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12 p, 514.1 KB The secant map applied to a real polynomial with multiple roots / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
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.
2019 - 10.3934/dcds.2020133
Discrete and Continuous Dynamical Systems. Series A, vol. 40 12 2019, p. 6783-6794  
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