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The secant map applied to a real polynomial with multiple roots (1907.09323v1)
Published 22 Jul 2019 in math.DS
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 associated to the roots of $p$ depend on the parity of $d$.
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