Poincaré map

noun

The intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system.

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Meanings

nounPoincaré map (plural Poincaré maps)

plural Poincaré maps

  1. mathematicsThe intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace (the Poincaré section), transversal to the flow of the system.

Origin

Named after Henri Poincaré.

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Cite this entry
APA

Poincaré map. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Poincar%C3%A9%20map

MLA

“Poincaré map.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Poincar%C3%A9%20map. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Poincaré map,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Poincar%C3%A9%20map.

Source: Poincaré map on Wiktionary, CC BY-SA 4.0.