Polynomial and rational first integrals for planar homogeneous polynomial differential systems
In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:150716 |
| Online Access: | https://ddd.uab.cat/record/150716 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_14 |
| Access Level: | Open access |
| Keyword: | First integral Integrability problem Polynomial differential equations |
| Summary: | In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic homogeneous polynomial differential systems. |
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