5e115f021f926262922c5bf133f75913 MarVil21c_pub.pdf 3dccd88371c77778b7e5de6089d5c8ab629987a0 MarVil21c_pub.pdf c41366c00eee08a6495c232cd519bcffe3000930b0de3852f564a70e29e839ab MarVil21c_pub.pdf Title: The criticality of reversible quadratic centers at the outer boundary of its period annulus Subject: Journal of Differential Equations, 332 (2022) 123–201. 10.1016/j.jde.2022.05.026 Author: D. Marín Creator: Elsevier Producer: Acrobat Distiller 9.5.5 (Windows) CreationDate: Thu Jun 23 12:05:35 2022 CEST ModDate: Thu Jun 23 12:05:35 2022 CEST Tagged: yes UserProperties: no Suspects: no Form: none JavaScript: no Pages: 79 Encrypted: no Page size: 467.717 x 680.315 pts Page rot: 0 File size: 1085721 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- OBBNEO+Helvetica Type 1C WinAnsi yes yes no 2312 0 OBBNHH+Symbol Type 1C Custom yes yes yes 2317 0 OBBNEP+VAGRoundedStd-Bold Type 1C Custom yes yes yes 2318 0 OBBNFA+Times-Roman Type 1C Custom yes yes no 2319 0 OBBNFB+ZapfDingbats Type 1C Custom yes yes yes 2320 0 OBBNFC+MTMI Type 1C Custom yes yes yes 2321 0 OBBNGD+MTSYN Type 1C Custom yes yes yes 2322 0 OBBNGE+Times-Italic Type 1C Custom yes yes no 2323 0 OBBNGF+Times-Bold Type 1C MacRoman yes yes no 2324 0 OBBNGG+MT2HRBT Type 1C WinAnsi yes yes no 2325 0 OBBNJH+CMSY9 Type 1C Custom yes yes yes 969 0 OBBNJI+MTEX Type 1C Custom yes yes yes 964 0 OBBNJJ+rsfs10 Type 1C Custom yes yes yes 970 0 OBBNOI+CMSY8 Type 1C Custom yes yes yes 975 0 OBBNPJ+MSAM10 Type 1C Custom yes yes no 981 0 OBBOLF+CMSY10 Type 1C Custom yes yes yes 985 0 OBBPGC+MT2HRBS Type 1C WinAnsi yes yes no 990 0 OBCAEN+EUFM10 Type 1C Custom yes yes yes 993 0 OBCGGJ+MTMIB Type 1C Custom yes yes yes 998 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-09-17 02:33:07 CEST RepresentationInformation: MarVil21c_pub.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-09-16 10:43:39 CEST Size: 1085721 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 2383 FreeObjects: 866 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en Outlines: Item: Title: The criticality of reversible quadratic centers at the outer boundary of its period annulus Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e720b71 Children: Item: Title: 1 Introduction and main results Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1b26f7b2 Item: Title: 2 Criticality vs bifurcation Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@491cc5c9 Item: Title: 3 Asymptotic expansion of the period function Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@74ad1f1f Children: Item: Title: 3.1 Study of {D=−1/2,F∈(1/2,1)} and {F=1/2,D∈(−1,0)} Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6a1aab78 Item: Title: 3.2 Study of {F=2,D∈(−2,0)} and {D=G(F):F∈(1,3/2)} Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@462d5aee Item: Title: 3.3 Study of {F=1,D∈(−1,0)} Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@69b0fd6f Item: Title: 4 Distinguished cases Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@757942a1 Item: Title: 5 Proof of Theorem A Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4a87761d Item: Title: Appendix A Coefficient formulas Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@66d1af89 Children: Item: Title: A.1 Previous results about the Dulac time Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@8646db9 Item: Title: A.2 Proof of Proposition 3.2 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@37374a5e Item: Title: A.3 Proof of Proposition 3.3 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4671e53b Item: Title: Appendix B Beta and hypergeometric functions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@2db7a79b Item: Title: Appendix C A technical result for the proof of Proposition 3.3 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6950e31 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@b7dd107 Info: Title: The criticality of reversible quadratic centers at the outer boundary of its period annulus Author: D. 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