4 papers
A note on Bohr chaos and hyperbolic sets
Noriaki Kawaguchi
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 combi…
A note on the omega-chaos
Noriaki Kawaguchi
For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is -chaotic. We also apply the result…
Shadowing, chain transitive sets with nonempty interior and attractor boundaries
Noriaki Kawaguchi
We examine certain phenomena in -dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor bo…
On ball expanding maps
Noriaki Kawaguchi
We study the dynamical properties of ball expanding maps, a class of continuous self-maps defined on compact metric spaces. For a ball expanding map, we show that: (1) the set of p…