dc.contributor.author |
Gasull, Armengol |
dc.contributor.author |
Llorens, Mireia |
dc.contributor.author |
Mañosa Fernández, Víctor |
dc.date |
2018 |
dc.identifier |
https://ddd.uab.cat/record/199367 |
dc.identifier |
urn:10.1016/j.cnsns.2018.04.020 |
dc.identifier |
urn:oai:ddd.uab.cat:199367 |
dc.identifier |
urn:gsduab:4633 |
dc.identifier |
urn:articleid:10075704v64p232 |
dc.identifier |
urn:scopus_id:85046630966 |
dc.identifier |
urn:wos_id:000434800900015 |
dc.identifier |
urn:oai:egreta.uab.cat:publications/e3c3bf13-3cb6-4cd3-a657-f8e45243509c |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2016-77278-P |
dc.relation |
Ministerio de Economía y Competitividad DPI2016-77407-P |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 |
dc.relation |
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388 |
dc.relation |
Communications in nonlinear science and numerical simulation ; Vol. 64 (Nov. 2018), p. 232-245 |
dc.rights |
open access |
dc.rights |
Tots els drets reservats. |
dc.rights |
https://rightsstatements.org/vocab/InC/1.0/ |
dc.subject |
Landen transformation |
dc.subject |
Periodic points |
dc.subject |
Poincaré-Miranda theorem |
dc.title |
Periodic points of a Landen transformation |
dc.type |
Article |
dc.description.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. |