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Polynomial Map Factorization Of Symplectic Maps

Author

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  • GOVINDAN RANGARAJAN

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

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.

Suggested Citation

  • Govindan Rangarajan, 2003. "Polynomial Map Factorization Of Symplectic Maps," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 847-854.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:06:n:s0129183103004991
    DOI: 10.1142/S0129183103004991
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