Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Henon map | Statement: [chaos theory, coreExample, Henon map]

Target entity: Henon map
Context triple: [chaos theory, coreExample, Henon map]

• A. Arnold cat map
  The Arnold cat map is a famous example of a chaotic, area-preserving transformation on the torus that illustrates how simple deterministic rules can produce complex, seemingly random behavior.
• B. Lorenz attractor
  The Lorenz attractor is a famous chaotic set arising from a simplified model of atmospheric convection, known for its butterfly-shaped trajectory and role as an early example of deterministic chaos in dynamical systems.
• C. Lyapunov fractal
  The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
• D. Smale horseshoe
  The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
• E. Poincaré map
  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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Henon map
Target entity description: The Hénon map is a classic two-dimensional discrete-time dynamical system that exhibits chaotic behavior and is widely studied as a simple model of strange attractors in nonlinear dynamics.

• A. Arnold cat map
  The Arnold cat map is a famous example of a chaotic, area-preserving transformation on the torus that illustrates how simple deterministic rules can produce complex, seemingly random behavior.
• B. Lorenz attractor
  The Lorenz attractor is a famous chaotic set arising from a simplified model of atmospheric convection, known for its butterfly-shaped trajectory and role as an early example of deterministic chaos in dynamical systems.
• C. Lyapunov fractal
  The Lyapunov fractal is a complex, self-similar pattern arising from iterating logistic maps with periodically varying parameters, used to visualize stability and chaos in dynamical systems.
• D. Smale horseshoe
  The Smale horseshoe is a fundamental example in dynamical systems theory that illustrates chaotic behavior through a specific stretching-and-folding map of a square into a horseshoe-shaped region.
• E. Poincaré map
  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.
• F. None of above. chosen