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Sbornik: Mathematics, 2001, Volume 192, Issue 10, Pages 1435–1450
DOI: https://doi.org/10.1070/SM2001v192n10ABEH000600 (Mi sm600) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Approximation of attractors of semidynamical systems

A. A. Kornev

M. V. Lomonosov Moscow State University
English version PDF (221 kB) Citations (8)
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DOI: https://doi.org/10.1070/SM2001v192n10ABEH000600
Abstract: The problem of approximation with prescribed accuracy of the attractors of semidynamical systems is considered. The problem is formulated in terms of the function of the rate of attraction. New results on the structure of unstable manifolds in the neighbourhood of a non-hyperbolic point are used. For a certain class of maps the unstable manifold is effectively constructed and an estimate of the rate of attraction to it is found.
Received: 19.01.2001
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 10, Pages 19–32
DOI: https://doi.org/10.4213/sm600
Bibliographic databases:
UDC: 517.9
MSC: Primary 54H20, 54H15; Secondary 35B41
Language: English
Original paper language: Russian
Citation: A. A. Kornev, “Approximation of attractors of semidynamical systems”, Mat. Sb., 192:10 (2001), 19–32; Sb. Math., 192:10 (2001), 1435–1450
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:415
    Russian version PDF:218
    English version PDF:12
    References:71
    First page:1
     
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