2 citations · 3 across the 12 of their papers we have counts for
13 papers
Shadowing, sensitivity and entropy points
Noriaki Kawaguchi
For continuous self-maps of compact metric spaces, we explore the relationship among the shadowable points, sensitive points, and entropy points. Specifically, we show that (1) if…
Sufficient conditions for distributional chaos of type I
Noriaki Kawaguchi
Distributional chaos of type I (DC1) is a stronger variant of Li-Yorke chaos. In this paper, we consider the fact that the time-one map of a mixing Anosov flow exhibits DC1 and gen…
Shadowing and the basins of terminal chain components
Noriaki Kawaguchi
We provide an alternative view of some results in [1, 3, 11]. In particular, we prove that (1) if a continuous self-map of a compact metric space has the shadowing, then the union…
Contractive shadowing property of dynamical systems
Noriaki Kawaguchi
For topological dynamical systems defined by continuous self-maps of compact metric spaces, we consider the contractive shadowing property, i.e., the Lipschitz shadowing property s…
Some results on shadowing and local entropy properties of dynamical systems
Noriaki Kawaguchi
We consider some local entropy properties of dynamical systems under the assumption of shadowing. In the first part, we give necessary and sufficient conditions for shadowable poin…
S-limit shadowing and a global description of Li-Yorke type chaos
Noriaki Kawaguchi
For any continuous self-map of a compact metric space, we extend a partition of each chain component with respect to a chain proximal relation to a -partition of the phase spa…