Polynomial map symplectic algorithm

Details Polynomial map symplectic algorithm Polynomial map symplectic algorithm

2002-12-26

arxiv.org/abs/physics/0212098v1

Physics

Computational Physics

20 pages, 1 figure

Scientific paper

Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is analyzed in detail for the three degree of freedom case. We obtain explicit formulas for the action of the constituent polynomial maps on phase space variables.

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