Breathers in nonlinear lattices: Existence, linear stability and quantization

MacKay, 1994, Nonlinearity, 7, 1623, 10.1088/0951-7715/7/6/006

Aubry, 1990, Physica D, 43, 199, 10.1016/0167-2789(90)90133-A

Aubry, 1992, The concept of anti-integrability: Definition, theorems and applications, Vol. 44, 7

Aubry, 1994, Physica D, 71, 196, 10.1016/0167-2789(94)90190-2

Aubry, 1995, Physica D, 86, 284, 10.1016/0167-2789(95)00109-H

Segur, 1987, Phys. Rev. Lett., 58, 747, 10.1103/PhysRevLett.58.747

Kitchenassamy, 1991, Comm. Pure Appl. Math., 44, 789, 10.1002/cpa.3160440704

Denzler, 1993, Comm. Math. Phys., 158, 397, 10.1007/BF02108081

Arnold, 1968, Vol. 29

Moser, 1973, Stable and Random Motion in Dynamical Systems

Bernstein, 1990, Nonlinearity, 3, 293, 10.1088/0951-7715/3/2/004

Aubry, 1992, Physica D, 56, 123, 10.1016/0167-2789(92)90019-J

Chaté, 1997, Physica D

MacKay, 1995, Multistability in networks of weakly coupled bistable units, Physica D, 82, 243, 10.1016/0167-2789(94)00243-J

MacKay, 1996, Dynamics of networks: Features which persist from the uncoupled limit

R.S. MacKay, Private communication.

Eilbeck, 1983, Physica D, 16, 318, 10.1016/0167-2789(85)90012-0

Sievers, 1988, Phys. Rev. Lett., 61, 970, 10.1103/PhysRevLett.61.970

Takeno, 1988, Progr. Theoret. Phys. Suppl., 94, 242, 10.1143/PTPS.94.242

Page, 1990, Phys. Rev. B, 41, 2821, 10.1103/PhysRevB.41.7835

Campbell, 1990

Takeno, 1992, J. Phys. Soc. Japan, 61, 2821, 10.1143/JPSJ.61.2821

Flach, 1994, Phys. Rev., 49, 836

Flach, 1994, Phys. Rev. Lett., 72, 1777, 10.1103/PhysRevLett.72.1777

Flach, 1994, Phys. Rev. E, 50, 2293, 10.1103/PhysRevE.50.2293

Dauxois, 1992, Physica D, 57, 267, 10.1016/0167-2789(92)90003-6

Dauxois, 1993, Phys. Rev. Lett., 70, 3935, 10.1103/PhysRevLett.70.3935

J.L. Mariñ and S. Abury, preprint (1995); Nonlinearity, submitted.

J.L. Mariñ and S. Aubry, in preparation.

Dieudonne, 1969

Flach, 1995, Phys. Rev. E, 51

Kivshar, 1993, Phys. Rev. E, 48, R43, 10.1103/PhysRevE.48.R43

Aubry, 1978, Vol. 8, 264

Aubry, 1983, Physica D, 7, 240, 10.1016/0167-2789(83)90129-X

Aubry, 1986, Structures Incommensurables et Brisure de la Symétrie de Translation in Structure et Instabilités, 73

Fillaux, 1992, Phys. Rev. B, 42, 5990, 10.1103/PhysRevB.42.5990

Takeno, 1996, Physica D, 92, 140, 10.1016/0167-2789(95)00284-7

Cretegny, 1997, Phys. Rev. B

S. Aubry, in preparation.

Floria, 1996, Europhys. Lett., 36, 539, 10.1209/epl/i1996-00266-0

Tamga, 1993, Phys. Rev. B, 47, 14866, 10.1103/PhysRevB.47.14866

Tamga, 1995, Phys. Rev. Lett., 75, 357, 10.1103/PhysRevLett.75.357

Aubry, 1992, J. Statist. Phys., 67, 675, 10.1007/BF01049725

Baesens, 1994, Nonlinearity, 7, 59, 10.1088/0951-7715/7/1/004

Kitte, 1963

Woll, 1962, Phys. Rev., 126, 1963, 10.1103/PhysRev.126.1693

G. Kalosakas and S. Aubry, preprint.

L. Proville and S. Aubry, preprint.

Bambusi, 1996, Exponential stability of breathers in Hamiltonian network of weakly coupled oscillators, Nonlinearity, 9, 433, 10.1088/0951-7715/9/2/009

Bonjour, 1995, Helv. Phys. Acta, 68, 235

Gutzwiller, 1990

Souriau, 1970

Flach, 1994, Phys. Rev. E, 50, 3134, 10.1103/PhysRevE.50.3134

Flach, 1995, Phys. Rev. E, 51, 3579, 10.1103/PhysRevE.51.3579

Scott, 1994, Physica D, 78, 194, 10.1016/0167-2789(94)90115-5

Ablowitz, 1976, J. Math. Phys., 17, 1011, 10.1063/1.523009

Aubry, 1996, Phys. Rev. Lett., 76, 1607, 10.1103/PhysRevLett.76.1607

Takeno, 1991, J. Phys. Soc. Japan, 60, 947, 10.1143/JPSJ.60.947

Chen, 1996, Phys. Rev. Lett., 77, 4776, 10.1103/PhysRevLett.77.4776

Tsironis, 1996, Phys. Rev. Lett., 77, 5225, 10.1103/PhysRevLett.77.5225