Abstract
We study the question of existence of relative equilibria in a SO(3)- equivariant dynamical system when the dynamics is governd by the l=4 representation of this group. This answers a question which remained open in Chossat et al. [1].
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References
P. Chossat, R. Lauterbach & I. Melbourne. Steady-state bifurcation with O(3)-symmetry. Arch. Rat. Mech. Anal.,113(4), 313–376, 1991.
E. Ihrig & M. Golubitsky. Pattern selection with O(3)-symmetry. Physica 13D,pages 1–13, 1984.
W. Miller. Symmetry Groups and their Applications. Academic Press, 1972.
D. H. Sattinger. Group Theoretic Methods in Bifurcation Theory,volume 762 of Lecture Notes in Mathematics. Springer Verlag, 1978.
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© 1994 Springer Science+Business Media Dordrecht
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Lauterbach, R., Chossat, P. (1994). Exclusion of Relative Equilibria. In: Chossat, P. (eds) Dynamics, Bifurcation and Symmetry. NATO ASI Series, vol 437. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0956-7_17
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DOI: https://doi.org/10.1007/978-94-011-0956-7_17
Publisher Name: Springer, Dordrecht
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