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Noun

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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.
    Synonym: time-one mapping
    • 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."
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