Il Nuovo Cimento
- A. Bazzani, P. Mazzanti, G. Servizi, G. Turchetti
- vol 102 B, pp. 51-80
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.