Triple

Target class: phenomenon in Hamiltonian dynamical systems
Context triple: [Arnold diffusion, instanceOf, phenomenon in Hamiltonian dynamical systems]

• A. theory of dynamical systems
  The theory of dynamical systems studies how points in a mathematical space evolve over time under repeated application of rules or equations, revealing patterns such as stability, chaos, and long-term behavior.
• B. tool in dynamical systems theory
  A tool in dynamical systems theory is a conceptual or computational method—such as phase portraits, Lyapunov functions, or Poincaré maps—used to analyze, visualize, and understand the qualitative and quantitative behavior of dynamical systems over time.
• C. nonlinear dynamical system
  A nonlinear dynamical system is a system whose evolution over time is governed by equations in which the change of state depends on the current state in a nonlinear way, often leading to complex behaviors such as bifurcations and chaos.
• D. integrable rigid body system
  An integrable rigid body system is a mechanical model of a rigid body whose equations of motion admit enough conserved quantities to be solved exactly, typically allowing its dynamics to be expressed in terms of action-angle variables.
• E. integral of motion
  An integral of motion is a physical quantity that remains constant along the trajectory of a dynamical system due to its underlying symmetries or conservation laws.
• F. None of above. chosen