Dynamics and indecomposable inverse limit spaces of maps on finite graphs (Q1210360)

The author obtains the following results: If the map has a dense orbit on a finite tree then the map is chaotic. Also, if the map on a finite tree has a dense orbit or a homoclinic orbit or periodic points of certain prescribed periods then the associated inverse limit space must contain indecomposable subcontinua. Finally, it is shown that if a map on a finite graph has a set of periodic points of prescribed periods depending on the geometry of the finite graph, then the inverse limit space again must contain an indecomposable subcontinuum.