Abstract
A previous conjecture by the authors about a new regime of Arnold diffusion with a power-law dependence of the diffusion rate on perturbation strength is confirmed by detailed theoretical evaluation. A new effect of slow (logarithmic) dependence of the power-law exponent on the perturbation parameter is conjectured. The theory developed seems to allow for a new interpretation of the recent extensive numerical experiments on Arnold diffusion in a particular many-dimensional model of Kaneko and Konishi even in the presence of some global chaos.
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Chirikov, B.V., Vecheslavov, V.V. Theory of fast arnold diffusion in many-frequency systems. J Stat Phys 71, 243–258 (1993). https://doi.org/10.1007/BF01048098
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DOI: https://doi.org/10.1007/BF01048098