2 papers
math.DS2026
Shadowing and the continuity of omega-limit sets
Noriaki Kawaguchi
This paper examines the relationship between shadowing phenomena and the continuity properties of -limit sets in dynamical systems. We give a necessary and sufficient condition…
math.DS2024
Some results on s-limit shadowing and Li-Yorke type chaos
Noriaki Kawaguchi
In [13], for any continuous self-map of a compact metric space with s-limit shadowing, by using a -partition of the phase space, a global description of Li-Yorke type chaos (w…