$SO(3)\times S^1$-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter
Słowa kluczowe
equivariant degree, symmetric Hopf bifurcation, steady-state bifurcationAbstrakt
The reduced equivariant degree for $G=SO(3)\times S^1$ is introduced and studied in the case of one free parameter equivariant maps. Computational and multiplication tables for the reduced $SO(3)\times S^1$-equivariant degree are presented together with an application to an $SO(3)$-symmetric Hopf bifurcation problem. A method for classification of $SO(3)$-symmetric bifurcations is established.Pobrania
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2002-12-01
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BALANOV, Zolman, KRAWCEWICZ, Wiesław & STEINLEIN, Heinrich. $SO(3)\times S^1$-equivariant degree with applications to symmetric bifurcation problems: the case of one free parameter. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2002, T. 20, nr 2, s. 335–374. [udostępniono 22.7.2024].
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