Department of Mathematics, University of Groningen, PO Box 407, 9700 AK, Groningen, Netherlands
Mathematisch Instituut, Universiteit Utrecht, Postbus 80.010, 3508 TA Utrecht
Institute of Energy Problems of Chemical Physics, The Russia Academy of Sciences, Leninskii prospect 38, Bldg.2, 119334 Moscow, Russian Federation
KAM theory, named after its founders A.N. Kolmogorov [1, 2], V.I. Arnol'd [3, 4, 5], and J.K. Moser [6, 7], is a major part of Dynamical Systems Theory and Qualitative Theory of Differential Equations, both ordinary and partial (the descriptive term "KAM theory'' was coined in a 1968 Russian preprint by F.M. Izrailev and B.V. Chirikov). It studies the typical occurrence of quasi-periodicity in non-integrable dynamical systems and is often regarded as one of the foremost branches of modern Nonlinear Dynamics.
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