On the number of equivalence classes of attracting dynamical systems.

Autor: Svensson, Per-Anders, Nyqvist, Robert
Zdroj: P-Adic Numbers, Ultrametric Analysis & Applications; Sep2009, Vol. 1 Issue 3, p264-270, 7p
Abstrakt: We study discrete dynamical systems of the kind h( x) = x + g( x), where g( x) is amonic irreducible polynomial with coefficients in the ring of integers of a p-adic field K. The dynamical systems of this kind, having attracting fixed points, can in a natural way be divided into equivalence classes, and we investigate whether something can be said about the number of those equivalence classes, for a certain degree of the polynomial g( x). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index