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https://hdl.handle.net/2445/200327| Title: | The secant applied to a real polynomial with multiple roots |
| Author: | Garijo Real, Antonio Jarque i Ribera, Xavier |
| Keywords: | Teoria de la bifurcació Sistemes dinàmics diferenciables Bifurcation theory Differentiable dynamical systems |
| Issue Date: | Aug-2020 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Abstract: | 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 $d$. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2020133 |
| It is part of: | Discrete and Continuous Dynamical Systems-Series A, 2020, vol. 40, num. 12, p. 6783-6794 |
| URI: | https://hdl.handle.net/2445/200327 |
| Related resource: | https://doi.org/10.3934/dcds.2020133 |
| ISSN: | 1078-0947 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 695994.pdf | 492.96 kB | Adobe PDF | View/Open |
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