Sep_passage_1.pdf (1.17 MB)
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 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
NonlinearityVolume
30Issue
7Pages
2871 - 2917Citation
NEISHTADT, A., 2017. Averaging method for systems with separatrix crossing. Nonlinearity, 30 (7), pp. 2871–2917.Publisher
© IOP Publishing & London Mathematical SocietyVersion
- AM (Accepted Manuscript)
Acceptance date
2017-05-04Publication date
2017-06-07Notes
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/aa712fISSN
0951-7715eISSN
1361-6544Publisher version
Language
- en