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Mathematics of the USSR-Sbornik, 1992, Volume 73, Issue 1, Pages 67–77
DOI: https://doi.org/10.1070/SM1992v073n01ABEH002535 (Mi sm1317) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Group symmetry of the Lyapunov–Schmidt branching equation and iterative methods in the problem of a bifurcation point

B. V. Loginova, N. A. Sidorovb

a Romanovskii Mathematical Institute, Academy of Sciences of UzSSR
b Irkutsk State University
English version PDF (584 kB) Citations (19)
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DOI: https://doi.org/10.1070/SM1992v073n01ABEH002535
Abstract: Using group-theoretic methods (MR 80d: 58072, 83m: 58082), the authors construct the general form of the branching equation, symmetric with respect to fundamental representations of the rotation group, and on the basis of this form they propose an iterative method for calculating families of small branching solutions in a neighborhood of a bifurcation point, depending on free parameters.
Received: 19.12.1989
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 5, Pages 681–691
Bibliographic databases:
UDC: 517.988.67
MSC: Primary 47H15, 58F14; Secondary 34C23, 35B32
Language: English
Original paper language: Russian
Citation: B. V. Loginov, N. A. Sidorov, “Group symmetry of the Lyapunov–Schmidt branching equation and iterative methods in the problem of a bifurcation point”, Mat. Sb., 182:5 (1991), 681–691; Math. USSR-Sb., 73:1 (1992), 67–77
Citation in format AMSBIB
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\pages 681--691
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\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 73
\issue 1
\pages 67--77
\crossref{https://doi.org/10.1070/SM1992v073n01ABEH002535}
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  • https://www.mathnet.ru/eng/sm/v182/i5/p681
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1991 Sbornik: Mathematics
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    Abstract page:496
    Russian version PDF:183
    English version PDF:11
    References:48
    First page:1
     
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