d25c8344f1e544ceef4fda092b343823 chasolfra_a2023m2v167p113013.pdf 8be9be409ff09403fa86e58d70231da76eb3950f chasolfra_a2023m2v167p113013.pdf 39bbfbb36b724710a4361447bfc7a5bc8d1ded0c73902d553e562cefbb66ef2a chasolfra_a2023m2v167p113013.pdf Title: The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations Subject: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 167 (2023) 113013. doi:10.1016/j.chaos.2022.113013 Keywords: Liénard equation,Rational first integral,Poincaré problem,Polynomial differential equation Author: Jaume Giné Creator: Elsevier Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Mon Jan 23 12:53:21 2023 CET ModDate: Mon Jan 23 15:45:56 2023 CET Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 4 Encrypted: no Page size: 595.276 x 793.701 pts Page rot: 0 File size: 577716 bytes Optimized: yes PDF version: 1.7 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- CYOSLI+STIXMathCalligraphy-Regular Type 1 Builtin yes yes yes 335 0 OBSGQT+STIXMath-Italic Type 1 Builtin yes yes yes 339 0 VHVHWL+STIXMathSans-Regular Type 1 Builtin yes yes yes 343 0 PKMWFM+MSBM7 Type 1 Builtin yes yes yes 347 0 JVQUOH+MSBM10 Type 1 Builtin yes yes yes 351 0 VBVNGN+CharisSIL-Italic Type 1 Builtin yes yes yes 355 0 PFUYCM+t1-uni-regular Type 1 Builtin yes yes yes 359 0 YHFXJW+CharisSIL-Bold Type 1 Builtin yes yes yes 363 0 PAESEK+CharisSIL Type 1 Builtin yes yes yes 367 0 MFHYHB+STIXMath-Regular Type 1 Builtin yes yes yes 371 0 RYIAIO+CharisSIL CID TrueType Identity-H yes yes yes 326 0 EAXERX+STIXMathExtensions-Regular Type 1 Builtin yes yes yes 176 0 PXFDGF+STIXMathFraktur-Regular Type 1 Builtin yes yes yes 7 0 VSIOWU+STIXMathScript-Regular Type 1 Builtin yes yes yes 180 0 OKNCBU+CharisSIL-Italic CID TrueType Identity-H yes yes yes 169 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2024-11-21 02:49:38 CET RepresentationInformation: chasolfra_a2023m2v167p113013.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2024-11-20 15:06:47 CET Size: 577716 Format: PDF Version: 1.7 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 442 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: en-US Outlines: Item: Title: The solution of the Poincare problem on the rational first integral for the Lienard polynomial differential equations Children: Item: Title: Introduction and statement of the main results Item: Title: Proofs of ?? Item: Title: CRediT authorship contribution statement Item: Title: Declaration of Competing Interest Item: Title: Data availability Item: Title: Acknowledgments Item: Title: References Info: Title: The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations Author: Jaume Giné Subject: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 167 (2023) 113013. doi:10.1016/j.chaos.2022.113013 Keywords: Liénard equation,Rational first integral,Poincaré problem,Polynomial differential equation Creator: Elsevier Producer: Acrobat Distiller 8.1.0 (Windows) CreationDate: Mon Jan 23 12:53:21 CET 2023 ModDate: Mon Jan 23 15:45:56 CET 2023 ID: 0x86350dcb371c25c3d561e7cef4223559, 0x636f97f84bd52dafa2591122c00c72c8 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: VBVNGN+CharisSIL-Italic FontSubset: true FirstChar: 44 LastChar: 242 FontDescriptor: FontName: VBVNGN+CharisSIL-Italic Flags: Symbolic FontBBox: -1467, -1092, 6262, 2600 FontFile: true ToUnicode: true Font: BaseFont: PFUYCM+t1-uni-regular FontSubset: true FirstChar: 46 LastChar: 119 FontDescriptor: FontName: PFUYCM+t1-uni-regular Flags: Symbolic FontBBox: -168, -250, 992, 997 FontFile: true ToUnicode: true Font: BaseFont: PXFDGF+STIXMathFraktur-Regular FontSubset: true FirstChar: 228 LastChar: 228 FontDescriptor: FontName: PXFDGF+STIXMathFraktur-Regular Flags: Symbolic FontBBox: 0, -300, 1519, 1003 FontFile: true ToUnicode: true Font: BaseFont: YHFXJW+CharisSIL-Bold FontSubset: true FirstChar: 46 LastChar: 233 FontDescriptor: FontName: YHFXJW+CharisSIL-Bold Flags: Symbolic FontBBox: -1475, -1092, 6144, 2600 FontFile: true ToUnicode: true Font: BaseFont: CYOSLI+STIXMathCalligraphy-Regular FontSubset: true FirstChar: 67 LastChar: 202 FontDescriptor: FontName: CYOSLI+STIXMathCalligraphy-Regular Flags: Symbolic FontBBox: -53, -455, 1965, 2157 FontFile: true ToUnicode: true Font: BaseFont: PAESEK+CharisSIL FontSubset: true FirstChar: 21 LastChar: 243 FontDescriptor: FontName: PAESEK+CharisSIL Flags: Symbolic FontBBox: -1418, -1092, 6144, 2600 FontFile: true ToUnicode: true Font: BaseFont: EAXERX+STIXMathExtensions-Regular FontSubset: true FirstChar: 0 LastChar: 249 FontDescriptor: FontName: EAXERX+STIXMathExtensions-Regular Flags: Symbolic FontBBox: 15, -3009, 1503, 959 FontFile: true ToUnicode: true Font: BaseFont: MFHYHB+STIXMath-Regular FontSubset: true FirstChar: 42 LastChar: 203 FontDescriptor: FontName: MFHYHB+STIXMath-Regular Flags: Symbolic FontBBox: -970, -341, 1096, 1023 FontFile: true ToUnicode: true Font: BaseFont: OBSGQT+STIXMath-Italic FontSubset: true FirstChar: 22 LastChar: 135 FontDescriptor: FontName: OBSGQT+STIXMath-Italic Flags: Symbolic FontBBox: -124, -478, 2328, 819 FontFile: true ToUnicode: true Font: BaseFont: VSIOWU+STIXMathScript-Regular FontSubset: true FirstChar: 53 LastChar: 184 FontDescriptor: FontName: VSIOWU+STIXMathScript-Regular Flags: Symbolic FontBBox: 0, -324, 1229, 830 FontFile: true ToUnicode: true Font: BaseFont: VHVHWL+STIXMathSans-Regular FontSubset: true FirstChar: 153 LastChar: 153 FontDescriptor: FontName: VHVHWL+STIXMathSans-Regular Flags: Symbolic FontBBox: -124, -232, 1151, 819 FontFile: true ToUnicode: true Font: BaseFont: PKMWFM+MSBM7 FontSubset: true FirstChar: 82 LastChar: 82 FontDescriptor: FontName: PKMWFM+MSBM7 Flags: Symbolic FontBBox: -45, -504, 2613, 1004 FontFile: true ToUnicode: true Font: BaseFont: JVQUOH+MSBM10 FontSubset: true FirstChar: 82 LastChar: 90 FontDescriptor: FontName: JVQUOH+MSBM10 Flags: Symbolic FontBBox: -55, -420, 2343, 920 FontFile: true ToUnicode: true XMP: http://creativecommons.org/licenses/by/4.0/ elsevier.com sciencedirect.com true 10.1016/j.chaos.2022.113013 2010-04-23 application/pdf 10.1016/j.chaos.2022.113013 Elsevier Ltd Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 167 (2023) 113013. doi:10.1016/j.chaos.2022.113013 Liénard equation Rational first integral Poincaré problem Polynomial differential equation The solution of the Poincaré problem on the rational first integral for the Liénard polynomial differential equations Jaume Giné Jaume Llibre VoR 23rd January 2023 Acrobat Distiller 8.1.0 (Windows) Liénard equation,Rational first integral,Poincaré problem,Polynomial differential equation 23rd January 2023 sciencedirect.com elsevier.com true 2010-04-23 10.1016/j.chaos.2022.113013 noindex journal © 2022 The Author(s). Published by Elsevier Ltd. 2023-02-01 1 February 2023 10.1016/j.chaos.2022.113013 0960-0779 113013 Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena 113013 https://doi.org/10.1016/j.chaos.2022.113013 167 2023-01-23T11:53:21 Elsevier 2023-01-23T14:45:56 2023-01-23T14:45:56 uuid:1b499bed-4ce8-4c0c-b682-0d58baae1cbe uuid:b6ed5266-03cb-4855-90c0-636283357f42 True Pages: Page: Label: 1 Annotations: Annotation: Subtype: Link Rect: 321, 724, 369, 730 Flags: Print Annotation: Subtype: Link Rect: 276, 668, 395, 675 Flags: Print Annotation: Subtype: Link Rect: 94, 584, 97, 588 Flags: Print ActionDest: 300 Annotation: Subtype: Link Rect: 100, 585, 104, 589 Flags: Print ActionDest: 300 Annotation: Subtype: Link Rect: 171, 584, 175, 589 Flags: Print ActionDest: 300 Annotation: Subtype: Link Rect: 107, 335, 112, 343 Flags: Print ActionDest: 300 Annotation: Subtype: Link Rect: 176, 324, 180, 332 Flags: Print ActionDest: 300 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