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Averaging method for systems with separatrix crossing

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journal contribution
posted on 23.05.2017 by Anatoly Neishtadt
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Nonlinearity

Citation

NEISHTADT, A., 2017. Averaging method for systems with separatrix crossing. Nonlinearity, 30 (7), pp. 2871–2917.

Publisher

© IOP Publishing & London Mathematical Society

Version

AM (Accepted Manuscript)

Acceptance date

04/05/2017

Publication date

2017

Notes

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

ISSN

1361-6544

Language

en

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