Symplectic Integration of Hamiltonian Systems using Polynomial Maps

Details Symplectic Integration of Hamiltonian Systems using Polynomial Maps Symplectic Integration of Hamiltonian Systems using Polynomial Maps

2001-06-21

arxiv.org/abs/nlin/0106033v1

Physics Letters A, vol. 286, 141 (2001)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, 1 figure

Scientific paper

10.1016/S0375-9601(01)00409-1

In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one needs a numerical integration algorithm which is symplectic. Further, this algorithm should be fast and accurate. In this paper, we propose such a symplectic integration algorithm using polynomial map refactorization of the symplectic map representing the Hamiltonian system. This method should be particularly useful in long-term stability studies of particle storage rings in accelerators.

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