[1] V., Balakin, A., Novokhatsky, and V., Smirnov, VLEPP: transverse beam dynamics. In: PAC83, 1983.
[2] A., Ben-Israel, A note on an iterative method for generalized inversion of matrices. Math. Comput., 20 (1966), 439.
[3] C., Bovet, R., Gouiran, I., Gumowski, and K.H., Reich, A Selection of Formulae and Data Useful for the Design of A.G. Synchrotrons. Tech. rept. CERN/MPS-SI/Int. DL/70/4. CERN, 1970.
[4] K.L., Brown, D.C., Carey, Ch., Iselin, and F., Rothacker, TRANSPORT: A Computer Program for Designing Charged Particle Beam Transport systems. Tech. rept. SLAC- 91, NAL-91, CERN-80-04. SLAC, Fermilab, CERN, 1983.
[5] A., Chao, Physics of Collective Instabilities in High Energy Accelerators.Wiley, 1993.
[6] A., Chao and M., Month, Particle trapping during passage through a high-order nonlinear resonance. Nuclear Instruments and Methods, 121 (1974), 129–138.
[7] A., Chao, D., Johnson, S., Peggs, J., Peterson, C., Saltmarsh, L., Schachinger, R., Meller, R., Siemann, R., Talman, P., Morton, D., Edwards, D., Finley, R., Gerig, N., Gelfand, M., Harrison, R., Johnson, N., Merminga, and M., Syphers, Experimental investigation of nonlinear dynamics in the Fermilab Tevatron. Physical Review Letters, 61:24 (1988), 2752–2756.
[8] T., Chen, A., Gerasimov, B., Cole, D., Finley, G., Goderre, M., Harrison, R., Johnson, I., Kourbanis, C., Manz, N., Merminga, L., Michelotti, S., Peggs, F., Pilat, S., Pruss, C., Saltmarsh, S., Saritepe, T., Satogata, R., Talman, C.G., Trahern, and G., Tsironis, Measurements of a Hamiltonian system and their description by a diffusive model. Physical Review Letters, 68:1 (1992), 33–37.
[9] B., Chirikov, A universal instability of many-dimensional oscillator systems. Physics Reports, 52:5 (1979), 263–379.
[10] B., Chirikov, M., Lieberman, D., Shepelyansky, and F., Vivaldi, A theory of modulational diffusion. Physica D, 14:3 (1985), 289–304.
[11] M., Conte and W.M., MacKay, An Introduction to the Physics of Particle Accelerators. World Scientific, 1991.
[12] H.S., Dumas, The KAM Story. World Scientific, 2014.
[13] D., Edwards, Oscillation Damping Factors for Off-Momentum Orbits in Electron Storage Rings. Tech. rept. FNAL TM-566 1501. Fermilab, 1975.
[14] D., Edwards and L., Teng, Parameterization of linear coupled motion in periodic systems. IEEE Transactions of Nuclear Science, 20:3 (1973), 885–888.
[15] W., Fischer, Private communication, 2014.
[16] W., Gabella, J., Rosenzweig, R., Kick, and S., Peggs, RF voltage modulation at discrete frequencies with applications to crystal channeling extraction. Particle Accelerators, 42 (1993), 235–257.
[17] H., Grote, F., Schmidt, L., Deniau, and G., Roy, MAD - Methodical Accelerator Design, 2015.
[18] M., Harrison, S., Peggs, and T., Roser, The RHIC accelerator. Annual Review of Nuclear and Particle Science, 52 (2002), 425–469.
[19] M., Hénon, Numerical study of quadratic area-preserving mappings. Quarterly of Applied Math, 27:3 (1969), 291.
[20] D.R., Hofstadter, Metamagical Themas: Questing for the Essence of Mind and Pattern. Basic Books, 1985.
[21] J.D., Jackson, Classical Electrodynamics. John Wiley and Sons, 1998.
[22] J., Johnstone, A Simplified Analysis of Resonant Extraction at the Main Injector; A Numerical Simulation of Resonant Extraction. Tech. rept. MI-0091; MI-0095. Fermilab, 1993.
[23] I.M., Kapchinsky and V.A., Teplyakov, Linear ion accelerator with spatially homogeneous strong focusing. Pribory i Tekhnika Eksperimenta, 2 (1970), 19–22.
[24] E., Keil, Beam-Beam Dynamics. Tech. rept. CERN-SL-94-78-AP. CERN, 1994.
[25] Y., Kobayashi, Theory of the resonant beam ejection from synchrotrons. Nuclear Instruments and Methods, 83 (1970), 77–87.
[26] G., Kulipanov, S., Mishnev, S., Popov and G., Tumaikin, Influence of nonlinearities in driven betatron oscillations. Novosibirsk Preprint INP, 68:251 (1968).
[27] J. Le, Duff, Dynamics and acceleration in linear structures. In: CAS-CERN Accelerator School, 1992 (CERN-1994-001), 1994.
[28] V., Lebedev, N., Solyak, J.-F., Ostiguy, A., Alexandrov, and A., Shishlo, Intrabeam stripping in H - linacs. In: LINAC10, 2010.
[29] S.Y., Lee, M., Ball, B., Brabson, D., Caussyn, J., Collins, S., Curtis, V., Derenchuck, D., DuPlantis, G., East, M., Ellison, T., Ellison, D., Friesel, B., Hamilton, W.P., Jones, W., Lamble, D., Li, M., Minty, P., Schwandt, T., Sloan, G., Xu, A., Chao, S., Tepikian, and K.Y., Ng, Experimental determination of a nonlinear Hamiltonian in a synchrotron. Physical Review Letters, 67:27 (1991), 3768–3771.
[30] C., Leemann, D., Douglas, and G., Krafft, The continuous electron beam accelerator facility: CEBAF at the Jefferson Laboratory. Annual Review of Nuclear and Particle Science, 51 (2001), 413–450.
[31] A., Lichtenberg and M., Lieberman, Regular and Stochastic Motion. Springer-Verlag, 1983.
[32] L., Merminga, D., Douglas, and G., Krafft, High-Current energy-recovering electron linacs. Annual Review of Nuclear and Particle Science, 53 (2003), 387–429.
[33] N., Merminga, A Study of Nonlinear Dynamics in the Fermilab Tevatron. Ph.D. thesis, University of Michigan, 1989.
[34] K.-H., Mess, P., Schmüser, and S., Wolff, Superconducting Accelerator Magnets. World Scientific, 1996.
[35] J.B., Murphy, Synchrotron Light Source Data Book. http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.41969:BNL Report 42333, 1996.
[36] H., Padamsee, J., Knobloch, and T., Hays, RF Superconductivity for Accelerators. Wiley-VCH, 2008.
[37] V., Pan and J., Reif, In: Proc. of 17th Ann. ACM Symp. on Theory of Computing, 1985.
[38] S., Peggs, Some Aspects of Machine Physics in the Cornell Electron Storage Ring. Ph.D. thesis, Cornell University, 1981.
[39] S., Peggs, Coupling and decoupling in storage rings. IEEE Transactions of Nuclear Science, 30:4 (1983), 2460–2462.
[40] S., Peggs, Hamiltonian Theory of the E778 Nonlinear Dynamics Experiment. Tech. rept. SSC-175; CERN 88-04. SSC, CERN, 1988.
[41] S., Peggs, Feedback between accelerator physicists and magnet builders. In: Proc. of the LHC Single Particle Dynamics Workshop, Montreux; also RHIC/AP/80, 1995.
[42] S., Peggs and J., Wei, Longitudinal Phase Space Parameters. Tech. rept. RHIC/AP/ 106. BNL, 1996.
[43] S., Peggs and R.M., Talman, Nonlinear problems in accelerator physics. Annual Review of Nuclear and Particle Science, 36 (1986), 287–325.
[44] H., Poincaré, Les Methods Nouvelle de la Mechanique Celestes. Gautier-Vilars, 1892.
[45] E., Pozdeyev, Regenerative multipass beam breakup in two dimensions. Physical Review Accelerators and Beams, 8:054401 (2005), 1–17.
[46] M., Sands, The Physics of Electron Storage Rings. Tech. rept. SLAC-121. SLAC, 1970.
[47] T., Satogata, Nonlinear Resonance Islands and Modulational Effects in a Proton Synchrotron. Ph.D. thesis, Northwestern University, 1993.
[48] T., Satogata, T., Chen, B., Cole, D., Finley, A., Gerasimov, G., Goderre, M., Harrison, R., Johnson, I., Kourbanis, C., Manz, N., Merminga, L., Michelotti, S., Peggs, F., Pilat, S., Pruss, C., Saltmarsh, S., Saritepe, R., Talman, C.G., Trahern, and G., Tsironis, Driven response of a trapped particle beam. Physical Review Letters, 68:12 (1992), 1838–1841.
[49] F., Schmidt and F., Willeke, Nonlinear beam dynamics close to resonances excited by sextupole fields. In: EPAC88, 1988.
[50] SLAC Linac Coherent Light Source II (LCLS-II) Conceptual Design Report. Tech. rept. SLAC-R-978. SLAC, 2011.
[51] P., Stewart, Jacobellis v. Ohio. U.S. Supreme Court, 1964.
[52] L.G., Taff, Celestial Mechanics. Wiley, 1985.
[53] C., Tennant, ‘Energy Recovery Linacs’, in Challenges and Goals for Accelerators in the XXI Century. World Scientific, 2016.
[54] D., Trbojevic and M., Harrison, Design and multiparticle simulation of the half-integer slow extraction system for the Main Injector. In: PAC91, 1991.
[55] F., Vivaldi, Weak instabilities in many-dimensional Hamiltonian systems. Reviews of Modern Physics, 56:4 (1984), 737–755.
[56] M., Vretenar, The radio-frequency quadrupole. CERN-2013-001, 207–223, 2013.
[57] T., Wangler, RF Linear Accelerators. Wiley-VCH, 2008.
[58] J., Wei, Longitudinal Dynamics of the Non-Adiabatic Regime of Alternating Gradient Synchrotrons. Ph.D. thesis, Stony Brook University, 1990.
[59] Wikipedia. List of Accelerators in Particle Physics.
[60] Wikipedia. List of Synchrotron Radiation Facilities.