Discrete breathers in anharmonic models with acoustic phonons
Annales de l'I.H.P. Physique théorique, Volume 68 (1998) no. 4, p. 381-420
@article{AIHPA_1998__68_4_381_0,
     author = {Aubry, Serge},
     title = {Discrete breathers in anharmonic models with acoustic phonons},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {68},
     number = {4},
     year = {1998},
     pages = {381-420},
     zbl = {0905.70017},
     mrnumber = {1634310},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1998__68_4_381_0}
}
Aubry, Serge. Discrete breathers in anharmonic models with acoustic phonons. Annales de l'I.H.P. Physique théorique, Volume 68 (1998) no. 4, pp. 381-420. http://www.numdam.org/item/AIHPA_1998__68_4_381_0/

[1] A.J. Sievers and S. Takeno, Phys. Rev. Letts., Vol. 61, 1988, p. 970.

[2] S. Flach, and C.R. Willis, Phys. Rep., Vol. 295, 1998. | MR 1607320

[3] R.S. Mackay and S. Aubry, Nonlinearity, Vol. 7, 1994, pp. 1623-1643. | MR 1304442 | Zbl 0811.70017

[4] S. Aubry and G. Abramovici, Physica, Vol. 43D, 1990, pp. 199-219. | MR 1067910

[5] S. Aubry, Physica, Vol. 71D, 1994, pp. 196-221. | MR 1264115

[6] S. Aubry, Physica, 103D, 1997, pp. 201-250. | MR 1464249

[7] R.S. Mackay and J.-A. Sepulchre, Physica, 82D, 1995, pp. 243-254. | MR 1326557 | Zbl 0891.34060

[8] J.-A. Sepulchre and R.S. Mackay, Nonlinearity, Vol. 10, 1997, pp. 1-35. | MR 1448582

[9] J.-L. Mariñ and S. Aubry, Nonlinearity, Vol. 9, 1996, pp. 1501-1528. | MR 1419458 | Zbl 0926.70028

[10] R. Livi, M. Spicci and R.S. Mackay, Nonlinearity, Vol. 10, 1997, pp. 1421-1434. | MR 1483550 | Zbl 0917.70022

[11] R.S. Mackay, communication at workshop, Discrete Breathers held in Dresden, Apr. 7-11, 1997.

[12] K. Forinash, T. Cretegny and M. Peyrard, Phys. Rev., Vol. E55, 1997, p. 4740.

[13] J. Dieudonné, Fondation of Modern Analysis, Academic Press, 1969. | MR 349288 | Zbl 0176.00502

[14] V.I. Arnol'D and A. Avez, Ergodic Problems of Classical Mechanics, W. A. Benjamin Inc., 1968. | MR 232910 | Zbl 0167.22901

[15] S. Aubry, in preparation.

[16] J.L. Mariñ and S. Aubry, Finite Size Effects on Instabilities of Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997). | Zbl 0942.37050

[17] C. Baesens, S. Kim and R. Mackay, Localized Modes on Coherent structures, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997).

[18] T. Cretegny and S. Aubry, Phys. Rev., B55, 1997, R 11929-32.

[19] G. Tsironis, Private communication.

[20] T. Cretegny and S. Aubry, 1D Phonon Scattering by Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997).

[21] S. Aubry and T. Cretegny, Mobility and Reactivity of Discrete Breathers, Physica D to appear (Proceedings, Dresden, Apr. 7-11, 1997). | MR 1644681 | Zbl 1030.34501

[22] Persistent Spectral Hole-Burning: Science and Applications, Ed. W. E. Moerner, Springer-Verlag, Berlin, 1988.

[23] B.P. Barber, R.A. Hiller, R. Loefstedt, S.J. Putterman, K.R. Weninger, Defining the unknown of Sonoluminescence, Physics Reports, 281, vol. 2, 1997.