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| Recently, the phase space structures governing reaction dynamics in Hamiltonian systems have been identified and algorithms for their explicit construction have been developed. These phase space structures consist of invariant manifolds whose existence is induced by saddle type equilibrium points which are characteristic for reaction type dynamics. The main algorithms to construct the phase space structures are based on a Poincar\'{e}-Birkhoff normal form. Using tools from the geometric theory of Hamiltonian systems and their reduction, we show in this talk how this construction of these phase space structures can be generalized to the case of the relative equilibria of a rotational symmetry reduced N-body system. As rotations almost always play an important role in the reaction dynamics of molecules, the approach presented in this talk is of great relevance for applications. |
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