Poisson maps and canonoid transformations for time-dependent Hamiltonian systems (original) (raw)

Journal of Mathematical Physics, 1989

Abstract

After a new presentation of the geometric theory of time-dependent systems in the Hamiltonian formulation, using Poisson structures, a characterization of canonoid transformations with respect to a dynamical vector field is given. The associated constants of motion and the generating functions of canonoid transformations are also studied. The theory is illustrated with several examples.

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