|XXVII Workshop on Geometric Methods in Physics||29.06-05.07.2008|
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Monodromy factorization for Lie systems and reconstruction phases.
Using a variational formula, we give a factorization of the monodromy element of a periodic Lie system on a Lie group and we define the geometric and dynamical phases for such systems. We give an intrinsec decomposition for reconstruction phases for systems with symmetry and applications rigid body dynamics.