4d29fabbd62caa99b153ee92e2e11112 comnonsci_a2022m5v108p106150.pdf 006629ca7bf40cf3e1c74f462274db3a30b0139a comnonsci_a2022m5v108p106150.pdf efb69b5ad561333d3360536b42b7a47c2df9471da6788d9b44c59f6f2308155f comnonsci_a2022m5v108p106150.pdf Subject: Communications in Nonlinear Science and Numerical Simulation, 108 (2022) 106150. doi:10.1016/j.cnsns.2021.106150 Creator: Elsevier Producer: pdfTeX CreationDate: Wed Feb 9 04:50:04 2022 CET ModDate: Wed Feb 9 04:50:04 2022 CET Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 26 Encrypted: no Page size: 544.252 x 742.677 pts Page rot: 0 File size: 836167 bytes Optimized: yes PDF version: 1.7 PDF subtype: PDF/A-1b:2005 Title: ISO 19005 - Electronic document file format for long-term preservation (PDF/A) Abbreviation: PDF/A-1 Subtitle: Part 1: Use of PDF 1.4 Standard: ISO 19005-1 Conformance: Level B, Basic name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- MBZQJW+t1-gul-regular-italic Type 1 Builtin yes yes yes 1054 0 EKOGHA+t1-gul-bold Type 1 Builtin yes yes yes 1057 0 ZGTNHM+MTSYN Type 1 Builtin yes yes yes 1053 0 MRAXXL+RMTMI Type 1 Builtin yes yes yes 1058 0 EIMATQ+MTEX Type 1 Builtin yes yes yes 1059 0 SWTOCC+t1-gul-regular Type 1 Builtin yes yes yes 1051 0 QDTHNW+t1-gul-regular-smallcaps Type 1 Builtin yes yes yes 1055 0 HWNAVD+t1-gul-symbol Type 1 Builtin yes yes yes 1056 0 USCGMP+t1-uni-regular Type 1 Builtin yes yes yes 1052 0 SVPXIN+MSBM10 Type 1 Builtin yes yes yes 1061 0 HIKLWE+CMSY8 Type 1 Builtin yes yes yes 1062 0 YVLRYJ+CMSY6 Type 1 Builtin yes yes yes 1063 0 EPANPA+mathb10 Type 1 Builtin yes yes yes 1081 0 MLYEVU+MSAM10 Type 1 Builtin yes yes yes 1085 0 Jhove (Rel. 1.22.1, 2019-04-17) Date: 2022-04-29 02:25:38 CEST RepresentationInformation: comnonsci_a2022m5v108p106150.pdf ReportingModule: PDF-hul, Rel. 1.12.1 (2019-04-17) LastModified: 2022-04-28 15:36:43 CEST Size: 836167 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 0 FreeObjects: 1 IncrementalUpdates: 0 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: Pointwise periodic maps with quantized first integrals Children: Item: Title: Introduction Item: Title: Preliminaries and main results Children: Item: Title: The case =/2 Item: Title: The case =2/3 Item: Title: The case =/3 Item: Title: The address of a point Item: Title: Proof of th:a Children: Item: Title: Preliminaries Item: Title: Proof of items (i) and (ii) of th:a: dynamics on the zero-free set Item: Title: Proof of item (iii) of th:a: dynamics on the non zero-free set Item: Title: Proof of item (iv) of Theorem A Item: Title: Proof of Theorem B Children: Item: Title: Preliminaries Item: Title: Proof of items (i) and (ii): dynamics on the zero-free set Children: Item: Title: Dynamics on the hexagonal tiles. The case m=k++1 Item: Title: Dynamics on the triangular tiles. The cases m=k+ℓ and m=k+ℓ+2 Item: Title: Proof of item (iii) of th:b: dynamics in the non zero-free set Item: Title: Proof of item (iv) of th:b Item: Title: Proof of th:c Children: Item: Title: Preliminaries Item: Title: Proof of items (i) and (ii) of th:c: dynamics on the zero-free set Item: Title: Proof of item (iii) of th:c: dynamics on the non zero-free set Children: Item: Title: Perfect edges and vertices Item: Title: Non-perfect edges Item: Title: Non-perfect vertices Item: Title: Obtaining the first integrals Item: Title: Final comments Item: Title: CRediT authorship contribution statement Item: Title: Declaration of competing interest Item: Title: Acknowledgments Item: Title: References Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: HWNAVD+t1-gul-symbol FontSubset: true FirstChar: 39 LastChar: 39 FontDescriptor: FontName: HWNAVD+t1-gul-symbol Flags: Symbolic FontBBox: 5, -213, 895, 789 FontFile: true ToUnicode: true Font: BaseFont: EKOGHA+t1-gul-bold FontSubset: true FirstChar: 46 LastChar: 241 FontDescriptor: FontName: EKOGHA+t1-gul-bold Flags: Symbolic FontBBox: -150, -371, 1131, 1082 FontFile: true ToUnicode: true Font: BaseFont: MRAXXL+RMTMI FontSubset: true FirstChar: 11 LastChar: 119 FontDescriptor: FontName: MRAXXL+RMTMI Flags: Symbolic FontBBox: 0, -213, 987, 680 FontFile: true ToUnicode: true Font: BaseFont: EIMATQ+MTEX FontSubset: true FirstChar: 0 LastChar: 101 FontDescriptor: FontName: EIMATQ+MTEX Flags: Symbolic FontBBox: -23, -2958, 1456, 766 FontFile: true ToUnicode: true Font: BaseFont: SVPXIN+MSBM10 FontSubset: true FirstChar: 78 LastChar: 90 FontDescriptor: FontName: SVPXIN+MSBM10 Flags: Symbolic FontBBox: -55, -420, 2343, 920 FontFile: true ToUnicode: true Font: BaseFont: HIKLWE+CMSY8 FontSubset: true FirstChar: 70 LastChar: 85 FontDescriptor: FontName: HIKLWE+CMSY8 Flags: Symbolic FontBBox: -30, -955, 1185, 779 FontFile: true ToUnicode: true Font: BaseFont: YVLRYJ+CMSY6 FontSubset: true FirstChar: 85 LastChar: 85 FontDescriptor: FontName: YVLRYJ+CMSY6 Flags: Symbolic FontBBox: -4, -948, 1329, 786 FontFile: true ToUnicode: true Font: BaseFont: EPANPA+mathb10 FontSubset: true FirstChar: 253 LastChar: 253 FontDescriptor: FontName: EPANPA+mathb10 Flags: Symbolic FontBBox: -46, -34, 1804, 1319 FontFile: true ToUnicode: true Font: BaseFont: SWTOCC+t1-gul-regular FontSubset: true FirstChar: 21 LastChar: 252 FontDescriptor: FontName: SWTOCC+t1-gul-regular Flags: Symbolic FontBBox: -115, -321, 1042, 1054 FontFile: true ToUnicode: true Font: BaseFont: USCGMP+t1-uni-regular FontSubset: true FirstChar: 46 LastChar: 119 FontDescriptor: FontName: USCGMP+t1-uni-regular Flags: Symbolic FontBBox: -168, -250, 992, 997 FontFile: true ToUnicode: true Font: BaseFont: ZGTNHM+MTSYN FontSubset: true FirstChar: 0 LastChar: 112 FontDescriptor: FontName: ZGTNHM+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile: true ToUnicode: true Font: BaseFont: MLYEVU+MSAM10 FontSubset: true FirstChar: 4 LastChar: 4 FontDescriptor: FontName: MLYEVU+MSAM10 Flags: Symbolic FontBBox: 8, -463, 1331, 1003 FontFile: true ToUnicode: true Font: BaseFont: MBZQJW+t1-gul-regular-italic FontSubset: true FirstChar: 40 LastChar: 242 FontDescriptor: FontName: MBZQJW+t1-gul-regular-italic Flags: Symbolic FontBBox: -141, -321, 1053, 1055 FontFile: true ToUnicode: true Font: BaseFont: QDTHNW+t1-gul-regular-smallcaps FontSubset: true FirstChar: 97 LastChar: 116 FontDescriptor: FontName: QDTHNW+t1-gul-regular-smallcaps Flags: Symbolic FontBBox: -115, -321, 1407, 1009 FontFile: true ToUnicode: true XMP: application/pdf Pointwise periodic maps with quantized first integrals Anna Cima Armengol Gasull Víctor Mañosa Francesc Mañosas Periodic points Pointwise periodic maps Piecewise linear maps Quantized first integrals Regular and uniform tessellations Communications in Nonlinear Science and Numerical Simulation, 108 (2022) 106150. doi:10.1016/j.cnsns.2021.106150 journal Communications in Nonlinear Science and Numerical Simulation © 2021 The Authors. Published by Elsevier B.V. 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