Poincaré map

Target entity: Poincaré map
Context triple: [Henri Poincaré, notableWork, Poincaré map]

• A. Gauss map
  The Gauss map is a differential geometry concept that assigns to each point on a surface the corresponding point on the unit sphere determined by the surface’s normal vector at that point.
• B. Mapam
  Mapam was a left-wing socialist Zionist political party in Israel that played a significant role in the early decades of the state, particularly within the kibbutz movement and peace-oriented politics.
• C. Ulam spiral
  The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
• D. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• E. #MAPA
  #MAPA is a hashtag used within the Fridays for Future movement to highlight and organize climate activism by communities in the Most Affected People and Areas.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Poincaré map
Target entity description: The Poincaré map is a mathematical tool in dynamical systems theory that reduces continuous-time dynamics to a discrete map by tracking intersections of trajectories with a lower-dimensional surface.

• A. Gauss map
  The Gauss map is a differential geometry concept that assigns to each point on a surface the corresponding point on the unit sphere determined by the surface’s normal vector at that point.
• B. Mapam
  Mapam was a left-wing socialist Zionist political party in Israel that played a significant role in the early decades of the state, particularly within the kibbutz movement and peace-oriented politics.
• C. Ulam spiral
  The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
• D. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• E. #MAPA
  #MAPA is a hashtag used within the Fridays for Future movement to highlight and organize climate activism by communities in the Most Affected People and Areas.
• F. None of above. chosen