Numerical study of breathers in a bent chain of oscillators with long-range interaction

Journal of Physics A: Mathematical and General

Volumn 34, Issue 33, 2001, Pages 6363-6373

  Archilla, J F R ^a   Christiansen, P L ^b   Mingaleev, S F ^c   Gaididei, Yu B ^c  

^a UNIVERSITY OF SEVILLE   (Spain)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035943564     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/33/301     Document Type: Article

References (27)

1. MacKay R S and Aubry S 1994 Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators Nonlinearity 7 1623-43
2. Marín J L and Aubry S 1995 Breathers in nonlinear lattices: numerical methods based on the anti-integrability concept Nonlinear Klein-Gordon and Schrödinger Systems: Theory and Applications ed L Vázquez, L Streit and V M Pérez-García (Singapore: World Scientific) pp 317-23
3. Marín J L and Aubry S 1996 Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit Nonlinearity 9 1501-28
4. Aubry S 1997 Breathers in nonlinear lattices: existence, linear stability and quantization Physica D 103 201-50
5. Marín J L, Aubry S and Floría L M 1998 Intrinsic localized modes: discrete breathers, existence and linear stability Physica D 113 283-92
6. Flach S and Willis C R 1998 Discrete breathers Phys. Rep. 295 181-264
7. Swanson B I, Brozik J A, Love S P, Strouse G F, Shreve A P, Bishop A R, Wang W Z and Salkola M I 1999 Observation of intrinsically localized modes in a discrete low-dimensional material Phys. Rev. Lett. 82 3288-91
8. Russell F M, Zolotaryuk Y, Eilbeck J C and Dauxois T 1997 Moving breathers in a chain of magnetic pendulums Phys. Rev. B 55 6304-8
9. Schwarz U T, English L Q and Sievers A J 1999 Experimental generation and observation of intrinsic localized spin wave modes in an antiferromagnet Phys. Rev. Lett. 83 223-6
10. Trias E, Mazo J J and Orlando T P 2000 Discrete breathers in nonlinear lattices: experimental detection in a Josephson array Phys. Rev. Lett. 84 741-4
11. Binder P, Abraimov D, Ustinov A V, Flach S and Zolotaryuk Y 2000 Observation of breathers in Josephson ladders Phys. Rev. Lett. 84 745-8
12. Binder P, Abraimov D and Ustinov A V 2000 Diversity of discrete breathers observed in a Josephson ladder Phys. Rev. E 62 2858-62
13. Sepulchre J A and MacKay R S 1998 Discrete breathers in disordered media Physica D 113 342-5
14. Archilla JFR, MacKay R S and Marín J L 1999 Discrete breathers and Anderson modes: two faces of the same phenomenon? Physica D 134 406-18
15. Kopidakis G and Aubry S 1999 Intraband discrete breathers in disordered nonlinear systems i: delocalization Physica D 130 155-86
16. Ting J J L and Peyrard M 1996 Effective breather trapping mechanism for DNA transcription Phys. Rev. E 53 1011-20
17. Forinash K, Cretegny T and Peyrard M 1997 Local modes and localization in a multicomponent nonlinear lattice Phys. Rev. E 55 4740-56
18. Gaididei Yu B, Mingaleev S F, Christiansen P L and Rasmussen K Ø 1997 Effects of nonlocal dispersive interactions on self-trapping excitations Phys. Rev. E 55 6141-50
19. Mingaleev S F, Christiansen P L, Gaididei Yu B, Johansson M and Rasmussen K Ø 1999 Models for energy and charge transport and storage in biomolecules J. Biol. Phys. 25 41-63
20. Christiansen P L, Johanson M, Gaididei Yu B and Rasmussen K Ø 1998 Solitary excitations in discrete two-dimensional nonlinear Schrödinger models with dispersive dipole-dipole interactions Phys. Rev. B 57 11303-18
21. Gaididei Y B, Mingaleev S F and Christiansen P L 2000 Curvature-induced symmetry breaking in nonlinear Schrödinger models Phys. Rev. E 62 R53-6
22. Christiansen P L, Gaididei Y B and Mingaleev S F 2001 Effects of finite curvature on soliton dynamics in a chain of nonlinear oscillators J. Phys.: Condens. Matter 20 1181-92
23. Flach S 1998 Breathers on lattices with long range interaction Phys. Rev. E 58 R4116-9
24. Baesens C and Mackay RS 1999 Algebraic localization of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipole systems Helv. Phys. Acta 72 23-3
25. MacKay R S and Sepulchre J A 1998 Stability of discrete breathers Physica D 119 148-62
26. Aubry S and Cretegny T 1998 Mobility and reactivity of discrete breathers Physica D 119 34-46
27. Sanz-Serna J M and Calvo M P 1994 Numerical Hamiltonian Problems (London: Chapman and Hall)