 94319 G. Gaeta
 Splitting equivariant dynamics
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Oct 14, 94

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Abstract. We prove that any dynamical system on a $G$manifold $M$
which is equivariant under the $G$ action, can be decomposed into the
semidirect product of an autonomous dynamics in the $G$orbit space
$\Om = M / G$, and a dynamics (depending on the $G$orbit) on $G$. This
result is actually a corollary of Michel theorem [1] on the geometry of
symmetry breaking, and uses the same ingredients for the proof. It permits
to unify a number of known and useful results in the literature, as discussed
here.
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