Computation of the Dynamic

Abstract

We consider the conservative H enon mapping, which is the one dimensional model of a FODO cell with a sextupole nonlinearity. We analyse the well known problem of estimating the dynamic aperture of such a model with analytical tools. A complete solution can be found by drawing the stable and unstable manifolds which emanate from the xed point of the map; the envelope of these manifolds exactly reproduces the boundary of stability of the model. Some numerical examples are given.

Cite this paper

@inproceedings{Giovannozzi2007ComputationOT, title={Computation of the Dynamic}, author={Massimo Giovannozzi and Ezio Todesco and Giorgio Turchetti}, year={2007} }