We construct the one- and two-point integrable maps (Backlund transformations) for the symmetric Lagrange top. We show that the Lagrange top has the same algebraic Poisson structure that belongs to the sl(2) Gaudin magnet. The two-point map leads to a real time discretization of the continuous flow. Therefore, it provides an integrable numerical scheme for integrating the physical flow. We illustrate the construction by a few pictures of the discrete flow calculated in MATLAB.
Kuznetsov, V.b., Petrera, M., Ragnisco, O. (2004). Separation of variables and Backlund transformations for the symmetric Lagrange top. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(35), 8495-8512 [10.1088/0305-4470/37/35/007].
Separation of variables and Backlund transformations for the symmetric Lagrange top
RAGNISCO, Orlando
2004-01-01
Abstract
We construct the one- and two-point integrable maps (Backlund transformations) for the symmetric Lagrange top. We show that the Lagrange top has the same algebraic Poisson structure that belongs to the sl(2) Gaudin magnet. The two-point map leads to a real time discretization of the continuous flow. Therefore, it provides an integrable numerical scheme for integrating the physical flow. We illustrate the construction by a few pictures of the discrete flow calculated in MATLAB.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
