The classical perturbation series is used to follow an invariant curve, of fixed winding number, up to its break-up point. The result obtained for the critical value of the perturbation and the corresponding behaviour of the invariant curve are in complete agreement with the results of Kadanoff and Shenker.
Critical behaviour of invariant curves in the standard map: a perturbative approach
BENETTIN, GIANCARLO;
1984
Abstract
The classical perturbation series is used to follow an invariant curve, of fixed winding number, up to its break-up point. The result obtained for the critical value of the perturbation and the corresponding behaviour of the invariant curve are in complete agreement with the results of Kadanoff and Shenker.
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