The time t maps of Hamiltonian flows are symplectic. The order n Taylor series approximation with respect to initial conditions of such a map is symplectic through terms of order n. Given an order n… (More)

Long term simulations of Hamiltonian dynamical systems benefit from enforcing the symplectic symmetry. One of the several available methods to perform this symplectification is provided by the… (More)

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… (More)

converge to a unique solution of the IVP up to the boundary of U [1]. In general, φn may converge slowly to the exact solution. The Picard iteration based integrator described in this paper has three… (More)

Transition-free lattices are favored as possible realization of proton drivers. Several variants have been proposed, some of which have considerably different behavior. One of the main quantities… (More)

The importance of nonlinear effects has been well known in the field of modern high resolution spectrography and in other areas requiring the precise manipulation of large phase space volumes.… (More)

Motivated by the high accuracy requirements and the huge ratio of the largest to smallest time scales of Coulomb collision simulations of a considerable number of charges, we developed a novel… (More)

Hofer’s metric is a very interesting way of measuring distances between compactly supported Hamiltonian symplectic maps. Unfortunately, it is not known yet how to compute it in general, for example… (More)