Periodic attractors of perturbed one-dimensional maps

By Oleg Kozlovski. Ergodic Theory and Dynamical Systems, 2013

212 citations recorded by the source corpus.

Abstract In this paper we investigate how many periodic attractors maps in a small neighbourhood of a given map can have. For this purpose we develop new tools which help to make uniform cross-ratio distortion estimates in a neighbourhood of a map with degenerate critical points.

Subfields: Computer Networks and Communications, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4bb469b944c715ecd2c2d9c93726001a63010172

Citations in the corpus

• Definably amenable NIP groups (2015, unknown): “a model-theoretic version of tame dynamics, as studied by Glasner, Megrelishvili and others, see [Gla07b] (in fact, we have discovered this connection only after the work presented here was essentially completed).”