Non-wandering sets of the powers of dendrite maps

Equicontinuity of maps on a dendrite with finite branch points

“…In recent years, some properties on discrete dynamical systems on dendrites, such as the topological structure of minimal sets, the depth of the center, the topological entropies of dendrite maps, are deeply discussed by many authors (see [1,2,9,10,17,18,22,24]). The interest in these subjects is motivated in part by the fact that dendrites appear as Julia sets in complex dynamics (see [4,19]).…”