TY - JOUR A1 - García Guirao, Juan Luis AU - Llibre i Saló, Jaume T1 - Topological entropy and periods of self–maps on compact manifolds Y1 - 2017 SN - 0362-1588 UR - http://hdl.handle.net/10317/8503 AB - Let (M; f) be a discrete dynamical system induced by a self{map f defined on a smooth compact connected n{dimensional manifold M. We provide sufficient conditions in terms of the Lefschetz zeta function in order that: (1) f has positive topological entropy when f is C1, and (2) f has infinitely many periodic points when f is C1 and f(M) ⊆ Int(M). Moreover, for the particular manifolds Sn, Sn x Sm, CPn and HPn we improve the previous sufficient conditions. KW - Matemática Aplicada KW - Compact manifold KW - Topological entropy KW - Discrete dynamical systems KW - Lefschetz numbers KW - Lefschetz zeta function KW - Periodic point KW - 12 Matemáticas LA - eng PB - Department of Mathematics, University of Houston ER -