On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation

Physica D: Nonlinear Phenomena

Volumn 194, Issue 1-2, 2004, Pages 127-150

  Alfimov, G L ^a,c   Brazhnyi, V A ^b   Konotop, V V ^b  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b UNIVERSITY OF LISBON   (Portugal)

^c KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

Bifurcations; Discrete breather; Discrete nonlinear Schr dinger equation; Intrinsic localized modes

Indexed keywords

BIFURCATION (MATHEMATICS); CODES (SYMBOLS); COMPUTATION THEORY; COMPUTER SIMULATION; PROBLEM SOLVING; THEOREM PROVING;

DISCRETE BREATHER; DISCRETE NONLINEAR SCHRÖINGER EQUATION; DYNAMICAL SYSTEMS; INTRINSIC LOCALIZED MODES;

NONLINEAR EQUATIONS;

EID: 2942616545     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2004.02.001     Document Type: Article

References (24)

1. Hennig D., Tsironis G., Phys. Rep. 307:1999;333.
2. Kevrekidis P.G., Rasmussen K.Ø., Bishop A.R., Int. J. Mod. Phys. B. 15:2001;2833.
3. Flach S., Willis C.R., Phys. Rep. 295:1998;181.
4. J.Ch. Eilbeck, M. Johansson, in: L. Vázquez, R.S. MacKay, M.P. Zorzano (Eds.), Localization and Energy Transfer in Nonlinear Systems, World Scientific, Singapore, 2003, p. 44. nlin.PS/0211049 .
5. Abdullaev F.Kh., Baizakov B.B., Darmanyan S.A., Konotop V.V., Salerno M., Phys. Rev. A. 64:2001;043606 Alfimov G.L., Kevrekidis P.G., Konotop V.V., Salerno M., Phys. Rev. E. 66(4):2002;046608.
6. Abdullaev F.Kh., Baizakov B.B., Darmanyan S.A., Konotop V.V., Salerno M., Phys. Rev. A. 64:2001;043606 Alfimov G.L., Kevrekidis P.G., Konotop V.V., Salerno M., Phys. Rev. E. 66(4):2002;046608.
7. Kalosakas G., Aubry S., Tsironis G.P., Phys. Rev. B. 58:1998;3094.
8. A.M. Morgante, M. Johansson, G. Kopidakis, et. al., Physica D 162 (2002) 53.
9. Sievers A.J., Takeno S., Phys. Rev. Lett. 61:1988;970.
10. Page J.B., Phys. Rev. B. 41:1990;7835.
11. Laedke E.W., Kluth O., Spatschek K.H., Phys. Rev. E. 54:1996;4299.
12. Darmanyan S., Kobyakov A., Lederer F., Sov. Phys. JETP. 86:1998;682.
13. Bergamin J.M., Bountis T., Jung C., J. Phys. A: Math. Gen. 33:2000;8059.
14. Bergamin J.M., Bountis T., Vrahatis M.N., Nonlinearity. 15:2002;1603.
15. MacKay R.S., Aubry S., Nonlinearity. 7:1994;1623.
16. Sterling D., Dullin H.R., Meiss J.D., Physica D. 134:1999;153.
17. Dullin H.R., Meiss J.D., Physica D. 143:2000;265.
18. Hennig D., Sun N.G., Gabriel H., Tsironis G.P., Phys. Rev. E. 52:1995;255.
19. Hennig D., Rasmussen K.Ø., Gabriel H., Bülow A., Phys. Rev. E. 54:1996;5788.
20. R.W. Easton, Geometric Methods for Discrete Dynamical Systems, Oxford University Press, Oxford, 1998.
21. Davis M.J., MacKay R.S., Sannami A., Physica D. 52:1991;171.
22. Kevrekidis P.G., Phys. Rev. E. 64:2001;026611.
23. Jones C.K.R.T., Ergod. Theor. Dynam. Syst. 8:1988;119.
24. Grillakis M., Commun. Pure. Appl. Math. 41:1988;747.