The Instability of Axisymmetric Solutions in Problems with Spherical Symmetry

DOI10.1137/0520003zbMath0708.22012OpenAlexW1993600409MaRDI QIDQ3490208

Pascal Chossat, Reiner Lauterbach

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520003

zbMATH Keywords

spherical harmonicsirreducible representationsgroup of symmetryinvariant spacesone-parameter vector fields

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Heteroclinic cycles in bifurcation problems with \(O(3)\) symmetry and the spherical Bénard problem ⋮ Spontaneous symmetry breaking in higher dimensional fixed point spaces ⋮ Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach ⋮ Heteroclinic cycles for reaction diffusion systems by forced symmetry-breaking ⋮ Steady-state bifurcation with O(3)-symmetry ⋮ Anisotropic Einstein data with isotropic non negative prescribed scalar curvature

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