Critical perturbation in standard map: A better approximation

Details Critical perturbation in standard map: A better approximation Critical perturbation in standard map: A better approximation

2000-06-15

arxiv.org/abs/nlin/0006021v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 3 figures

Scientific paper

Direct computation of the transition time between neighbor resonances in the
standard map, as a function of the perturbation parameter $K$, allows for
improving the accuracy of the critical perturbation value up to $K_{cr}-K_g <
2.5\times 10^{-4}$ that is by a factor of about 50 as compared to the previous
result due to MacKay and Percival.

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