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Global periodicity conditions for maps and recurrences via Normal Forms

Autor
Cima, A.; Gasull, A.; Mañosa, V.
Tipus d'activitat
Document cientificotècnic
Data
2012-05-04
Codi
arXiv:1205.0923v1 [math.DS]
Projecte finançador
Análisis e identificación de sistemas con histéresis usando órbitas periódicas
CONTROL, DINÀMICA I APLICACIONS (CODALAB)
Repositori
http://hdl.handle.net/2117/15947 Obrir en finestra nova
URL
http://arxiv.org/abs/1205.0923 Obrir en finestra nova
Resum
We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of findin...
Citació
Cima, A.; Gasull, A.; Mañosa, V. "Global periodicity conditions for maps and recurrences via Normal Forms". 2012.
Grup de recerca
CoDAlab - Control, Dinàmica i Aplicacions