A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
| Autor: | Guardia, M., Kaloshin, V., Zhang, J. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s00220-016-2705-9 |
| Popis: | In this paper we study a so-called separatrix map introduced by Zaslaskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02, Pif06, PT07]. We derive a second order expansion of this map for trigonometric perturbations. In [CK15, GK15], and [KZZ15], applying the results of the present paper, we describe a class of nearly integrable deterministic systems with stochastic diffusive behavior. |
| Databáze: | arXiv |
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