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Título:
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Periodic points of a Landen transformation
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Autor/a:
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Gasull Embid, Armengol; Llorens, Mireia; Mañosa Fernández, Víctor
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
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Abstract:
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Preprint |
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Abstract:
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We prove the existence of 3-periodic orbits in a dynamical system associated to a Landen transformation previously studied by Boros, Chamberland and Moll, disproving a conjecture on the dynamics of this planar map introduced by the latter author. To this end we present a systematic methodology to determine and locate analytically isolated periodic points of algebraic maps. This approach can be useful to study other discrete dynamical systems with algebraic nature. Complementary results on the dynamics of the map associated with the Landen transformation are also presented. |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
-Differentiable dynamical systems
-Periodic points
-Periodic orbits
-Discrete dynamical systems
-Landen transformations
-homoclinic points
-Sistemes dinàmics diferenciables
-Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
-Classificació AMS::33 Special functions::33E Other special functions |
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Derechos:
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Tipo de documento:
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Artículo - Borrador
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