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: Fermi–Pasta–Ulam recurrence | Statement: [Interaction of solitons in a collisionless plasma and the recurrence of initial states, relatesTo, Fermi–Pasta–Ulam recurrence]

Target entity: Fermi–Pasta–Ulam recurrence
Context triple: [Interaction of solitons in a collisionless plasma and the recurrence of initial states, relatesTo, Fermi–Pasta–Ulam recurrence]

• A. Poincaré recurrence theorem
  The Poincaré recurrence theorem is a fundamental result in dynamical systems and ergodic theory stating that certain systems will, after a sufficiently long but finite time, return arbitrarily close to their initial state.
• B. Interaction of solitons in a collisionless plasma and the recurrence of initial states chosen
  "Interaction of solitons in a collisionless plasma and the recurrence of initial states" is a landmark 1965 paper by Norman J. Zabusky and Martin Kruskal that introduced the concept of solitons and demonstrated their particle-like interactions and recurrence behavior in nonlinear wave systems.
• C. Kolmogorov–Arnold–Moser theory
  Kolmogorov–Arnold–Moser theory is a fundamental result in dynamical systems that explains the persistence of quasi-periodic motions in nearly integrable Hamiltonian systems under small perturbations.
• D. Chaos in Classical and Quantum Mechanics
  "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
• E. On a General Method in Dynamics
  "On a General Method in Dynamics" is a foundational 19th-century paper by William Rowan Hamilton that introduced Hamiltonian mechanics, reformulating classical dynamics in terms of generalized coordinates and conjugate momenta.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.