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 α=5 for the power law decay of D as approaching the golden curve via principal resonances with period qn (D 1/qαn). 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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.