Prevalence of Delay Embeddings with a Fixed Observation Function

Raymundo Navarrete, Divakar Viswanath

Let $x_{j+1}=\varphi (x_j)$, $x_j\in {\mathbb{R}}^d$, be a dynamical system with $\varphi$ being a diffeomorphism. Although the state vector $x_j$ is often unobservable, the dynamics can b…