Dynamics near steady state bifurcations in problems with spherical symmetry

  • Reiner Lauterbach
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1463)


We give a complete description of the dynamics near a bifurcation point where spontaneous symmetry breaking from an O(3) invariant state occurs. The main hypotheses is that the kernel of the linearized equation is the (natural) irreducible seven dimensional representation of O(3).


Irreducible Representation Unstable Manifold Heteroclinic Orbit Isotropy Subgroup Maximal Isotropy 
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© Springer-Verlag 1991

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  • Reiner Lauterbach

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