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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 4, Pages 71–78
(Mi vuu39)
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This article is cited in 2 scientific papers (total in 2 papers)
MECHANICS
After critical and precritical bifurcations of progressive wave in a generalized Ginzburg–Landau equation
A. N. Kulikov, D. A. Kulikov P. G. Demidov Yaroslavl State University
Abstract:
A generalized time dependent Ginzburg–Landau equation is considered with periodic boundary conditions. There is contable number progressive wave. Local bifurcations of that solutions is edudied when they change the stability. The torus of the $2$ dimension bifurcate of each of the progressive wave. In particular, the possibility of precritic hard bifurcation is demonstrated for this equations.
Keywords:
stability, soft and hard bifurcations, invariant torus.
Received: 01.09.2008
Citation:
A. N. Kulikov, D. A. Kulikov, “After critical and precritical bifurcations of progressive wave in a generalized Ginzburg–Landau equation”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 4, 71–78
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https://www.mathnet.ru/eng/vuu39 https://www.mathnet.ru/eng/vuu/y2009/i4/p71
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Abstract page: | 286 | Full-text PDF : | 143 | References: | 31 | First page: | 1 |
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