Quasi-Shadowing and Quasi-Stability for Dynamically Coherent Partially Hyperbolic Diffeomorphisms

Huyi Hu, Yunhua Zhou, Yujun Zhu

Let $f$ be a partially hyperbolic diffeomorphism. $f$ is called has the quasi-shadowing property if for any pseudo orbit $\{x_k{\}}_{k\in \mathbb{Z}}$, there is a sequence $\{y_k\}_{…