The secant applied to a real polynomial with multiple roots
We investigate the plane dynamical system given by the secant map applied to a polynomial $p$ having at least one multiple root of multiplicity $d>1$. We prove that the local dynamics around the fixed points related to the roots of $p$ depend on the parity of $d$.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/200327 |
| Acceso en línea: | https://hdl.handle.net/2445/200327 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de la bifurcació Sistemes dinàmics diferenciables Bifurcation theory Differentiable dynamical systems |
| Sumario: | We investigate the plane dynamical system given by the secant map applied to a polynomial $p$ having at least one multiple root of multiplicity $d>1$. We prove that the local dynamics around the fixed points related to the roots of $p$ depend on the parity of $d$. |
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