Garijo Real, AntonioJarque i Ribera, Xavier2023-07-052023-07-052020-081078-0947https://hdl.handle.net/2445/200327We 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 $d$.12 p.application/pdfeng(c) American Institute of Mathematical Sciences (AIMS), 2020Teoria de la bifurcacióSistemes dinàmics diferenciablesBifurcation theoryDifferentiable dynamical systemsThe secant applied to a real polynomial with multiple rootsinfo:eu-repo/semantics/article6959942023-07-05info:eu-repo/semantics/openAccess