A possible mechanism, which explains the diffusion in the phase space due to the ripples in the quadrupole currents, is studied on a simplified version of the SPS lattice used for experiments. We describe the diffusion driven by a single resonance in the s

8

A. BAZZANI, F. BRINI

4. B.V. Chirikov, Phys. Rep. 52-5, 263-379 (1979) 5. W. Fischer, M. Giovannozzi and F. Schmidt, CERN SL (AP) 95-96 (1995) 6. V.I. Arnold (ed.), Encyclopaedia of Mathematical Sciences: Dynamical Systems III ( Springer-Verlag,, 1988) 7. W. Fisher, M. Giovannozzi and F. Schmidt, in Fourth European Particle Accelerator Conference, edited by V. Sueller et al. (World Scienti c, Singapore, 1995) 8. A.I. Neishtadt, Sov J. Plasma Phys. 12, 568-573 (1986) 9. J.R. Cary, D.F. Escande and J.L. Tennyson, Phys. Rev. A 34-5, 4256-4275 (1986) 10. F. Brini, PHD Thesis, University of Bologna (1995) 11. J.R. Cary and R.T. Skodje, Phys. Rev. Lett. 61, 1795-1798 (1988) 12. J.R. Cary and R.T. Skodje, Physic

a D 36, 287-316 (1989) 13. A. Bazzani and F. Brini, in NATO ASI on Hamiltonian systems with three or more degrees of freedom, edited by C. Simo ed. (NATO ASI to be published,, 1995) 14. D.L. Bruhwiler and J.R. Cary, Physica D 40, 265-282 (1989) 15. A. Bazzani, S. Siboni and G. Turchetti, in AIP conference proc. 334, edited by S. Chattopadhyay, M.Cornacchia and C. Pelllegrini eds. (AIP press, Woodbury, New York, 1995) 16. A. Bazzani, M. Giovannozzi and G. Turchetti, in AIP conference proc. 334, edited by S. Chattopadhyay, M.Cornacchia and C. Pelllegrini eds. (AIP press, Woodbury, New York, 1995) 17. G. Turchetti, these proceedings.