Izbrane teme sodobne fizike in matematike
Splošne dinamike zahtevnih hamiltonskih sistemov v večini primerov ne poznamo. KAM izrek nam kvalitativno opisuje orbite neke družine rešljivih sistemov, če sisteme rahlo perturbiramo. Pomaga nam pri razumevanju nerešljivih sistemov in pri poznavanju nekaterih lastnosti gibanja.
A general solution to Hamiltonian dynamical systems is in most of the cases not known. The KAM theorem qualitatively describes the orbits of a family of solvable systems after a small perturbation is applied. It helps us to understand the dynamics of complex systems and predict some characteristics of the motion.