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Sbornik: Mathematics, 1999, Volume 190, Issue 1, Pages 143–164
DOI: https://doi.org/10.1070/sm1999v190n01ABEH000380 (Mi sm380) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Schwartzian derivative for multidimensional maps and flows

E. A. Sataev

Obninsk State Technical University for Nuclear Power Engineering
English version PDF (269 kB) Citations (4)
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DOI: https://doi.org/10.1070/sm1999v190n01ABEH000380
Abstract: A generalization of Schwartzian derivative to maps and flows in the space $\mathbb R^n$ and in infinite-dimensional spaces is introduced. It is used to study the type of stability loss (soft or hard) for fixed points and periodic trajectories of diffeo-morphisms and flows. In particular, an example of a partial differential equation of reaction-diffusion type is presented for which the conditions of soft loss of stability of a spatially homogeneous solution are verified.
Received: 08.01.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 1, Pages 139–160
DOI: https://doi.org/10.4213/sm380
Bibliographic databases:
UDC: 517.925.51+517.938.5
MSC: 58C25, 58F14
Language: English
Original paper language: Russian
Citation: E. A. Sataev, “Schwartzian derivative for multidimensional maps and flows”, Mat. Sb., 190:1 (1999), 139–160; Sb. Math., 190:1 (1999), 143–164
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    References:54
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