Algebraic localisation of linear response in networks with algebraically decaying interaction, and application to discrete breathers in dipole-dipole systems

Helvetica Physica Acta

Volumn 72, Issue 1, 1999, Pages 23-32

  Baesens, Claude ^a,b   MacKay, Robert S ^a  

^a DAMTP   (United Kingdom)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039626603     PISSN: 00180238     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Baesens, C., MacKay, R.S., Exponential localization of linear response in networks with exponentially decaying coupling, Nonlinearity 10 (1997) 931-940.
2. Jakob, P., Dynamics of the C - O stretch overtone vibration of CO/Ru(001), Phys. Rev. Lett. 77 (1996) 4229-32.
3. MacKay, R.S., Aubry, S., Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators, Nonlinearity 7 (1994) 1623-43.
4. Sepulchre, J.-A., MacKay, R.S., Localised oscillations in conservative and dissipative networks of weakly coupled autonomous oscillators, Nonlinearity 10 (1997) 679-713.
5. Zygmund, A., Trigonometric series (Cambridge University Press, 1959).
6. Flach, S., Conditions on the existence of localized excitations in nonlinear discrete systems, Phys. Rev. E 50 (1994) 3134-42.
7. Flach, S., Obtaining breathers in nonlinear Hamiltonian lattices, Phys. Rev. E 51 (1995) 3579-87.