Year: 2011
Type: preprint
Abstract: Let $ϕ$ be the flow generated by a smooth vector field $X$ on a smooth closed manifold. We show that the Lipschitz shadowing property of $ϕ$ is equivalent to the structural stability of $X$ and that the Lipschitz periodic shadowing property of $ϕ$ is equivalent to the $Ω$-stability of $X$.
Source: arXiv (Cornell University)
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2131761913