Abstract:

Some dynamical properties of p-adic system and the setvalued maps induced by p-adic maps were considered. With the help of the relation of the base system and its hyperspace system, a class of setvalued maps of p-adic system was proved to be continuous and isometric. Furthermore, it was proved that the setvalued maps have 0 topological entropy and are not Li-Yorke chaotic.

Key words: adic system, setvalued maps, topological entropy, Li-Yorke chaos