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math-ph2005
Volterra's realization of the KM-system
M. A. Agrotis, P. A. Damianou
We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doub…
math-ph2005
The Toda lattice is super-integrable
M. Agrotis, P. A. Damianou, C. Sophocleous
We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N-1 independent constants of motion, where N is the number of…