Integration of Hamiltonian Systems
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Differential equations and, in particular, the Hamilton equations can be divided into integrable and non-integrable. “However, trying to give an exact definition of integrability, we discover that many different definitions are possible and each of them is interesting from a certain theoretical point of view” (Birkhoff ). In this chapter we survey various approaches to the problem of integrability of Hamiltonian systems.
KeywordsRiemann Surface Hamiltonian System Hamilton Function Vortex Line Hamilton Equation
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