5c7d7eba46fbf26fa1d3a75ff10d689b s40863-024-00471-2.pdf 4a3399b9e37f61dd1cc572ca25a17c6111a7ed51 s40863-024-00471-2.pdf ffb4faf866b6384ae70ecd88468a152ec4ce030f1fff99c4a136d6bc4ff36a2f s40863-024-00471-2.pdf Title: From Abel’s differential equations to Hilbert’s 16th problem Subject: São Paulo Journal of Mathematical Sciences, https://doi.org/10.1007/s40863-024-00471-2 Keywords: Polynomial differential equation; Periodic orbit; Limit cycle; Hilbert’s 16 h problem; Riccati’s equation; Abel’s equation Author: Armengol Gasull Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Sat Sep 28 07:34:09 2024 CEST ModDate: Sat Sep 28 07:37:47 2024 CEST Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: none JavaScript: no Pages: 38 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 2554683 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ 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CropBox PageClip: CropBox PageLayout: SinglePage PageMode: UseOutlines Language: EN Outlines: Item: Title: From Abel’s differential equations to Hilbert’s 16th problem Children: Item: Title: Abstract Item: Title: 1 Introduction Item: Title: 2 Main goal Item: Title: 3 From linear to Abel’s differential equations Children: Item: Title: 3.1 Linear differential equations Item: Title: 3.2 Riccati’s differential equations Item: Title: 3.3 Abel’s differential equations Item: Title: 4 Some results on Abel’s equations Children: Item: Title: 4.1 Results that bound the number of limit cycles for Abel’s differential equations Item: Title: 4.2 Abel’s differential equations with many limit cycles Item: Title: 5 Some relations between Abel’s equations and Hilbert’s 16th problem Item: Title: Acknowledgements Item: Title: References Info: Title: From Abel’s differential equations to Hilbert’s 16th problem Author: Armengol Gasull Subject: São Paulo Journal of Mathematical Sciences, https://doi.org/10.1007/s40863-024-00471-2 Keywords: Polynomial differential equation; Periodic orbit; Limit cycle; Hilbert’s 16 h problem; Riccati’s equation; Abel’s equation Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Sat Sep 28 08:04:09 CEST 2024 ModDate: Sat Sep 28 08:07:47 CEST 2024 ID: 0xa0520941dcb3f842a9ed9105a8db429b, 0x3a593a2dcd99bb4c9976f0bc3d263bea Filters: FilterPipeline: FlateDecode FilterPipeline: DCTDecode Images: Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 945 ImageHeight: 531 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Intent: RelativeColorimetric Name: X Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 945 ImageHeight: 522 ColorSpace: RGB BitsPerSample: 8 BitsPerSampleUnit: integer Intent: RelativeColorimetric Name: X Image: NisoImageMetadata: FormatName: image/jpg CompressionScheme: JPEG ImageWidth: 945 ImageHeight: 320 ColorSpace: RGB 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