In this paper, we first give a terse survey of symplectic maps, their canonical formulation and integrability. Then, we introduce a rigorous procedure to construct integrable symplectic maps starting from integrable evolution equations on lattices. A number of illustrative examples are provided.
Bruschi, M., Ragnisco, O., Santini, P.m., Tu, G.z. (1991). INTEGRABLE SYMPLECTIC MAPS. PHYSICA D-NONLINEAR PHENOMENA, 49(3), 273-294 [10.1016/0167-2789(91)90149-4].
INTEGRABLE SYMPLECTIC MAPS
RAGNISCO, Orlando;
1991-01-01
Abstract
In this paper, we first give a terse survey of symplectic maps, their canonical formulation and integrability. Then, we introduce a rigorous procedure to construct integrable symplectic maps starting from integrable evolution equations on lattices. A number of illustrative examples are provided.File in questo prodotto:
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