G. Servizi et al., GIOTTO - A CODE FOR THE NONLINEAR-ANALYSIS OF AREA-PRESERVING MAPPINGS, International journal of modern physics C, 6(5), 1995, pp. 651-661
An interactive code for the analysis of nonlinear area-preserving mapp
ings is described; several facilities allow the user to draw phase por
traits, make zooming, and use colors. The perturbative approach of nor
mal forms and all the standard tools for the analysis of the nonlinear
dynamics (Fourier spectra, Lyapunov exponents, fixed points...) are i
mplemented in a user-friendly graphic environment based on X-window an
d OSF-Motif. Both simple models and more involved mappings which descr
ibe the betatronic motion in a particle accelerator can be implemented
.