Work

Specification and ω-chaos in non-compact systems

Year: 2024

Type: article

Abstract: 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.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.128944

Authors: Cordell Hammon, Jonathan Meddaugh, Jasmin Mohn, Brian E. Raines

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funder: Simons Foundation

Award: G6591824517