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Periodic points of a Landen transformation

Author
Gasull, A.; Llorens, M.; Mañosa, V.
Type of activity
Report
Date
2018-01-12
Code
arXiv:1801.04195 [math.DS]
Project funding
Rate-dependent hysteresis: modeling, analysis and identification, with applications to magnetorheological dampers
Repository
http://hdl.handle.net/2117/112835 Open in new window
URL
https://arxiv.org/abs/1801.04195 Open in new window
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 dy...
Citation
Gasull, A., Llorens, M., Mañosa, V. "Periodic points of a Landen transformation". 2018.
Keywords
Discrete dynamical systems, Landen transformations, Periodic orbits, Periodic points, homoclinic points
Group of research
CoDAlab - Control, Dynamics and Applications

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