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.

Some remarks on the problem of ergodicity of the standard map

A. Giorgilli
Primo
;
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.
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/15156
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