Definition of Poincaré map in English:
Poincaré map
noun
1Mathematics Physics
A representation of the phase space of a dynamic system, indicating all possible trajectories.- 1.1The 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.’
- 1.1The intersection of a Poincaré map representation with a given line, plane, etc.
Pronunciation
Origin
1950s from the name of the French mathematician and philosopher of science Jules-Henri Poincaré (1854–1912).
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