Shadowable Diffeomorphisms With Dominated Splitting
Year: 2026
Type: article
Abstract: We study the shadowability for diffeomorphisms with dominated splitting. In this paper we show that if a diffeomorphism f has a periodic saddle q whose unstable manifold is compatible with dominated splitting in some sense and if f is shadowable, then any other periodic point p has a large local stable set. Our result does not require the hyperbolicity of p.
Source: Journal of Stochastic Analysis
DOI: 10.31390/josa.7.4.02
Author: Naoya Sumi
Institution: Kumamoto University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224381742