Linked from

The 10 pages that link to KAM theory, each with the reason it gives.

• Three-body problemCompared with: It explains why some nearly Keplerian motions remain regular despite gravitational perturbations.

• Periodic orbitCompared with: It explains when recurring motion persists without becoming a periodic orbit.

• Ergodic hypothesisCompared with: Surviving invariant tori can obstruct global exploration and limit ergodicity.

• Action-angle variablesRelated: Its persistence results are naturally expressed in action-angle coordinates.

• Dirichlet's approximation theoremRelated: Its nonresonance conditions use Diophantine bounds to control small divisors.

• Integrable systemRelated: It explains how some regular motion survives when exact integrability is disturbed.

• Kolmogorov–Arnold–Moser theoremNarrower topic: The named theorem anchors a wider collection of extensions and proof methods.

• Vladimir ArnoldRelated: Its results explain why some planetary trajectories remain orderly despite perturbations.

• Artur AvilaCompared with: Avila’s global approach extends beyond the small-perturbation setting typical of KAM theory.

• Poincaré–Birkhoff theoremCompared with: KAM theory preserves many invariant motions, whereas this theorem guarantees fixed points from boundary rotation.