Definition of Poincaré map in English:

Poincaré map


Physics Mathematics
  • 1A representation of the phase space of a dynamic system, indicating all possible trajectories.

    1. 1.1 The intersection of a Poincaré map representation with a given line, plane, etc.
      • ‘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.’


1950s: from the name of the French mathematician and philosopher of science Jules-Henri Poincaré (1854–1912).