A Simple Method to Generate Integrable Symplectic Maps
We show that by taking stationary flows of integrable evolution equations on lattices one obtains integrable symplectic maps. We also tersely discuss an alternative method based on the so-called nonlinearization of a scattering problem, and elucidate its intimate connections with the previous one. A few examples of possibly interesting integrable maps are presented.
KeywordsToda Lattice Integrable Hamiltonian System Classical Integrable System Integrable Evolution Equation Canonical Poisson Bracket
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