KAM theory: The legacy of Kolmogorov’s 1954 paper

By Henk W. Broer. 2004

64 citations recorded by the source corpus.

Kolmogorov-Arnold-Moser (or KAM) theory was developed for conservative dynamical systems that are nearly integrable. Integrable systems in their phase space usually contain lots of invariant tori, and KAM theory establishes persistence results for such tori, which carry quasi-periodic motions. We sketch this theory, which begins with Kolmogorov's pioneering work.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0aa563bfee5268e66f4bf15ffa2065e641d1efb2