The KAM Theory of Systems with Short Range Interactions I
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The Kolmogorov, Arnol'd, Moser (KAM) theory [15, 1, 16] proves that ``small" perturbations of integrable Hamiltonian systems possess ``large" sets of initial conditions for which the trajectories remain quasiperiodic. In this paper we discuss how the ``strength" of the allowed perturbation varies with the number of degrees of freedom, N, in the system.
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Wayne, C. Eugene. (1983). The KAM Theory of Systems with Short Range Interactions I. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/4588.
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