Critical perturbation in standard map: A better approximation
Abstract
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 Kcr-Kg < 2.5× 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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