Definition of Poincaré map in English:

Poincaré map

Line breaks: Poin|caré map

noun

Mathematics & Physics
  • 1A representation of the phase space of a dynamic system, indicating all possible trajectories.
  • 1.1 (also Poincaré section) The intersection of a Poincaré map representation with a given line, plane, etc..
    More example sentences
    • The resulting plot, known as a Poincaré section, shows points scattered across the plane - like bullets puncturing a sheet of paper.
    • This is called a Poincaré section (above right), and the intersections of the red and green lines mark the locations and speeds at which one can segue from manifold to manifold for free.

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Word of the day coloratura
Pronunciation: ˌkələrəˈto͝orə
noun
elaborate ornamentation of a vocal melody