Long term stability studies of particle storage rings using polynomial Maps

Rangarajan, Govindan (2006) Long term stability studies of particle storage rings using polynomial Maps. In: Proceedings of the International Conference on Industrial Mathematics, 2006.

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Abstract

Long-term stability studies of particle storage rings can not be carried out using conventional numerical integration algorithms. We require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the sym-plectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is used to perform long term integration on a particle storage ring.

Item Type:	Conference Paper
Keywords:	Symplectic integration;polynomial maps;stability
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	24 Nov 2011 06:50
Last Modified:	24 Nov 2011 06:50
URI:	http://eprints.iisc.ac.in/id/eprint/42139

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