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Russian Mathematical Surveys, 2015, Volume 70, Issue 6, Pages 975–1030
DOI: https://doi.org/10.1070/RM2015v070n06ABEH004972 (Mi rm9692) 		 
This article is cited in 20 scientific papers (total in 20 papers)

The anti-integrable limit

S. V. Bolotin, D. V. Treschev

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (956 kB) Citations (20)
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DOI: https://doi.org/10.1070/RM2015v070n06ABEH004972
Abstract: The anti-integrable limit is one of the convenient and relatively simple methods for the construction of chaotic hyperbolic invariant sets in Lagrangian, Hamiltonian, and other dynamical systems. This survey discusses the most natural context of the method, namely, discrete Lagrangian systems, and then presents examples and applications.
Bibliography: 75 titles.
Keywords: Lagrangian systems, Hamiltonian systems, chaos, hyperbolic sets, topological Markov chain, topological entropy.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 17.10.2015
Russian version:
Uspekhi Matematicheskikh Nauk, 2015, Volume 70, Issue 6(426), Pages 3–62
DOI: https://doi.org/10.4213/rm9692
Bibliographic databases:
Document Type: Article
UDC: 531.01
MSC: Primary 37D45; Secondary 37B10, 37B40
Language: English
Original paper language: Russian
Citation: S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Uspekhi Mat. Nauk, 70:6(426) (2015), 3–62; Russian Math. Surveys, 70:6 (2015), 975–1030
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/rm/v70/i6/p3
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:1115
    Russian version PDF:285
    English version PDF:16
    References:79
    First page:76
     
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