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Periodic points of a Landen transformation

Autor
Gasull, A.; Llorens, M.; Mañosa, V.
Tipus d'activitat
Article en revista
Revista
Communications in nonlinear science and numerical simulation
Data de publicació
2018-11
Volum
64
Pàgina inicial
232
Pàgina final
245
DOI
https://doi.org/10.1016/j.cnsns.2018.04.020 Obrir en finestra nova
Projecte finançador
Histeresis con dependencia de tasa: modelado, análisis, e identificación, con aplicaciones a los amortiguadores magnetoreologicos
Repositori
http://hdl.handle.net/2117/117414 Obrir en finestra nova
https://arxiv.org/abs/1801.04195 Obrir en finestra nova
URL
https://www.sciencedirect.com/science/article/pii/S100757041830131X Obrir en finestra nova
Resum
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 dy...
Paraules clau
Landen transformations, Periodic points, Poincaré-Miranda theorem
Grup de recerca
CoDAlab - Control, Modelització, Identificació i Aplicacions

Participants