Abstract
In this paper, we find additional conditions to be satisfied by a globally periodic discrete dynamical system, so that its good set (the set of initial conditions providing well-defined solutions) is an open set of ℝ k or ℂ k . We will pay especial attention to the rational case and several examples will be given.
Acknowledgements
I would like to thank the referee for his/her helpful advice on the paper. The author is partially supported by Ministerio de Educacion y Ciencia through grant DPI2005-08-668-C03-01. CoDALab group is supported by Generalitat de Catalunya's SGR program.