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Russian Mathematical Surveys, 2001, Volume 56, Issue 3, Pages 499–558
DOI: https://doi.org/10.1070/RM2001v056n03ABEH000394 (Mi rm394) 		 
This article is cited in 64 scientific papers (total in 64 papers)

Splitting of separatrices: perturbation theory and exponential smallness

V. G. Gelfreicha, V. F. Lazutkin

a Saint-Petersburg State University
English version PDF (664 kB) Citations (64)
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DOI: https://doi.org/10.1070/RM2001v056n03ABEH000394
Abstract: This is a survey of the main results related to separatrix splitting for area-preserving maps and Hamiltonian systems with one and a half degrees of freedom. Special attention is paid to problems in which the separatrix splitting is exponentially small with respect to the perturbation parameter.
Received: 23.05.2000
Russian version:
Uspekhi Matematicheskikh Nauk, 2001, Volume 56, Issue 3(339), Pages 79–142
DOI: https://doi.org/10.4213/rm394
Bibliographic databases:
Document Type: Article
UDC: 517.927+517.928+517.987
MSC: Primary 37J40, 37J45; Secondary 37D10, 37J10, 37C29, 37G20, 34E05, 34C37, 70K40, 7
Language: English
Original paper language: Russian
Citation: V. G. Gelfreich, V. F. Lazutkin, “Splitting of separatrices: perturbation theory and exponential smallness”, Uspekhi Mat. Nauk, 56:3(339) (2001), 79–142; Russian Math. Surveys, 56:3 (2001), 499–558
Citation in format AMSBIB
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    • This publication is cited in the following 64 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:480
    English version PDF:54
    References:87
    First page:3
     
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