Universal diffusion near the golden chaos border

Details Universal diffusion near the golden chaos border Universal diffusion near the golden chaos border

1995-07-07

arxiv.org/abs/chao-dyn/9507001v1

Nonlinear Sciences

Chaotic Dynamics

4 pages Latex, revtex, 3 uuencoded postscript figures

Scientific paper

10.1103/PhysRevLett.76.3300

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 $q_n$ ($D \sim 1/q^{\alpha}_n$). 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.

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