Universal diffusion near the golden chaos border

Abstract

We study local diffusion rate $D$ in Chirikov standard map near the critical golden curve. Numerical simulations confirm the predicted exponent $\alpha =5$ for the power law decay of $D$ as approaching the golden curve via principal resonances with period $q_n$ ($D\sim 1/q_n^{\alpha }$). The universal self-similar structure of diffusion between principal resonances is demonstrated and it is shown that resonances of other type play also an important role.

4 pages Latex, revtex, 3 uuencoded postscript figures

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