-
1
-
-
34548328319
-
The twist map, the extended Frenkel-Kontorova model and the devil's staircase
-
S. Aubry, The twist map, the extended Frenkel-Kontorova model and the devil's staircase, Physica D 7 (1983) 240-258.
-
(1983)
Physica D
, vol.7
, pp. 240-258
-
-
Aubry, S.1
-
2
-
-
0000148713
-
Chaotic trajectories in the standard map: The concept of anti-integrability
-
S. Aubry and G. Abramovici, Chaotic trajectories in the standard map: The concept of anti-integrability, Physica D 43 (1990) 199-219.
-
(1990)
Physica D
, vol.43
, pp. 199-219
-
-
Aubry, S.1
Abramovici, G.2
-
3
-
-
44949285078
-
Effective discommensurations in the incommensurate ground states of the extended Frenkel-Kontorova models
-
S. Aubry, J.-P. Gosso, G. Abramovici, J.-L. Raimbault and P. Quemerais, Effective discommensurations in the incommensurate ground states of the extended Frenkel-Kontorova models, Physica D 47 (1991) 461-497.
-
(1991)
Physica D
, vol.47
, pp. 461-497
-
-
Aubry, S.1
Gosso, J.-P.2
Abramovici, G.3
Raimbault, J.-L.4
Quemerais, P.5
-
4
-
-
48749143267
-
The discrete Frenkel-Kontorova model and its extensions. I. Exact results for the ground state
-
S. Aubry and P.Y. Le Daeron, The discrete Frenkel-Kontorova model and its extensions. I. Exact results for the ground state, Physica D 8 (1983) 381-422.
-
(1983)
Physica D
, vol.8
, pp. 381-422
-
-
Aubry, S.1
Le Daeron, P.Y.2
-
5
-
-
0002946916
-
Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models
-
S. Aubry, R.S. MacKay and C. Baesens, Equivalence of uniform hyperbolicity for symplectic twist maps and phonon gap for Frenkel-Kontorova models, Physica D 56 (1992) 123-134.
-
(1992)
Physica D
, vol.56
, pp. 123-134
-
-
Aubry, S.1
MacKay, R.S.2
Baesens, C.3
-
6
-
-
0001893549
-
Cantori for multiharmonic maps
-
C. Baesens and R.S. MacKay, Cantori for multiharmonic maps, Physica D 69 (1993) 59-76.
-
(1993)
Physica D
, vol.69
, pp. 59-76
-
-
Baesens, C.1
MacKay, R.S.2
-
7
-
-
0012405654
-
The one to two-hole transition for cantori
-
C. Baesens and R.S. MacKay, The one to two-hole transition for cantori, Physica D 71 (1994) 372-389.
-
(1994)
Physica D
, vol.71
, pp. 372-389
-
-
Baesens, C.1
MacKay, R.S.2
-
8
-
-
0027668405
-
Multiprecision translation and execution of Fortran programs
-
D.H. Bailey, Multiprecision translation and execution of Fortran programs, ACM Trans. Math. Software 19 (1993) 288-319.
-
(1993)
ACM Trans. Math. Software
, vol.19
, pp. 288-319
-
-
Bailey, D.H.1
-
9
-
-
0000520756
-
Phonon localization in one-dimensional quasiperiodic chains
-
S.E. Burkov, B.E.C. Koltenbah and L.W. Bruch, Phonon localization in one-dimensional quasiperiodic chains, Phys. Rev. B 53 (1996) 14179-14184.
-
(1996)
Phys. Rev. B
, vol.53
, pp. 14179-14184
-
-
Burkov, S.E.1
Koltenbah, B.E.C.2
Bruch, L.W.3
-
10
-
-
0001284981
-
Pinning transition of the discrete sine-Gordon equation
-
S.N. Coppersmith and D.S. Fisher, Pinning transition of the discrete sine-Gordon equation, Phys. Rev. B 28 (1983) 2566-2579.
-
(1983)
Phys. Rev. B
, vol.28
, pp. 2566-2579
-
-
Coppersmith, S.N.1
Fisher, D.S.2
-
11
-
-
33846866830
-
Absence of localization in a class of Schrödinger operators with quasiperiodic potential
-
F. Delyon and D. Petritis, Absence of localization in a class of Schrödinger operators with quasiperiodic potential, Comm. Math. Phys. 103 (1986) 441-444.
-
(1986)
Comm. Math. Phys.
, vol.103
, pp. 441-444
-
-
Delyon, F.1
Petritis, D.2
-
12
-
-
11744257464
-
Critical behaviour at the transition by breaking of analyticity and application to the devil's staircase
-
L. de Seze and S. Aubry, Critical behaviour at the transition by breaking of analyticity and application to the devil's staircase, J. Phys. C 17 (1984) 389-403.
-
(1984)
J. Phys. C
, vol.17
, pp. 389-403
-
-
De Seze, L.1
Aubry, S.2
-
13
-
-
4243533599
-
Scaling anomaly at the critical transition of an incommensurate structure
-
J.M. Greene, H. Johannesson, B. Schaub and H. Suhl, Scaling anomaly at the critical transition of an incommensurate structure, Phys. Rev. A 36 (1987) 5858-5861.
-
(1987)
Phys. Rev. A
, vol.36
, pp. 5858-5861
-
-
Greene, J.M.1
Johannesson, H.2
Schaub, B.3
Suhl, H.4
-
14
-
-
0001437760
-
Universal criterion for the breakup of invariant tori in dissipative systems
-
J.A. Ketoja, Universal criterion for the breakup of invariant tori in dissipative systems, Phys. Rev. Lett. 69 (1992) 2180-2183.
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 2180-2183
-
-
Ketoja, J.A.1
-
15
-
-
0012405295
-
Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps
-
J.A. Ketoja and R.S. MacKay, Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps, Physica D 73 (1994) 388-398.
-
(1994)
Physica D
, vol.73
, pp. 388-398
-
-
Ketoja, J.A.1
MacKay, R.S.2
-
16
-
-
0003073069
-
Renormalization approach to quasiperiodic tight binding models
-
J.A. Ketoja and I.I. Satija, Renormalization approach to quasiperiodic tight binding models, Phys. Lett. A 194 (1994) 64-70;
-
(1994)
Phys. Lett. A
, vol.194
, pp. 64-70
-
-
Ketoja, J.A.1
Satija, I.I.2
-
17
-
-
4243780861
-
Renormalization approach to quasiperiodic quantum spin chains
-
Renormalization approach to quasiperiodic quantum spin chains, Physica A 219 (1995) 212-233;
-
(1995)
Physica A
, vol.219
, pp. 212-233
-
-
-
18
-
-
5644250826
-
The re-entrant phase diagram of the generalized Harper equation
-
The re-entrant phase diagram of the generalized Harper equation, J. Phys. Condens. Matter 9 (1997) 1123-1132.
-
(1997)
J. Phys. Condens. Matter
, vol.9
, pp. 1123-1132
-
-
-
19
-
-
0000890054
-
Self-similarity and localization
-
J.A. Ketoja and I.I. Satija, Self-similarity and localization, Phys. Rev. Lett. 75 (1995) 2762-2765.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 2762-2765
-
-
Ketoja, J.A.1
Satija, I.I.2
-
20
-
-
0000427928
-
A renormalization approach to invariant circles in area-preserving maps
-
R.S. MacKay, A renormalization approach to invariant circles in area-preserving maps, Physica D 7 (1983) 283-300.
-
(1983)
Physica D
, vol.7
, pp. 283-300
-
-
MacKay, R.S.1
-
21
-
-
0142135227
-
Scaling exponents at the transition by breaking of analyticity for incommensurate structures
-
R.S. MacKay, Scaling exponents at the transition by breaking of analyticity for incommensurate structures, Physica D 50 (1991) 71-79.
-
(1991)
Physica D
, vol.50
, pp. 71-79
-
-
MacKay, R.S.1
-
22
-
-
0000704572
-
Renormalization-group analysis of the discrete quasiperiodic Schrödinger equation
-
S. Ostlund and R. Pandit, Renormalization-group analysis of the discrete quasiperiodic Schrödinger equation, Phys. Rev. B 29 (1984) 1394-1414.
-
(1984)
Phys. Rev. B
, vol.29
, pp. 1394-1414
-
-
Ostlund, S.1
Pandit, R.2
-
23
-
-
36149038084
-
Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model
-
M. Peyrard and S. Aubry, Critical behaviour at the transition by breaking of analyticity in the discrete Frenkel-Kontorova model, J. Phys. C 16 (1983) 1593-1608.
-
(1983)
J. Phys. C
, vol.16
, pp. 1593-1608
-
-
Peyrard, M.1
Aubry, S.2
-
24
-
-
0343617360
-
Simple extension of the Frenkel-Kontorova model: A different world
-
H.J. Schellnhuber, H. Urbschat and J. Wilbrink, Simple extension of the Frenkel-Kontorova model: A different world, Z. Phys. B 80 (1990) 305-312.
-
(1990)
Z. Phys. B
, vol.80
, pp. 305-312
-
-
Schellnhuber, H.J.1
Urbschat, H.2
Wilbrink, J.3
-
25
-
-
0001471315
-
Almost periodic Schrödinger operators: A review
-
B. Simon, Almost periodic Schrödinger operators: A review, Adv. Appl. Math. 3 (1982) 463-490.
-
(1982)
Adv. Appl. Math.
, vol.3
, pp. 463-490
-
-
Simon, B.1
-
26
-
-
0343780204
-
Renormalization-group theory of the incommensurate pinning transition and threshold dynamics
-
L. Sneddon, S. Liu and A.J. Kassman, Renormalization-group theory of the incommensurate pinning transition and threshold dynamics, Phys. Rev. B 43 (1991) 5798-5804.
-
(1991)
Phys. Rev. B
, vol.43
, pp. 5798-5804
-
-
Sneddon, L.1
Liu, S.2
Kassman, A.J.3
|