Work

The central shadowing property and the Lipschitz product structure for partially hyperbolic diffeomorphisms

Year: 2025

Type: article

Abstract: Let $ M $ be a Riemannian manifold (not necessarily compact) and $ f:M\to M $ be a partially hyperbolic diffeomorphism with the dynamical coherence. In this paper, we investigate the dynamics of the central shadowing property for $ f $ on $ M $. We demonstrate that every partially hyperbolic diffeomorphism with the Lipschitz product structure admits the central shadowing property.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2025139

Authors: Hahng-Yun Chu, Se-Hyun Ku, Sang Hong Van Nguyen

Institution: Chungnam National University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Chungnam National University

OpenAlex ID: W4413894339

FWCI: 1.608

Cites: 15

Cited by: 1

Related to: 10