Resumen de On the barycenter of the tent map

Kuo-Chang Chen, Xun Dong

• It is well known that the average position or barycenter of generic orbits for the standard tent map is . Periodic orbits are exceptional orbits in the sense that most of them have barycenters different from . In this paper we prove that for any positive integer , there exist distinct periodic orbits for the standard tent map with the same barycenter. We also provide some patterns of periodic orbits with the same barycenter.