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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/25103

Title: Averaging method for systems with separatrix crossing
Authors: Neishtadt, Anatoly
Issue Date: 2017
Publisher: © IOP Publishing
Citation: NEISHTADT, A., 2017. Averaging method for systems with separatrix crossing. Nonlinearity, 30 (7), pp. 2871–2917.
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.
Description: This paper is in closed access until 7th June 2018.
Version: Accepted for publication
DOI: 10.1088/1361-6544/aa712f
URI: https://dspace.lboro.ac.uk/2134/25103
Publisher Link: https://doi.org/10.1088/1361-6544/aa712f
ISSN: 1361-6544
Appears in Collections:Closed Access (Maths)

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