ABSTRACT

For accelerator physics applications the maps of interest are usually weakly nonlinear around the equilibrium points. Hence, it is sufficient to constrain oneself to the equivalence class of type!. of generating functions associated with the subgroup of linear conformal symplectic maps. Further, the transformation properties of the generating function can be used to reduce the number of equivalence classes. ll can be shown that every generator type belongs to an equivalence class [SJ a'isociated with

( -JM-1 J ) a= ~(l+JS)M-1 !U-JS) and represented by a symmetric matrix S. Thus, the determination or a generator merely requires the choice of a symmetric matrix S.