Polynomial map factorization of symplectic maps

Rangarajan, Govindan (2003) Polynomial map factorization of symplectic maps International Journal of Modern Physics C, 14 (6). pp. 847-854. ISSN 0129-1831

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Official URL: http://ejournals.worldscientific.com.sg/ijmpc/14/1...

Related URL: http://dx.doi.org/10.1142/S0129183103004991

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.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Symplectic Integration; Polynomial Maps; Lie Perturbation Theory
ID Code:73304
Deposited On:02 Dec 2011 09:47
Last Modified:02 Dec 2011 09:47

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