Effective Hamiltonian for travelling discrete breathers

Journal of Physics A: Mathematical and General

Volumn 35, Issue 18, 2002, Pages 3985-4002

  MacKay, Robert S ^a   Sepulchre, Jacques Alexandre ^b  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b Laboratoire d'Electronique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037053082     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/18/301     Document Type: Article

References (21)

1. MacKay R S 2000 Discrete breathers: classical and quantum Physica A 288 174-98
2. Aubry S and Cretegny T 1998 Mobility and reactivity of discrete breathers Physica D 119 34-46
3. Flach S and Kladko K 1999 Moving discrete breathers? Physica D 127 61-72
4. Ablowitz M J and Ladik J F 1976 Nonlinear differential-difference equations and Fourier analysis J. Math. Phys. 17 1011-8
5. MacKay R S and Rothos V in preparation
6. Sandusky K W, Page J B and Schmidt K E 1992 Stability and motion of intrinsic localized modes in nonlinear periodic lattices Phys. Rev. B 46 6161-8
7. Claude Ch, Kivshar Yu S, Kluth O and Spatschek K H 1993 Moving localized modes in nonlinear lattices Phys. Rev. B 47 14228-32
8. Flach S and Willis C R 1994 Movability of localized excitations in nonlinear discrete systems Phys. Rev. Lett. 72 1777
9. Bang O and Peyrard M 1995 Higher order breather solutions to a discrete Klein-Gordon model Physica D 81 9-22
10. 4 non-linear lattices Phys. Rev. Lett. 77 4776-9
11. Ahn T, MacKay R S and Sepulchre J-A 2001 Dynamics of relative phases: generalised multibreathers Nonlinear Dyn. 25 157-82
12. MacKay R S 2001 Hamiltonian slow manifolds Talk presented at SIAM Snowbird (May 2001) written version in progress
13. Weinstein A 1978 Bifurcations and Hamilton's principle Math. Z. 159 235-48
14. Scott A 1999 Nonlinear Science Emergence and Dynamics of Coherent Structures (Oxford: Oxford University Press)
15. Salerno M 1992 Quantum deformations of the discrete nonlinear Schrödinger equation Phys. Rev. A 46 6856-9
16. Poggi P and Ruffo S 1997 Exact solutions in the FPU oscillator chain Physica D 103 339-403
17. Rink B and Verhulst F 2000 Near-integrability of periodic FPU-chains Physica A 285 467-82
18. Rink B 2001 Symmetry and resonance in periodic FPU chains Commun. Math. Phys. 218 665-85
19. Saichev A and Woyczynski W A 1997 Distributions in the Physical and Engineering Sciences (Boston, MA: Birkhauser)
20. James G 2001 Existence of breathers on FPU lattices C. R. Acad. Sci., Paris 332 581-6
21. Tsironis G P, Ibanes M and Sancho J M 2000 Localized energy transport in biopolymer models with rigidity Preprint http://www.ma.hw.ac.uk/LOCNET/publications.html