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.
Ragnisco, O. (1992). A DISCRETE NEUMANN SYSTEM. PHYSICS LETTERS A, 167(2), 165-171 [10.1016/0375-9601(92)90222-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/156440
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