Gopal, Sharan; Imam, Faiz(Universitat Politècnica de València, 2021-10-01)
[EN] In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points ...
Conejero, J. Alberto; Martínez Jiménez, Félix; Peris Manguillot, Alfredo; Ródenas Escribá, Francisco De Asís(Springer-Verlag, 2021-02-09)
[EN] We provide a complete characterization of the possible sets of periods for Devaney chaotic linear operators on Hilbert spaces. As a consequence, we also derive this characterization for linearizable maps on Banach spaces.