We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Bohr chaoticity of topological dynamical systems.
- Authors
Fan, Aihua; Fan, Shilei; Ryzhikov, Valery V.; Shen, Weixiao
- Abstract
We introduce the notion of Bohr chaoticity, which is a topological invariant for topological dynamical systems, and which means that the system is not orthogonal to any non-trivial weights. We prove the Bohr chaoticity for all systems which have a horseshoe and for all toral affine dynamical systems of positive entropy, some of which don't have a horseshoe.
- Subjects
DYNAMICAL systems; TOPOLOGICAL property; POSITIVE systems; HORSESHOES; ENTROPY
- Publication
Mathematische Zeitschrift, 2022, Vol 302, Issue 2, p1127
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-022-03093-6