Some remarks on the problem of ergodicity of the Standard Map
by Antonio Giorgilli and Vladimir F. Lazutkin

Abstract: We consider the problem of removing the islands of stability in the phase space of the standard map by means of tuning the parameter. A possible construction which gives a classification of periodic chains of islands in terms of a symbolic dynamics and predicts the values of the parameters for which the island with a given symbolic code exists is suggested and discussed.

Phys. Lett. A 272, 359-367 (2000)

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