References
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Escande DF (1985) Phys. Rep. 121:165
Escande DF, Doveil F (1981) J Stat Phys 26:257
Fermi E (1949) Phys Rev 75:1169
Greene JM (1979a) J Math Phys 20:1183
Greene JM (1979b) In: Month M, Herrera JC (ed) Nonlinear orbit dynamics and the beam-beam
interaction. AIP conference proceedings, vol 59. American Institute of Physics, New York,
p 257
Greene JM, MacKay RS, Vivaldi F, Feigenbaum MJ (1981) Physica D 3:468
Greene JM, MacKay RS, Stark J (1986) Physica D 21:267
Hardy GH, Wright EM (1979) Introduction to the theory of numbers. Clarendon, Oxford
Katok A (1982) Ergodic Theor Dyn Syst 2:185
Lieberman MA, Lichtenberg AJ (1972) Phys Rev A 5:1852
MacKay RS (1982) Renormalization in area-preserving maps, Ph.D. dissertation. Princeton
University (University Microfilms, Ann Arbor)
MacKay RS (1983a) Physica D 7:283
MacKay RS (1983b) Period-doubling as a Universal Route to Stochasticity. In: Horton W, Reichl
LE, Szebehely V, Reichl LE, Szebehely V (eds) Long time prediction in dynamics. John Wiley
and Sons, New York
MacKay RS, Meiss JD, Percival IC (1984) Physica D 13:55
Mather JN (1982) Topology 21:457
Meyer KR (1970) Trans Am Math Soc 149:95
Moser J (1973) Stable and random motions in dynamical systems. Princeton University Press,
Princeton
Percival IC (1979) Nonlinear dynamics and the Beam-Beam interaction. In: Month M, Herrera JC
(eds) AIP conference proceedings, vol 57. American Institute of Physics, New York, p 302
Petrosky TY (1986) Phys Lett A 117:328
Prasad AV 1948 J London Math Soc 23:169
Shenker SJ, Kadanoff LP (1982) J Stat Phys 27:631
Ulam SM (1961) Proceedings of the fourth berkeley symposium on mathematical statistics and
probabilities, vol 3. University of California Press, Berkeley
Zaslavsky GM, Chirikov BV (1965) Sov Phys Dokl 9:989
97
Escande DF (1985) Phys. Rep. 121:165
Escande DF, Doveil F (1981) J Stat Phys 26:257
Fermi E (1949) Phys Rev 75:1169
Greene JM (1979a) J Math Phys 20:1183
Greene JM (1979b) In: Month M, Herrera JC (ed) Nonlinear orbit dynamics and the beam-beam
interaction. AIP conference proceedings, vol 59. American Institute of Physics, New York,
p 257
Greene JM, MacKay RS, Vivaldi F, Feigenbaum MJ (1981) Physica D 3:468
Greene JM, MacKay RS, Stark J (1986) Physica D 21:267
Hardy GH, Wright EM (1979) Introduction to the theory of numbers. Clarendon, Oxford
Katok A (1982) Ergodic Theor Dyn Syst 2:185
Lieberman MA, Lichtenberg AJ (1972) Phys Rev A 5:1852
MacKay RS (1982) Renormalization in area-preserving maps, Ph.D. dissertation. Princeton
University (University Microfilms, Ann Arbor)
MacKay RS (1983a) Physica D 7:283
MacKay RS (1983b) Period-doubling as a Universal Route to Stochasticity. In: Horton W, Reichl
LE, Szebehely V, Reichl LE, Szebehely V (eds) Long time prediction in dynamics. John Wiley
and Sons, New York
MacKay RS, Meiss JD, Percival IC (1984) Physica D 13:55
Mather JN (1982) Topology 21:457
Meyer KR (1970) Trans Am Math Soc 149:95
Moser J (1973) Stable and random motions in dynamical systems. Princeton University Press,
Princeton
Percival IC (1979) Nonlinear dynamics and the Beam-Beam interaction. In: Month M, Herrera JC
(eds) AIP conference proceedings, vol 57. American Institute of Physics, New York, p 302
Petrosky TY (1986) Phys Lett A 117:328
Prasad AV 1948 J London Math Soc 23:169
Shenker SJ, Kadanoff LP (1982) J Stat Phys 27:631
Ulam SM (1961) Proceedings of the fourth berkeley symposium on mathematical statistics and
probabilities, vol 3. University of California Press, Berkeley
Zaslavsky GM, Chirikov BV (1965) Sov Phys Dokl 9:989