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: Arnold diffusion | Statement: [Kolmogorov–Arnold–Moser theory, relatedTo, Arnold diffusion]

Target entity: Arnold diffusion
Context triple: [Kolmogorov–Arnold–Moser theory, relatedTo, Arnold diffusion]

• A. 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.
• B. Liouville–Arnold theorem
  The Liouville–Arnold theorem is a fundamental result in Hamiltonian mechanics that guarantees the integrability of a system with sufficiently many conserved quantities and describes its motion as quasi-periodic on invariant tori in phase space.
• C. Young tower construction in nonuniformly hyperbolic dynamics
  "Young tower construction in nonuniformly hyperbolic dynamics" is a foundational work in dynamical systems that introduced a powerful tower-based method for analyzing statistical properties such as decay of correlations and limit theorems in nonuniformly hyperbolic systems.
• D. Poincaré–Birkhoff fixed-point theorem
  The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
• E. Lyapunov exponents
  Lyapunov exponents are quantitative measures in dynamical systems theory that characterize the rates at which nearby trajectories diverge or converge, indicating the presence and strength of chaos.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Arnold diffusion
Triple: [Kolmogorov–Arnold–Moser theory, relatedTo, Arnold diffusion]

Arnold diffusion is a phenomenon in Hamiltonian dynamical systems where very small perturbations can cause slow, long-term drift of trajectories across invariant tori in phase space, leading to global instability.

Target entity: Arnold diffusion
Target entity description: Arnold diffusion is a phenomenon in Hamiltonian dynamical systems where very small perturbations can cause slow, long-term drift of trajectories across invariant tori in phase space, leading to global instability.

• A. 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.
• B. Liouville–Arnold theorem
  The Liouville–Arnold theorem is a fundamental result in Hamiltonian mechanics that guarantees the integrability of a system with sufficiently many conserved quantities and describes its motion as quasi-periodic on invariant tori in phase space.
• C. Young tower construction in nonuniformly hyperbolic dynamics
  "Young tower construction in nonuniformly hyperbolic dynamics" is a foundational work in dynamical systems that introduced a powerful tower-based method for analyzing statistical properties such as decay of correlations and limit theorems in nonuniformly hyperbolic systems.
• D. Poincaré–Birkhoff fixed-point theorem
  The Poincaré–Birkhoff fixed-point theorem is a fundamental result in dynamical systems and topology that guarantees the existence of at least two fixed points for certain area-preserving twist maps of an annulus.
• E. Lyapunov exponents
  Lyapunov exponents are quantitative measures in dynamical systems theory that characterize the rates at which nearby trajectories diverge or converge, indicating the presence and strength of chaos.
• F. None of above. chosen