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References
T. Riste, E.J. Samuelsen, K. Otnes, J. Feder, Solid State Commun. 9, 1455 (1971)
S.M. Shapiro, J.D. Axe, G. Shirane, T. Riste, Phys. Rev. B 6, 4332 (1972).
L.N. Dursvala and R.W. Gammon, Phys. Rev. Lett. 38, 1081 (1977).
K.B. Lyons and P.A. Fleury, Phys. Rev. Lett. 37, 161 (1976).
J.A. Krumhansl and R.J. Schrieffer, Phys. Rev. B 11, 3535 (1975).
S. Aubry, J. Chem. Phys. 64, 3392 (1976).
T. Schneider and E. Stoll, Phys. Rev. B 13, 1216 (1976).
T. I. Halperin and C.M. Varma, Phys. Rev. B 14, 4030 (1976).
M. Iizumi, J.D. Axe, G. Shirane, and K. Shimaoka, Phys. Rev. B 15, 4392 (1977).
S. Aubry, Thesis, University Pierre et Marie Curie (Paris) 1975.
I.S. Gradshteyn and I.M. Ryshik, Table of Integral Series and Products, Academic Press, New York and London, p. 904.
M. Henon, Quat. Appl. Math. 27, 291 (1970).
V.I. Arnold and A. Aveze, Ergodic Problems in Classical Mechanics, W.A. Benjamin, Inc. (1968).
J. Moser, Stable and Random Motions in Dynamical Systems, Princeton University Press (1973).
S. Aubry, to be published in J. Math. Phys.
S. Aubry, Manuscript in preparation.
See, for example, W. Dieterich, Adv. in Phys. 25, 615 and references therein.
S.C. Ying, Phys. Rev. B 3, 4160 (1971).
W.D. Ellenson, S.M. Shapiro, G. Shirane, A.F. Garito, to be published in Phys. Rev. B (1977).
M. Henon, Comm. Math. Phys. 50, 69 (1976).
Y. Pomeau, Private communication.
M.E. Fisher, Rev. Mod. Phys. 46, 597 (1974); D. Nelson and M.E. Fisher, Ann. Phys. 91, 226 (1975).
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Aubry, S. (1979). Some non-linear physics in crystallographic structures. In: Casati, G., Ford, J. (eds) Stochastic Behavior in Classical and Quantum Hamiltonian Systems. Lecture Notes in Physics, vol 93. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021745
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DOI: https://doi.org/10.1007/BFb0021745
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