Generalized legendre transformations
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A general theory of Toda chains is presented. The chains are treated as Lagrange dynamic systems with one continuous and one discrete time. The theory is based on the fact that the chains are invariant with respect to transformations that are analogous to the Legendre transformations in classical mechanics.
KeywordsPoisson Bracket Legendre Transformation Generalize Momentum Toda Chain Variational Symmetry
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