Abstract (EN):
For a map f : I -> I, a point x is an element of I is periodic with period p is an element of N if f(P) (x) = x and f(j) (x) not equal x for all 0 < j < p. When f is continuous and I is an interval, a theorem due to Sharkovskii ([1]) states that there is an order in N, say (sic), such that if f has a periodic point of period p and p (sic) q, then f also has a periodic point of period q. In this work, we will see how an extension of the order (sic) to sequences of positive integers yields a Sharkovskii-type result for non-wandering points of f.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Contacto:
mpcarval@fc.up.pt; fsmoreir@fc.up.pt
Nº de páginas:
7