Prime ends dynamics on invariant Peano continua Ortega Ríos, Rafael Ruiz Herrera, Alfonso Attractor Planar homeomorphism Rotation 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. 2023-11-13T11:37:55Z 2023-11-13T11:37:55Z 2023-11-01 journal article R. Ortega, A. Ruiz-Herrera. Prime ends dynamics on invariant Peano continua. Topology and its Applications 339 (2023) 10856. [https://doi.org/10.1016/j.topol.2023.108569] https://hdl.handle.net/10481/85624 10.1016/j.topol.2023.108569 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Elsevier