@misc{10481/85624, year = {2023}, month = {11}, url = {https://hdl.handle.net/10481/85624}, abstract = {The dynamics of a planar homeomorphism h is simple on any non-separating Peano continuum K that is invariant under h. This means that all limit sets on K are either fixed points or periodic orbits. The map h induces a homeomorphism h* on the space of prime ends associated to K. The goal of this paper is to show that in some cases the dynamics on prime ends can have a certain complexity. We construct a dissipative homeomorphism with attractor K and h* a Denjoy map.}, organization = {Spanish Government MICINN PID2021-128418NA-I00}, publisher = {Elsevier}, keywords = {Attractor}, keywords = {Planar homeomorphism}, keywords = {Rotation}, title = {Prime ends dynamics on invariant Peano continua}, doi = {10.1016/j.topol.2023.108569}, author = {Ortega RĂ­os, Rafael and Ruiz Herrera, Alfonso}, }