 Kolmogorov–Arnold–Moser theorem

The Kolmogorov–Arnold–Moser (KAM) theorem is a fundamental result in the field of dynamical systems, particularly in Hamiltonian dynamics and classical mechanics. It addresses the stability of certain integrable systems under perturbations and provides conditions under which certain quasi-periodic motions remain stable. Here are the key points about the KAM theorem: 1. **Context**: The theorem primarily concerns Hamiltonian systems, which are a class of dynamical systems characterized by energy conservation.