Universal Power-Law Decay in Hamiltonian Systems?

A Comment on the Letter by B. V. Chirikov and D. L. Shepelyansky, . The authors of the Letter offer a Reply.

Figure 1

The Poincaré recurrence time distribution $P(t)$ for the standard map at $K=K_c$ for trajectories approaching the critical golden torus from above (upper curve) and from below (lower curve, shifted by ${10}^{-3}$). For large times we find clear deviations from the predictions of Ref. 1 (dashed lines and symbols). Inset: Phase space of the symmetrized standard map at $K=K_c$, with arrows pointing at the critical golden torus.