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.
Some remarks on the problem of ergodicity of the standard map / A. Giorgilli, V.F. Lazutkin. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 272:5-6(2000), pp. 359-367. [10.1016/S0375-9601(00)00452-7]
Some remarks on the problem of ergodicity of the standard map
A. GiorgilliPrimo
;
2000
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.
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