On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems
We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:232598 |
| Acceso en línea: | https://ddd.uab.cat/record/232598 https://dx.doi.org/urn:doi:10.2140/pjm.2020.306.611 |
| Access Level: | acceso abierto |
| Palabra clave: | Centers Configuration of centers Cubic polynomial differential systems Hamiltonian system Kolmogorov system |
| Sumario: | We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most four families of level ovals in R2 for all real parameters a,b,c,d,e,f and h. |
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