Invariant curves and integrability of planar Cr differential systems
We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on s...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:221313 |
| Online Access: | https://ddd.uab.cat/record/221313 https://dx.doi.org/urn:doi:10.1216/RMJ-2018-48-5-1537 |
| Access Level: | Open access |
| Keyword: | Planar differential system Cr function Invariant curve Exponential factor Cofactor Darboux theory of integrability |
| Summary: | We improve the known expressions of the Cr differential systems in the plane having a given Cr+1 invariant curve, or a given Cr+1 first integral. Their application to polynomial differential systems having either an invariant algebraic curve, or a first integral, also improves the known results on such systems. |
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