Global Theory of Extended Generating Functions
نویسنده
چکیده
The global theory of generating functions of canonical transformations is developed. Utilizing methods of symplectic geometry, we present the geometrical interpretation of the various objects appearing in the theory, that allows to de ne in nitely many types of generators, some of which can be de ned globally. Some interesting transformation properties are derived. Use of generators in applications in applied mathematics (symplectic numerical integration) and physics (nonlinear beam dynamics) are outlined.
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