Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
In this paper, we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles, and monodromic attractor graphi...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:236646 |
| Acesso em linha: | https://ddd.uab.cat/record/236646 https://dx.doi.org/urn:doi:10.1063/5.0020360 |
| Access Level: | acceso abierto |
| Palavra-chave: | Attractor set Repulsor set Jacobi multiplier Vector fields Flows Ordinary differential equations |
| Resumo: | In this paper, we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles, and monodromic attractor graphics. Taking different flows on the torus and the sphere as canonical examples of attractor/repeller sets with different topologies, several examples are constructed illustrating the results presented. |
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