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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 2, Pages 356–374 (Mi smj1074)  
This article is cited in 4 scientific papers (total in 4 papers)

On equilibrium bifurcations in the cosymmetry collapse of a dynamical system

L. G. Kurakin, V. I. Yudovich

Rostov State University
Full-text PDF (288 kB) Citations (4)
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Abstract: We study the bifurcations that accompany the collapse of a continuous family of equilibria of a cosymmetric dynamical system (or a family of solutions to a cosymmetric operator equation in general) under some perturbation that destroys cosymmetry. Using the Lyapunov–Schmidt method, we expatiate on the cases in which the branching equation is one- or two-dimensional.
Keywords: cosymmetry, symmetry, bifurcation, family of equilibria, Lyapunov–Schmidt method.
Received: 15.05.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 2, Pages 294–310
DOI: https://doi.org/10.1023/B:SIMJ.0000021285.46079.c5
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: L. G. Kurakin, V. I. Yudovich, “On equilibrium bifurcations in the cosymmetry collapse of a dynamical system”, Sibirsk. Mat. Zh., 45:2 (2004), 356–374; Siberian Math. J., 45:2 (2004), 294–310
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 294--310
\crossref{https://doi.org/10.1023/B:SIMJ.0000021285.46079.c5}
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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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