Averaging method for systems with separatrix crossing

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 u...

Full description

Saved in:

Bibliographic Details
Main Author:	Anatoly Neishtadt
Format:	Default Article
Published:	2017
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/25103
Tags:	Add Tag No Tags, Be the first to tag this record!

id	rr-article-9385385
record_format	Figshare
spelling	rr-article-93853852017-06-07T00:00:00Z Averaging method for systems with separatrix crossing Anatoly Neishtadt (1258773) Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified 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. 2017-06-07T00:00:00Z Text Journal contribution 2134/25103 https://figshare.com/articles/journal_contribution/Averaging_method_for_systems_with_separatrix_crossing/9385385 CC BY-NC-ND 4.0
institution	Loughborough University
collection	Figshare
topic	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
spellingShingle	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified Anatoly Neishtadt Averaging method for systems with separatrix crossing
description	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.
format	Default Article
author	Anatoly Neishtadt
author_facet	Anatoly Neishtadt
author_sort	Anatoly Neishtadt (1258773)
title	Averaging method for systems with separatrix crossing
title_short	Averaging method for systems with separatrix crossing
title_full	Averaging method for systems with separatrix crossing
title_fullStr	Averaging method for systems with separatrix crossing
title_full_unstemmed	Averaging method for systems with separatrix crossing
title_sort	averaging method for systems with separatrix crossing
publishDate	2017
url	https://hdl.handle.net/2134/25103
_version_	1797735507618168832

Averaging method for systems with separatrix crossing

Similar Items