Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

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 & London Mathematical Society
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 was accepted for publication in the journal Nonlinearity and the definitive published version is available at https://doi.org/10.1088/1361-6544/aa712f
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:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
Sep_passage_1.pdfAccepted version1.2 MBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.