time-one map

English

Noun

time-one map

1. (mathematics, topology) 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.
   • 1995, Anne Marie Wilkinson, Stable Ergodicity of the Time-one Map of a Geodesic Flow, page 12:

     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."

   Synonym: time-one mapping