On the indices of singular points for planar bounded piecewise smooth polynomial vector field
We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:281994 |
| Acceso en línea: | https://ddd.uab.cat/record/281994 https://dx.doi.org/urn:doi:10.1016/j.nahs.2023.101350 |
| Access Level: | acceso abierto |
| Palabra clave: | Bounded vector field Index of singular points Piecewise smooth polynomial vector field Stereographic projection |
| Sumario: | We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1. |
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