A note on Bohr chaos and hyperbolic sets
Abstract
This paper studies the relationship between shadowing phenomena and Bohr chaos in dynamical systems. We provide sufficient conditions for Bohr chaos in terms of shadowing. By combining those conditions with the shadowing lemma, we obtain some results on Bohr chaos and hyperbolic sets. Our results also highlight some simple but non-trivial structural properties of hyperbolic sets.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Topology and Set Theory
Advanced Differential Equations and Dynamical Systems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 11 January 2026
- Document type
- Preprint