Specification and ω-chaos in non-compact systems
In this paper, we demonstrate conditions under which a Lindelöf dynamical system exhibits ω -chaos. In particular, if a system exhibits a generalized version of the specification property and has at least three points with mutually separated orbit closures, then the system exhibits dense ω -chaos.
Authors
- Cordell Hammon
- Jasmin Mohn
- Brian Raines
- Jonathan Meddaugh
Institutions
- Baylor University (US)
- United States Military Academy (US)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2024-10-09
- DOI
- https://doi.org/10.1016/j.jmaa.2024.128944
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation