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Article

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Accepted version

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2020-08

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/200327

The secant applied to a real polynomial with multiple roots

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https://doi.org/10.3934/dcds.2020133

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 $d$.

Subject

Teoria de la bifurcació, Sistemes dinàmics diferenciables

Subject (English)

Bifurcation theory, Differentiable dynamical systems

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

GARIJO REAL, Antonio and JARQUE I RIBERA, Xavier. The secant applied to a real polynomial with multiple roots. Discrete and Continuous Dynamical Systems-Series A. 2020. Vol. 40, num. 12, pags. 6783-6794. ISSN 1078-0947. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/200327

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