Toda Equations, bi-Hamiltonian Systems, and Compatible Lie Algebroids |
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| Authors: | Attilio Meucci |
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| Institution: | (1) Bain & Co, via Crocefisso 10, I-20122 Milan, Italy |
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| Abstract: | We present the bi-Hamiltonian structure of Toda3, a dynamical system studied by Kupershmidt as a restriction of the discrete KP hierarchy. We derive this structure by a suitable reduction of the set of maps from Z
d
to GL(3,R), in the framework of Lie algebroids. |
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| Keywords: | Toda lattice Lie algebroids bi-Hamiltonian manifolds Marsden– Ratiu reduction |
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