Global periodicity and openness of the set of solutions for discrete dynamical systems |
| |
| Authors: | J Rubió-Massegú |
| |
| Institution: | 1. Control, Dynamics and Applications Group (CoDALab), Departament de Matemàtica Aplicada III , Universitat Politècnica de Catalunya , Manresa, Spain josep.rubio@upc.edu |
| |
| 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 ? k or ? k . We will pay especial attention to the rational case and several examples will be given. |
| |
| Keywords: | discrete dynamical systems difference equations existence of solutions forbidden set |
|
|
