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| Pàgina inicial > Articles > Articles publicats > Darboux theory of integrability for real polynomial vector fields on Sⁿ |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Data: | 2018 |
| Resum: | This is a survey on the Darboux theory of integrability for polynomial vector fields, first in Rⁿ and second in the n-dimensional sphere Sⁿ. We also provide new results about the maximum number of invariant parallels and meridians that a polynomial vector field X on Sⁿ can have in function of its degree. These results in some sense extend the known result on the maximum number of hyperplanes that a polynomial vector field Y in Rⁿ can have in function of the degree of Y. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Darboux integrability theory ; Invariant meridian ; Invariant parallel ; N-dimensional spheres |
| Publicat a: | Dynamical Systems, 2018, p. 1-14, ISSN 1468-9375 |
14 p, 779.1 KB |
