We study the tree models of mildly dissipative diffeomorphisms on the disk D. This models, are one dimensional dynamical systems with the ergodic aperiodic data as well as some properties of the original dynamics. Our focus in this work is their quality as dynamical invariant in both the topological and the ergodic sense.
Mathematics Subject Classification (2020) MSC 37C15 · MSC 37D25 · MSC 37D45 · MSC 37E25