POLYNOMIAL MAP FACTORIZATION OF SYMPLECTIC MAPS

Govindan Rangarajan ()
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Govindan Rangarajan: Department of Mathematics and Centre for Theoretical Studies, Indian Institute of Science, Bangalore 560 012, India

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 06, 847-854

Abstract: 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 for the three degree of freedom case. Finally, we apply this algorithm to study a large particle storage ring.

Keywords: Symplectic integration; polynomial maps; Lie perturbation theory (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:14:y:2003:i:06:n:s0129183103004991

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DOI: 10.1142/S0129183103004991

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