  We provide a new universal real flow of the Hilbert-cubical type. We prove
that any real flow can be equivariantly embedded in the translation on
$L(\mathbb{R})^\mathbb{N}$, where $L(\mathbb{R})$ denotes the space of
$1$-Lipschitz functions $f:\mathbb{R}\to[0,1]$. Furthermore, all those
functions in $L(\mathbb{R})^\mathbb{N}$ that are images of such embeddings can
be chosen as $C^1$-functions.

Dynamical Systems