An integrable discrete-time version of the Neumann system is presented. It obtains from the Toda-lattice spectral problem by requiring the potential to be restricted to a suitable finite-dimensional manifold. The analogy with the continuous Neumann system is explained. Some interesting open problems are briefly outlined.
Ragnisco, O. (1992). A DISCRETE NEUMANN SYSTEM. PHYSICS LETTERS A, 167(2), 165-171 [10.1016/0375-9601(92)90222-8].
A DISCRETE NEUMANN SYSTEM
RAGNISCO, Orlando
1992-01-01
Abstract
An integrable discrete-time version of the Neumann system is presented. It obtains from the Toda-lattice spectral problem by requiring the potential to be restricted to a suitable finite-dimensional manifold. The analogy with the continuous Neumann system is explained. Some interesting open problems are briefly outlined.File in questo prodotto:
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