e8e8cbae80ce19491ddb9de000d76654 universe_a2021v7n11p445.pdf f7e7a6612e7ee82026597fd7682a66c9ede72196 universe_a2021v7n11p445.pdf 818ceb4954bd7dd211c7c9901f430d0ca311ed8af3003a04fff889e7ab230abc universe_a2021v7n11p445.pdf Title: Global Dynamics of the Hořava–Lifshitz Cosmological Model in a Non-Flat Universe with Non-Zero Cosmological Constant Subject: When the cosmological constant is non-zero, the dynamics of the cosmological model based on Hořava–Lifshitz gravity in a non-flat universe are characterized by using the qualitative theory of differential equations. Keywords: global dynamics; Hořava–Lifshitz; non-flat universe; cosmology constant Author: Fabao Gao and Jaume Llibre Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Tue Nov 23 02:19:18 2021 CET ModDate: Tue Nov 23 02:30:47 2021 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 50 Encrypted: no Page size: 595.276 x 841.89 pts (A4) Page rot: 0 File size: 1442113 bytes Optimized: no PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- OFLJKK+URWPalladioL-Ital Type 1 Custom yes yes no 10 0 ILTVQW+URWPalladioL-Bold Type 1 Custom yes yes no 15 0 IUGXGQ+URWPalladioL-Roma Type 1 Custom yes yes no 19 0 KSQAML+PazoMath Type 1 Builtin yes yes no 23 0 SOSTRQ+CMR10 Type 1 Builtin yes yes no 27 0 PLANET+CMSY10 Type 1 Builtin yes yes no 31 0 WQBNLE+TimesNewRomanPS-BoldItalicMT Type 1C WinAnsi yes yes no 40 0 MCBCCI+SourceSansRoman-Regular Type 1C Custom 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edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@46daef40 Item: Title: Case I: s =0, k=1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@12f41634 Children: Item: Title: Phase Portraits on the Invariant Planes and Surface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@13c27452 Children: Item: Title: The Invariant Plane z=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@262b2c86 Item: Title: The Invariant Plane u=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@371a67ec Item: Title: The Invariant Surface f+(x,z,u)=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@5ed828d Item: Title: The Finite Equilibrium Points Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@50d0686 Item: Title: Phase Portrait on the Poincaré Sphere at Infinity Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@7a3d45bd Item: Title: Phase Portrait Inside the Poincaré Ball Restricted to the Physical Region of Interest x2-(u-z)2 1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1e7c7811 Item: Title: Dynamics in the Interior of the Regions R1 and R2 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77ec78b9 Item: Title: Case II: s =0, k=-1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1a3869f4 Item: Title: Case III: s=0, k=1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@a38d7a3 Children: Item: Title: Phase Portraits on the Invariant Planes and Surface Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@77f99a05 Children: Item: Title: The Invariant Plane x=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@63440df3 Item: Title: The Invariant Plane z=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3aeaafa6 Item: Title: The Invariant Plane u=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@76a3e297 Item: Title: The Invariant Surface f+(x,z,u)=0 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4d3167f4 Item: Title: The Finite Equilibrium Points Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@ed9d034 Item: Title: Phase Portrait on the Poincaré Sphere at Infinity Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6121c9d6 Item: Title: Phase Portrait Inside the Poincaré Ball Restricted to the Physical Region of Interest x2-(u-z)21 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@87f383f Item: Title: Dynamics in the Interior of the Region Q1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4eb7f003 Item: Title: Case IV: s=0, k=-1 Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@eafc191 Item: Title: Conclusions Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612fc6eb Item: Title: Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1060b431 Item: Title: References Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612679d6 Info: Title: ぇぬはぢちぬ〠いべのちねどっび〠はて〠ぴとづ〠えはㅙちぶち⁜〲㍜〰がどてびとどぴぺ〠ぃはびねはぬはでどっちぬ〠きはつづぬ〠どの〠ち〠ぎはの〭うぬちぴ〠さのどぶづひびづ〠ぷどぴと〠ぎはの〭ずづひは〠ぃはびねはぬはでどっちぬ〠ぃはのびぴちのぴ Author: Fabao Gao and Jaume Llibre Subject: しとづの〠ぴとづ〠っはびねはぬはでどっちぬ〠っはのびぴちのぴ〠どび〠のはの〭ぺづひは〬〠ぴとづ〠つべのちねどっび〠はて〠ぴとづ〠っはびねはぬはでどっちぬ〠ねはつづぬ〠ぢちびづつ〠はの〠えはㅙちぶち⁜〲㍜〰がどてびとどぴぺ〠でひちぶどぴべ〠どの〠ち〠のはの〭てぬちぴ〠ふのどぶづひびづ〠ちひづ〠っとちひちっぴづひどぺづつ〠ぢべ〠ふびどので〠ぴとづ〠ぱふちぬどぴちぴどぶづ〠ぴとづはひべ〠はて〠つどててづひづのぴどちぬ〠づぱふちぴどはのび〮 Keywords: でぬはぢちぬ〠つべのちねどっび〻〠えはㅙちぶち⁜〲㍜〰がどてびとどぴぺ〻〠のはの〭てぬちぴ〠ふのどぶづひびづ〻〠っはびねはぬはでべ〠っはのびぴちのぴ Creator: LaTeX with hyperref Producer: pdfTeX-1.40.21 CreationDate: Tue Nov 23 02:19:18 CET 2021 ModDate: Tue Nov 23 02:30:47 CET 2021 ID: 0x4dd18c6ad93c70c6000ef0fefb6c4b77, 0x4dd18c6ad93c70c6000ef0fefb6c4b77 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: SYFPBV+CMMI10 FontSubset: true FirstChar: 60 LastChar: 62 FontDescriptor: FontName: SYFPBV+CMMI10 Flags: Symbolic FontBBox: -32, -250, 1048, 750 FontFile: true Font: BaseFont: 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