3012a79265444b5e00a11101a5638d44 s10884-026-10507-0.pdf f3d19f7ad7eabc5c551026547a28aa582753a185 s10884-026-10507-0.pdf 1a13537acddaf05e93dc2a492c2d7d51d63bcd416d0dede7c6d1c5139a1a796b s10884-026-10507-0.pdf Title: Mixed Simultaneous Cyclicity for Piecewise Smooth Vector Fields Defined on an Invariant Sphere Subject: Journal of Dynamics and Differential Equations, https://doi.org/10.1007/s10884-026-10507-0 Keywords: Piecewise smooth vector fields on an invariant sphere; Integrability; Mixed simultaneous cyclicity Author: Regilene Oliveira Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Tue May 5 02:47:47 2026 CEST ModDate: Tue May 5 02:48:58 2026 CEST Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 21 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 628413 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- JDEVVB+MyriadPro-SemiCn Type 1C WinAnsi yes yes no 895 0 MQRWYF+MSBM10 Type 1C WinAnsi yes yes no 919 0 YEPDKP+CMSY9 Type 1C WinAnsi yes yes no 927 0 EXIHSQ+MarVoSym Type 1C WinAnsi yes yes no 931 0 DIXFIE+Springnew-Regular Type 1C WinAnsi yes yes no 930 0 PJBYBN+MyriadPro-SemiboldSemiCn Type 1C MacRoman yes yes no 904 0 CMWTQE+MyriadPro-Semibold Type 1C WinAnsi yes yes no 905 0 CYTCUG+MTSYB Type 1C WinAnsi yes yes no 920 0 DGYXXK+MyriadPro-Bold Type 1C MacRoman yes yes no 921 0 PNFGHU+Times-Roman Type 1C MacRoman yes yes no 922 0 DKQSWF+Times-Italic Type 1C MacRoman yes yes no 923 0 AVNYEG+MTSYN Type 1C Custom yes yes yes 924 0 PLHDTC+MTMI Type 1C Custom yes yes yes 925 0 JRDAEU+EUFM10 Type 1C WinAnsi yes yes no 326 0 SSQBWI+MTEX Type 1C Custom yes yes yes 323 0 XESCXG+EUFM7 Type 1C WinAnsi yes yes no 359 0 JLSOEE+MSBM5 Type 1C WinAnsi yes yes no 361 0 OOFSYF+MyriadPro-BoldSemiCn Type 1C WinAnsi yes yes no 422 0 QRHRFE+MyriadPro-SemiboldSemiCnIt Type 1C WinAnsi yes yes no 449 0 FQRSEV+CMSY8 Type 1C WinAnsi yes yes no 456 0 ORPRQT+CMSY7 Type 1C WinAnsi yes yes no 463 0 RAMTOM+MSBM7 Type 1C Custom yes yes no 554 0 DWABQR+Times-Bold Type 1C WinAnsi yes yes no 715 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-05-28 03:09:08 CEST RepresentationInformation: s10884-026-10507-0.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-05-27 13:56:52 CEST Size: 628413 Format: PDF Version: 1.4 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 980 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: EN Outlines: Item: Title: Mixed Simultaneous Cyclicity for Piecewise Smooth Vector Fields Defined on an Invariant Sphere Destination: Doc-Start Children: Item: Title: Abstract Destination: abscnt.2 Item: Title: 1 Introduction and Statement of the Main Result Destination: section.1 Item: Title: 2 Configuration of Interest and its Normal Form Destination: section.2 Children: Item: Title: 2.1 Some Background Destination: subsection.2.1 Item: Title: 2.2 Our Configuration of Interest Destination: subsection.2.2 Item: Title: 2.3 Piecewise Quadratic Perturbations Destination: subsection.2.3 Item: Title: 3 Local Cyclicity in a Neighborhood of a Monodromic Equilibrium Point Destination: section.3 Item: Title: 4 Melnikov Method for Planar Smooth and Piecewise Smooth Vector Fields Destination: section.4 Children: Item: Title: 4.1 Smooth Method Destination: subsection.4.1 Item: Title: 4.2 Piecewise Method Destination: subsection.4.2 Item: Title: 4.3 Technical Lemmas: The Melnikov Functions Destination: subsection.4.3 Item: Title: 5 Lower Bounds of Crossing Limit Cycles Destination: section.5 Item: Title: 6 Mixed Simultaneous Cyclicity Destination: section.6 Item: Title: Acknowledgements Destination: ackcount.1 Item: Title: References Destination: myseccnt.1 Info: Title: Mixed Simultaneous Cyclicity for Piecewise Smooth Vector Fields Defined on an Invariant Sphere Author: Regilene Oliveira Subject: Journal of Dynamics and Differential Equations, https://doi.org/10.1007/s10884-026-10507-0 Keywords: Piecewise smooth vector fields on an invariant sphere; Integrability; Mixed simultaneous cyclicity Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Tue May 05 03:17:47 CEST 2026 ModDate: Tue May 05 03:18:58 CEST 2026 ID: 0xf99319f2ae0dc828f076140c8b3ba570, 0x30ab98e370d04142906df65df9ea91c4 Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode Images: Image: NisoImageMetadata: FormatName: image/png ImageWidth: 1100 ImageHeight: 90 ColorSpace: black is zero BitsPerSample: 1 BitsPerSampleUnit: integer Filter: FlateDecode Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 687 ImageHeight: 940 BitsPerSample: 8 BitsPerSampleUnit: integer Intent: Perceptual Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 806 ImageHeight: 403 BitsPerSample: 8 BitsPerSampleUnit: integer Fonts: Type1: Font: BaseFont: QRHRFE+MyriadPro-SemiboldSemiCnIt FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: QRHRFE+MyriadPro-SemiboldSemiCnIt Flags: Nonsymbolic, Italic, ForceBold FontBBox: -189, -250, 1097, 962 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: DIXFIE+Springnew-Regular FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: DIXFIE+Springnew-Regular Flags: Nonsymbolic FontBBox: -100, -99, 476, 610 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: EXIHSQ+MarVoSym FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: EXIHSQ+MarVoSym Flags: Nonsymbolic FontBBox: -572, -500, 1531, 1004 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: SSQBWI+MTEX FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: SSQBWI+MTEX Flags: Symbolic FontBBox: 149, -2954, 540, 46 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: JRDAEU+EUFM10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: JRDAEU+EUFM10 Flags: Nonsymbolic FontBBox: -26, -224, 1055, 741 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: OOFSYF+MyriadPro-BoldSemiCn FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: OOFSYF+MyriadPro-BoldSemiCn Flags: Nonsymbolic FontBBox: -159, -250, 1161, 980 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: XESCXG+EUFM7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: XESCXG+EUFM7 Flags: Nonsymbolic FontBBox: 0, -250, 1193, 750 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: PJBYBN+MyriadPro-SemiboldSemiCn FontSubset: true FirstChar: 0 LastChar: 240 FontDescriptor: FontName: PJBYBN+MyriadPro-SemiboldSemiCn Flags: Nonsymbolic, ForceBold FontBBox: -156, -250, 1115, 963 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: FQRSEV+CMSY8 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: FQRSEV+CMSY8 Flags: Nonsymbolic, Italic FontBBox: -30, -955, 1185, 779 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: CMWTQE+MyriadPro-Semibold FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: CMWTQE+MyriadPro-Semibold Flags: Nonsymbolic, ForceBold FontBBox: -71, -250, 1198, 889 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: JLSOEE+MSBM5 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: JLSOEE+MSBM5 Flags: Nonsymbolic FontBBox: 28, -12, 530, 704 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: RAMTOM+MSBM7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: RAMTOM+MSBM7 Flags: Symbolic FontBBox: 0, 580, 2121, 845 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: DWABQR+Times-Bold FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: DWABQR+Times-Bold Flags: Serif, Nonsymbolic, ForceBold FontBBox: -168, -218, 1000, 935 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: ORPRQT+CMSY7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: ORPRQT+CMSY7 Flags: Nonsymbolic, Italic FontBBox: -15, -951, 1252, 782 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: MQRWYF+MSBM10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MQRWYF+MSBM10 Flags: Nonsymbolic FontBBox: 15, 0, 703, 685 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: CYTCUG+MTSYB FontSubset: true FirstChar: 0 LastChar: 183 FontDescriptor: FontName: CYTCUG+MTSYB Flags: Nonsymbolic, ForceBold FontBBox: -16, -935, 1043, 896 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: DGYXXK+MyriadPro-Bold FontSubset: true FirstChar: 0 LastChar: 240 FontDescriptor: FontName: DGYXXK+MyriadPro-Bold Flags: Nonsymbolic, ForceBold FontBBox: -92, -250, 1256, 897 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: PNFGHU+Times-Roman FontSubset: true FirstChar: 0 LastChar: 252 FontDescriptor: FontName: PNFGHU+Times-Roman Flags: Serif, Nonsymbolic FontBBox: -168, -218, 1000, 898 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: DKQSWF+Times-Italic FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: DKQSWF+Times-Italic Flags: Serif, Nonsymbolic, Italic FontBBox: -169, -217, 1010, 883 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: AVNYEG+MTSYN FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: AVNYEG+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: PLHDTC+MTMI FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: PLHDTC+MTMI Flags: Symbolic, Italic FontBBox: 0, -213, 987, 680 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: YEPDKP+CMSY9 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: YEPDKP+CMSY9 Flags: Nonsymbolic, Italic FontBBox: -30, -958, 1146, 777 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: JDEVVB+MyriadPro-SemiCn FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: JDEVVB+MyriadPro-SemiCn Flags: Nonsymbolic FontBBox: -152, -250, 1059, 947 FontFile3: true Encoding: WinAnsiEncoding XMP: 2026-05-05T06:17:47+05:30 Springer 2026-05-05T06:18:58+05:30 2026-05-05T06:18:58+05:30 Acrobat Distiller 10.1.8 (Windows) Piecewise smooth vector fields on an invariant sphere; Integrability; Mixed simultaneous cyclicity application/pdf https://doi.org/10.1007/s10884-026-10507-0 Springer US Journal of Dynamics and Differential Equations, https://doi.org/10.1007/s10884-026-10507-0 Piecewise smooth vector fields on an invariant sphere Integrability Mixed simultaneous cyclicity Mixed Simultaneous Cyclicity for Piecewise Smooth Vector Fields Defined on an Invariant Sphere Regilene Oliveira Ana Livia Rodero Joan Torregrosa 10.1007/s10884-026-10507-0 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s10884-026-10507-0 10.1007/s10884-026-10507-0 1572-9222 journal Journal of Dynamics and Differential Equations The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2010-04-23 true 10.1007/s10884-026-10507-0 noindex springer.com springerlink.com VoR uuid:f257b0fd-d097-4725-bf31-f1992fc8c0e9 uuid:afa0460c-6d69-4146-9c84-3dcaf0845537 default 1 converted uuid:f257b0fd-d097-4725-bf31-f1992fc8c0e9 converted to PDF/A-2b pdfToolbox 2026-05-05T06:18:22+05:30 converted uuid:c8c1b327-bb80-4ffb-a297-69219d166895 converted to PDF/A-2b pdfToolbox 2026-05-05T06:18:58+05:30 2 B http://ns.adobe.com/pdfx/1.3/ pdfx Adobe Document Info PDF eXtension Schema external Mirrors crossmark:MajorVersionDate CrossmarkMajorVersionDate Text external Mirrors crossmark:CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal Mirrors crossmark:DOI doi Text external Mirrors crossmark:CrosMarkDomains CrossMarkDomains seq Text internal A name object indicating whether the document has been modified to include trapping information robots Text internal ID of PDF/X standard GTS_PDFXVersion Text internal Conformance level of PDF/X standard GTS_PDFXConformance Text internal Company creating the PDF Company Text internal Date when document was last modified SourceModified Text http://crossref.org/crossmark/1.0/ crossmark Crossmark Schema internal Usual same as prism:doi DOI Text external The date when a publication was publishe. MajorVersionDate Text internal CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal CrossMarkDomains CrossMarkDomains seq Text http://prismstandard.org/namespaces/basic/2.0/ prism Prism Schema external This element provides the url for an article or unit of content. The attribute platform is optionally allowed for situations in which multiple URLs must be specified. PRISM recommends that a subset of the PCV platform values, namely “mobile” and “web”, be used in conjunction with this element. NOTE: PRISM recommends against the use of the #other value allowed in the PRISM Platform controlled vocabulary. In lieu of using #other please reach out to the PRISM group at prism-wg@yahoogroups.com to request addition of your term to the Platform Controlled Vocabulary. url URI external The Digital Object Identifier for the article. The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). doi Text external ISSN for an electronic version of the issue in which the resource occurs. Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. If used, prism:eIssn MUST contain the ISSN of the electronic version. issn Text internal Volume number volume Text internal Issue number number Text internal Starting page startingPage Text internal Ending page endingPage Text external The aggregation type specifies the unit of aggregation for a content collection. Comment PRISM recommends that the PRISM Aggregation Type Controlled Vocabulary be used to provide values for this element. Note: PRISM recommends against the use of the #other value currently allowed in this controlled vocabulary. In lieu of using #other please reach out to the PRISM group at info@prismstandard.org to request addition of your term to the Aggregation Type Controlled Vocabulary. aggregationType Text external Title of the magazine, or other publication, in which a resource was/will be published. Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.” publicationName Text external Copyright copyright Text http://ns.adobe.com/pdf/1.3/ pdf Adobe PDF Schema internal A name object indicating whether the document has been modified to include trapping information Trapped Text http://ns.adobe.com/xap/1.0/mm/ xmpMM XMP Media Management Schema internal UUID based identifier for specific incarnation of a document InstanceID URI internal The common identifier for all versions and renditions of a document. DocumentID URI internal The common identifier for all versions and renditions of a document. OriginalDocumentID URI internal A reference to the original document from which this one is derived. It is a minimal reference; missing components can be assumed to be unchanged. For example, a new version might only need to specify the instance ID and version number of the previous version, or a rendition might only need to specify the instance ID and rendition class of the original. DerivedFrom ResourceRef Identifies a portion of a document. This can be a position at which the document has been changed since the most recent event history (stEvt:changed). For a resource within an xmpMM:Ingredients list, the ResourceRef uses this type to identify both the portion of the containing document that refers to the resource, and the portion of the referenced resource that is referenced. http://ns.adobe.com/xap/1.0/sType/Part# stPart Part http://www.aiim.org/pdfa/ns/id/ pdfaid PDF/A ID Schema internal Part of PDF/A standard part Integer internal Amendment of PDF/A standard amd Text internal Conformance level of PDF/A standard conformance Text http://ns.adobe.com/xap/1.0/t/pg/ xmpTPg XMP Paged-Text internal XMP08 Spec: An ordered array of plate names that are needed to print the document (including any in contained documents). PlateNames Seq Text http://www.niso.org/schemas/jav/1.0/ jav NISO external Values for Journal Article Version are one of the following: AO = Author’s Original SMUR = Submitted Manuscript Under Review AM = Accepted Manuscript P = Proof VoR = Version of Record CVoR = Corrected Version of Record EVoR = Enhanced Version of Record journal_article_version Closed Choice of Text Pages: Page: Label: 1 Annotations: Annotation: Subtype: Link Rect: 363, 572, 394, 603 Flags: Print AppearanceDictionary: true Annotation: Subtype: Link Rect: 205, 208, 211, 218 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 215, 208, 225, 218 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 229, 208, 239, 218 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 243, 208, 253, 218 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 257, 208, 267, 218 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 271, 208, 281, 218 Flags: Print AppearanceDictionary: true Destination: 283 Thumb: true Page: Label: 2 Annotations: Annotation: Subtype: Link Rect: 235, 588, 241, 598 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 245, 588, 250, 598 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 49, 542, 55, 552 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 58, 542, 64, 552 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 67, 542, 78, 552 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 186, 542, 192, 552 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 195, 542, 205, 552 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 257, 519, 263, 530 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 49, 416, 55, 426 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 59, 416, 69, 426 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 74, 416, 84, 426 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 223, 405, 229, 415 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 233, 405, 239, 415 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 242, 405, 248, 415 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 252, 405, 262, 415 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 291, 393, 301, 404 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 305, 393, 315, 404 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 111, 336, 122, 346 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 125, 336, 136, 346 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 238, 313, 248, 323 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 252, 313, 263, 323 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 317, 108, 328, 119 Flags: Print AppearanceDictionary: true Destination: 279 Thumb: true Page: Label: 3 Annotations: Annotation: Subtype: Link Rect: 160, 290, 167, 298 Flags: Print AppearanceDictionary: true Destination: 26 Annotation: Subtype: Link Rect: 149, 267, 155, 278 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 158, 267, 164, 278 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 70, 185, 77, 194 Flags: Print AppearanceDictionary: true Destination: 1 Annotation: Subtype: Link Rect: 273, 107, 279, 115 Flags: Print AppearanceDictionary: true Destination: 1 Annotation: Subtype: Link Rect: 260, 95, 267, 103 Flags: Print AppearanceDictionary: true Destination: 26 Annotation: Subtype: Link Rect: 165, 84, 172, 92 Flags: Print AppearanceDictionary: true Destination: 1 Annotation: Subtype: Link Rect: 339, 84, 346, 92 Flags: Print AppearanceDictionary: true Destination: 26 Annotation: Subtype: Link Rect: 88, 61, 95, 69 Flags: Print AppearanceDictionary: true Destination: 26 Annotation: Subtype: Link Rect: 240, 61, 247, 69 Flags: Print AppearanceDictionary: true Destination: 1 Thumb: true Page: Label: 4 Annotations: Annotation: Subtype: Link Rect: 71, 447, 77, 457 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 334, 390, 341, 398 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 49, 355, 59, 366 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 63, 355, 73, 366 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 151, 344, 156, 354 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 73, 275, 79, 283 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 317, 264, 323, 274 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 349, 252, 363, 261 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 155, 162, 162, 170 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 288, 117, 294, 125 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 384, 49, 391, 57 Flags: Print AppearanceDictionary: true Destination: 46 Thumb: true Page: Label: 5 Annotations: Annotation: Subtype: Link Rect: 132, 531, 139, 539 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 371, 508, 377, 516 Flags: Print AppearanceDictionary: true Destination: 254 Annotation: Subtype: Link Rect: 218, 405, 224, 415 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 262, 393, 269, 402 Flags: Print AppearanceDictionary: true Destination: 62 Annotation: Subtype: Link Rect: 333, 382, 340, 390 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 228, 359, 234, 367 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 91, 347, 98, 356 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 194, 347, 201, 356 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 275, 347, 281, 356 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 370, 347, 377, 356 Flags: Print AppearanceDictionary: true Destination: 254 Annotation: Subtype: Link Rect: 305, 336, 311, 344 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 203, 266, 208, 277 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 212, 266, 218, 277 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 377, 255, 391, 263 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 282, 244, 292, 254 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 134, 181, 140, 192 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 102, 117, 108, 125 Flags: Print AppearanceDictionary: true Destination: 62 Thumb: true Page: Label: 6 Annotations: Annotation: Subtype: Link Rect: 71, 599, 76, 610 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 142, 527, 148, 538 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 381, 527, 388, 535 Flags: Print AppearanceDictionary: true Destination: 62 Annotation: Subtype: Link Rect: 160, 516, 167, 524 Flags: Print AppearanceDictionary: true Destination: 26 Annotation: Subtype: Link Rect: 373, 346, 380, 354 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 105, 326, 112, 335 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 269, 326, 276, 335 Flags: Print AppearanceDictionary: true Destination: 62 Annotation: Subtype: Link Rect: 139, 292, 146, 300 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 190, 269, 197, 277 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 139, 239, 145, 247 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 381, 239, 388, 247 Flags: Print AppearanceDictionary: true Destination: 62 Annotation: Subtype: Link Rect: 255, 216, 262, 224 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 252, 193, 259, 201 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 316, 108, 323, 116 Flags: Print AppearanceDictionary: true Destination: 82 Thumb: true Page: Label: 7 Annotations: Annotation: Subtype: Link Rect: 189, 599, 196, 608 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 197, 552, 204, 561 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 66, 130, 73, 139 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 79, 49, 86, 58 Flags: Print AppearanceDictionary: true Destination: 99 Thumb: true Page: Label: 8 Annotations: Annotation: Subtype: Link Rect: 250, 366, 256, 374 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 252, 354, 264, 363 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 246, 343, 253, 351 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 112, 320, 119, 328 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 96, 309, 103, 317 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 202, 297, 209, 305 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 341, 297, 348, 305 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 156, 251, 163, 260 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 79, 240, 85, 250 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 251, 114, 256, 124 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 260, 114, 266, 124 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 270, 114, 280, 124 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 284, 114, 294, 124 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 171, 90, 178, 98 Flags: Print AppearanceDictionary: true Destination: 82 Thumb: true Page: Label: 9 Annotations: Annotation: Subtype: Link Rect: 131, 457, 137, 465 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 317, 457, 324, 466 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 63, 294, 74, 305 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 78, 294, 88, 305 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 168, 186, 179, 194 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 77, 126, 89, 135 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 227, 72, 238, 80 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 106, 61, 118, 69 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 183, 49, 194, 60 Flags: Print AppearanceDictionary: true Destination: 279 Thumb: true Page: Label: 10 Annotations: Annotation: Subtype: Link Rect: 90, 594, 100, 601 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 94, 365, 105, 374 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 260, 235, 271, 243 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 49, 223, 60, 232 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 136, 107, 148, 115 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 294, 95, 304, 106 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 233, 84, 239, 92 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 203, 72, 213, 83 Flags: Print AppearanceDictionary: true Destination: 283 Thumb: true Page: Label: 11 Annotations: Annotation: Subtype: Link Rect: 143, 588, 154, 596 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 176, 526, 188, 534 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 272, 475, 278, 483 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 377, 402, 387, 413 Flags: Print AppearanceDictionary: true Destination: 279 Annotation: Subtype: Link Rect: 252, 391, 259, 399 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 313, 379, 320, 388 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 219, 357, 225, 365 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 356, 344, 363, 352 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 156, 326, 163, 334 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 153, 158, 160, 166 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 146, 61, 152, 69 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 170, 49, 182, 58 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 206, 49, 217, 58 Flags: Print AppearanceDictionary: true Destination: 151 Thumb: true Page: Label: 12 Annotations: Annotation: Subtype: Link Rect: 138, 466, 150, 474 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 127, 443, 138, 451 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 183, 443, 190, 451 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 200, 397, 214, 405 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 153, 318, 160, 326 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 327, 318, 334, 326 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 90, 114, 101, 122 Flags: Print AppearanceDictionary: true Destination: 170 Thumb: true Page: Label: 13 Annotations: Annotation: Subtype: Link Rect: 226, 599, 237, 608 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 377, 570, 384, 578 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 254, 558, 261, 566 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 143, 395, 155, 403 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 258, 361, 269, 369 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 125, 349, 139, 358 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 134, 259, 146, 267 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 369, 259, 381, 267 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 100, 247, 111, 255 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 180, 189, 186, 197 Flags: Print AppearanceDictionary: true Destination: 151 Annotation: Subtype: Link Rect: 204, 189, 211, 197 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 325, 189, 332, 197 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 350, 189, 361, 197 Flags: Print AppearanceDictionary: true Destination: 203 Annotation: Subtype: Link Rect: 76, 178, 83, 186 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 384, 178, 390, 186 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 132, 155, 144, 163 Flags: Print AppearanceDictionary: true Destination: 212 Annotation: Subtype: Link Rect: 330, 155, 336, 163 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 169, 125, 176, 133 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 49, 102, 56, 110 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 253, 72, 264, 80 Flags: Print AppearanceDictionary: true Destination: 170 Thumb: true Page: Label: 14 Annotations: Annotation: Subtype: Link Rect: 168, 599, 179, 608 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 190, 236, 197, 245 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 173, 204, 180, 212 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 49, 181, 56, 189 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 153, 148, 165, 156 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 49, 136, 60, 145 Flags: Print AppearanceDictionary: true Destination: 180 Thumb: true Page: Label: 15 Annotations: Annotation: Subtype: Link Rect: 199, 482, 206, 490 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 149, 451, 155, 460 Flags: Print AppearanceDictionary: true Destination: 137 Annotation: Subtype: Link Rect: 332, 440, 342, 450 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 252, 214, 262, 224 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 121, 202, 128, 211 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 145, 202, 156, 211 Flags: Print AppearanceDictionary: true Destination: 203 Annotation: Subtype: Link Rect: 177, 149, 183, 157 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 198, 137, 204, 146 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 348, 107, 354, 115 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 308, 84, 319, 92 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 222, 72, 229, 80 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 178, 61, 185, 69 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 280, 61, 290, 71 Flags: Print AppearanceDictionary: true Destination: 283 Thumb: true Page: Label: 16 Annotations: Annotation: Subtype: Link Rect: 197, 519, 209, 527 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 318, 519, 329, 527 Flags: Print AppearanceDictionary: true Destination: 170 Thumb: true Page: Label: 17 Annotations: Annotation: Subtype: Link Rect: 192, 244, 199, 253 Flags: Print AppearanceDictionary: true Destination: 233 Annotation: Subtype: Link Rect: 339, 84, 350, 94 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 290, 72, 297, 80 Flags: Print AppearanceDictionary: true Destination: 82 Thumb: true Page: Label: 18 Annotations: Annotation: Subtype: Link Rect: 355, 243, 361, 251 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 175, 209, 182, 217 Flags: Print AppearanceDictionary: true Destination: 241 Annotation: Subtype: Link Rect: 320, 209, 331, 219 Flags: Print AppearanceDictionary: true Destination: 283 Annotation: Subtype: Link Rect: 328, 197, 335, 205 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 232, 151, 244, 160 Flags: Print AppearanceDictionary: true Destination: 212 Annotation: Subtype: Link Rect: 350, 74, 361, 82 Flags: Print AppearanceDictionary: true Destination: 170 Thumb: true Page: Label: 19 Annotations: Annotation: Subtype: Link Rect: 227, 576, 233, 584 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 154, 517, 161, 525 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 256, 517, 263, 526 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 87, 494, 93, 503 Flags: Print AppearanceDictionary: true Destination: 170 Annotation: Subtype: Link Rect: 164, 473, 171, 481 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 259, 450, 266, 458 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 222, 406, 229, 414 Flags: Print AppearanceDictionary: true Destination: 180 Annotation: Subtype: Link Rect: 291, 406, 298, 414 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 322, 394, 333, 402 Flags: Print AppearanceDictionary: true Destination: 125 Annotation: Subtype: Link Rect: 49, 383, 60, 391 Flags: Print AppearanceDictionary: true Destination: 203 Annotation: Subtype: Link Rect: 85, 383, 96, 391 Flags: Print AppearanceDictionary: true Destination: 203 Annotation: Subtype: Link Rect: 339, 347, 346, 355 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 165, 314, 171, 323 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 288, 291, 294, 300 Flags: Print AppearanceDictionary: true Destination: 82 Annotation: Subtype: Link Rect: 265, 247, 277, 255 Flags: Print AppearanceDictionary: true Destination: 254 Annotation: Subtype: Link Rect: 365, 247, 376, 255 Flags: Print AppearanceDictionary: true Destination: 203 Annotation: Subtype: Link Rect: 92, 236, 98, 244 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 155, 214, 162, 222 Flags: Print AppearanceDictionary: true Destination: 46 Annotation: Subtype: Link Rect: 333, 214, 340, 223 Flags: Print AppearanceDictionary: true Destination: 108 Annotation: Subtype: Link Rect: 380, 214, 391, 222 Flags: Print AppearanceDictionary: true Destination: 254 Annotation: Subtype: Link Rect: 108, 203, 119, 211 Flags: Print AppearanceDictionary: true Destination: 212 Annotation: Subtype: Link Rect: 205, 181, 216, 190 Flags: Print AppearanceDictionary: true Destination: 212 Thumb: true Page: Label: 20 Annotations: Annotation: Subtype: Link Rect: 161, 452, 304, 461 Flags: Print AppearanceDictionary: true Thumb: true Page: Label: 21 Thumb: true Checksum: 258a1ce7 Type: CRC32 Checksum: 3012a79265444b5e00a11101a5638d44 Type: MD5 Checksum: f3d19f7ad7eabc5c551026547a28aa582753a185 Type: SHA-1 Checksum: 1a13537acddaf05e93dc2a492c2d7d51d63bcd416d0dede7c6d1c5139a1a796b Type: SHA-256