204 0 AMOXUR+CMSY10 Type 1C WinAnsi yes yes no 2207 0 VKVGGU+MTSYN Type 1C Custom yes yes yes 2208 0 RJUVMD+MSBM10 Type 1C WinAnsi yes yes no 799 0 RQUPGX+MTMI Type 1C Custom yes yes yes 826 0 UKDLWX+MSBM7 Type 1C WinAnsi yes yes no 859 0 MWANDB+MTEX Type 1C Custom yes yes yes 1032 0 LUGLDI+CMSY8 Type 1C WinAnsi yes yes no 1071 0 XCGATT+MSAM10 Type 1C Custom yes yes yes 1098 0 QKITUJ+stmary10 Type 1C Custom yes yes no 1283 0 CAQYTM+stmary9 Type 1C Custom yes yes no 1306 0 WUDRTL+stmary8 Type 1C Custom yes yes no 1339 0 RVILCN+CMSY9 Type 1C WinAnsi yes yes no 1480 0 PRWHRA+Courier Type 1C WinAnsi yes yes no 1557 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2025-07-11 02:08:40 CEST RepresentationInformation: s00220-025-05299-1.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2025-07-10 12:35:25 CEST Size: 1023767 Format: PDF Version: 1.4 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 2250 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: Parabolic Saddles and Newhouse Domains in Celestial Mechanics Destination: Doc-Start Children: Item: Title: Abstract: Destination: section*.1 Item: Title: 1 Introduction Destination: section.1 Item: Title: 2 Outline of the Proof Destination: section.2 Item: Title: 3 Normal Form Coordinates Destination: section.3 Item: Title: 4 Construction of the Shilnikov Maps Destination: section.4 Item: Title: 5 Secondary Homoclinic Tangencies to the Degenerate Saddle Destination: section.5 Item: Title: 6 Renormalization in a Neighborhood of the Homoclinic Tangency Destination: section.6 Item: Title: Acknowledgements. Destination: acksectcnt.1 Item: Title: Appendix A. Splitting of Invariant Manifolds in the Restricted 3-Body Problem Destination: acksectcnt.1 Item: Title: Appendix B. Splitting of Invariant Manifolds in the Sitnikov Problem Destination: equation.Alph0.3 Item: Title: Appendix C. Splitting of Invariant Manifolds in the Restricted 4-Body Problem Destination: equation.Alph0.3 Item: Title: Appendix D. Proof of Proposition 3.2 Destination: equation.Alph0.9 Item: Title: References Destination: lemaa.4 Info: Title: Parabolic Saddles and Newhouse Domains in Celestial Mechanics Author: Miguel Garrido Subject: Communications in Mathematical Physics, https://doi.org/10.1007/s00220-025-05299-1 Creator: Springer CreationDate: Wed Jun 11 20:32:08 CEST 2025 ModDate: Mon Jul 07 11:22:01 CEST 2025 ID: 0x8e34552446d00ade0198708f34aec401, 0xbf897038f39a5c418e427b861fa4fd17 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: VKVGGU+MTSYN FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: VKVGGU+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: QKITUJ+stmary10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: QKITUJ+stmary10 Flags: Symbolic FontBBox: 115, -250, 380, 750 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: MWANDB+MTEX 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