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4: KAM Theory
https://doi.org/10.1142/9789814556590_0004Cited by:0 (Source: Crossref)
Abstract:
In this chapter, I outline the breakthroughs that resulted in KAM theory and resolved the slow crisis described above. It goes without saying that the mathematicians involved—Siegel, Kolmogorov, Arnold, Moser—were among the leaders of their respective generations, and that KAM theory was only one aspect of their work, though no doubt a memorable one. Kolmogorov in particular seems to have had extraordinary mathematical vision, transforming each of the several fields (probability, turbulence, HPT, information and complexity theory) in which he took an interest.
