time-one map noun1 •A type of diffeomorphism that represents the evolution of a dynamical system over a unit time interval, where each point in the system's phase space is mapped to another point after one unit of time has passed.In [5], Brin and Pesin investigated the dynamical properties of diffeomorphisms like the time-one map of an Anosov flow, which they called "partially hyperbolic." — 1995