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.
|Number of pages||15|
|Journal||Bulletin of the american mathematical society|
|Publication status||Published - 2004|
- SMALL DIVISOR PROBLEMS
- IMPLICIT FUNCTION THEOREMS
- LOWER-DIMENSIONAL TORI