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Averaging method for systems with separatrix crossing | | Anatoly Neishtadt
; | | Date: |
11 May 2017 | | Abstract: | The averaging method provides a powerful tool for studying evolution in
near-integrable systems. Existence of separatrices in the phase space of the
underlying integrable system is an obstacle for application of standard results
that justify using of averaging. We establish estimates that allow to use
averaging method when the underlying integrable system is a system with one
rotating phase, and the evolution leads to separatrix crossings. | | Source: | arXiv, 1705.4347 | | Services: | Forum | Review | PDF | Favorites | |
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