Exponential localization of linear response in networks with exponentially decaying coupling

Nonlinearity

Volumn 10, Issue 4, 1997, Pages 931-940

  Baesens, C ^a,b   MacKay, R S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000054593     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/4/008     Document Type: Article

References (13)

1. Aubry S, Abramovici G and Raimbault J-L 1992 Chaotic polaronic and bipolaronic states in the adiabatic Holstein model J. Stat. Phys. 67 675-780
2. Aubry S, MacKay R S and Baesens C 1992 Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models Physica D 56 123-34
3. Baesens C and MacKay R S 1993 Cantori for multiharmonic maps Physica D 69 59-76
4. Baesens C and MacKay R S 1994 Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations Nonlinearity 7 59-84
5. Baesens C and MacKay R S 1997 Finite coherence length for equilibrium states of generalised adiabatic Holstein models J. Math. Phys. 38 2104-14
6. Baesens C, Kim S and MacKay R S 1997 Localised modes on localised equilibria Physica D to appear
7. Livi R, Spicci M and MacKay RS 1997 Breathers on a diatomic FPU chain Nonlinearity submitted
8. MacKay R S 1996 Dynamics of networks: Features which persist from the uncoupled limit Stochastic and Spatial Structures of Dynamical Systems ed S J van Strien and S M Verduyn Lunel (Amsterdam: North-Holland) pp 81-104
9. MacKay R S 1997 Gibbs potentials for coupled map lattices in preparation
10. 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
11. MacKay R S and Baesens C 1993 A new paradigm in quantum chaos: Aubry's theory of equilibrium states for the adiabatic Holstein model Quantum Chaos ed G Casati, I Guarneri and U Smilansky (Amsterdam: North-Holland) pp 51-75
12. MacKay R S and Sepulchre J-A 1995 Multistability in networks of weakly coupled bistable units Physica D 82 243-54
13. Sepulchre J-A and MacKay RS 1997 Localised oscillations in conservative and dissipative networks of weakly coupled autonomous oscillators Nonlinearity 10 679