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Sbornik: Mathematics, 2005, Volume 196, Issue 4, Pages 561–594
DOI: https://doi.org/10.1070/SM2005v196n04ABEH000892 (Mi sm1288) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Non-existence of stable trajectories in non-autonomous perturbations of systems of Lorenz type

E. A. Sataev

Obninsk State Technical University for Nuclear Power Engineering
English version PDF (380 kB) Citations (15)
References:
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DOI: https://doi.org/10.1070/SM2005v196n04ABEH000892
Abstract: Systems generalizing Lorenz's are considered in a bounded subdomain of $\mathbb R^3$. It is shown that under certain conditions of uniform hyperbolicity small non-autonomous perturbations do not lead to the formation of stable trajectories.
Received: 12.05.2004 and 01.12.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 4, Pages 99–134
DOI: https://doi.org/10.4213/sm1288
Bibliographic databases:
UDC: 517.938
MSC: 37C60, 37C75, 37D99
Language: English
Original paper language: Russian
Citation: E. A. Sataev, “Non-existence of stable trajectories in non-autonomous perturbations of systems of Lorenz type”, Mat. Sb., 196:4 (2005), 99–134; Sb. Math., 196:4 (2005), 561–594
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:866
    Russian version PDF:201
    English version PDF:7
    References:82
    First page:1
     
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