High-order representation of Poincare´ maps
Johannes Grote
, Martin Berz, Kyoko Makino
Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA
Available online 23 January 2006
Abstract
A method to obtain DA approximations of Poincare´ maps directly from a DA approximation of the flow of the differential equation
for certain types of flows and Poincare´ sections is presented. Examples of the performance of the method, its computational
implementation, and its use for problems in beam physics are given.
r 2006 Elsevier B.V. All rights reserved.
Keywords: Poincare´ map; Differential algebra
From www.siencedirect.com