Dynamics near steady state bifurcations in problems with spherical symmetry
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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).
KeywordsIrreducible Representation Unstable Manifold Heteroclinic Orbit Isotropy Subgroup Maximal Isotropy
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