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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 4, Pages 50–63
(Mi vngu355)
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Group Symmetry for Dynamica Bifurcation Problems with Schmidt Spectrum in Linearization
I. V. Konopleva, B. V. Loginov Ulyanovsk State Technical University
Abstract:
Results [1] for stationary problems in the theory of branching for solutions of non-linear equations with the Schmidt spectrum in the linearization and articles [2; 3] applied to the problem of periodic solutions of the Poincare–Andronov–Hopf bifurcation in the spectrum Schmidt.
Keywords:
dynamical bifurcation problems, Poincarè–Andronov–Hopf bifurcation, E. Schmidt spectrum, group symmetry, $G$-invariant implicit operator theorem, variational type branching equations in the root-subspaces.
Received: 01.09.2014
Citation:
I. V. Konopleva, B. V. Loginov, “Group Symmetry for Dynamica Bifurcation Problems with Schmidt Spectrum in Linearization”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:4 (2014), 50–63
Linking options:
https://www.mathnet.ru/eng/vngu355 https://www.mathnet.ru/eng/vngu/v14/i4/p50
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