A map on the space of rational functions

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We describe dynamical properties of a map $\mathfrak{F}$ defined on the space of rational functions. The fixed points of $\mathfrak{F}$ are classified and the long time behavior of a subclass is described in terms of Eulerian polynomials.

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Classical Analysis and ODEs, Algebraic Geometry, Dynamical Systems, 26C15

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http://salesiana.dossiersoluciones.com/handle/123456789/68250

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308039
 http://arxiv.org/abs/math/0308039

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arXiv