English

Universal diffusion near the golden chaos border

chao-dyn 2009-10-28 v1 Chaotic Dynamics

Abstract

We study local diffusion rate DD in Chirikov standard map near the critical golden curve. Numerical simulations confirm the predicted exponent α=5\alpha=5 for the power law decay of DD as approaching the golden curve via principal resonances with period qnq_n (D1/qnαD \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.

Cite

@article{arxiv.chao-dyn/9507001,
  title  = {Universal diffusion near the golden chaos border},
  author = {S. Ruffo and D. L. Shepelyansky},
  journal= {arXiv preprint arXiv:chao-dyn/9507001},
  year   = {2009}
}

Comments

4 pages Latex, revtex, 3 uuencoded postscript figures

R2 v1 2026-07-22T09:55:02.091Z