Periodic points of a Landen transformation
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llorens, Mireia (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Date:	2018
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad DPI2016-77407-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Landen transformation ; Periodic points ; Poincaré-Miranda theorem
Published in:	Communications in nonlinear science and numerical simulation, Vol. 64 (Nov. 2018) , p. 232-245, ISSN 1007-5704

DOI: 10.1016/j.cnsns.2018.04.020

Postprint 22 p, 627.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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