-
1
-
-
0003913214
-
-
(New York: Courant Institute of Mathematical Sciences, New York University) Notes based on a course given at New York University during the year 1973/74, see
-
Peskin C S 1975 Mathematical Aspects of Heart Physiology (New York: Courant Institute of Mathematical Sciences, New York University) Notes based on a course given at New York University during the year 1973/74, see http://math.nyu.edu/faculty/peskin/heartnotes/index.html
-
(1975)
Mathematical Aspects of Heart Physiology
-
-
Peskin, C.S.1
-
2
-
-
0020471747
-
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
-
DOI 10.1007/BF02154750
-
Guevara M R and Glass L 1982 Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias J. Math. Biol. 14 1-23 (Pubitemid 12120075)
-
(1982)
Journal of Mathematical Biology
, vol.14
, Issue.1
, pp. 1-23
-
-
Guevara, M.R.1
Glass, L.2
-
3
-
-
0023648366
-
Nonlinear dynamics, chaos and complex cardiac arrhythmias
-
Glass L, Goldberger A L, Courtemanche M and Shrier A 1987 Nonlinear dynamics, chaos and complex cardiac arrhythmias Proc. R. Soc. Lond. A 413 9-26 (Pubitemid 18533679)
-
(1987)
Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
, vol.413
, Issue.1844
, pp. 9-26
-
-
Glass, L.1
Goldberger, A.L.2
Courtemanche, M.3
Shrier, A.4
-
4
-
-
0019156722
-
Human sleep: Its duration and organization depend on its circadian phase
-
Czeisler C A, Weitzman E, Moore-Ede M C, Zimmerman J C and Knauer R S 1980 Human sleep: its duration and organization depend on its circadian phase Science 210 1264-7 (Pubitemid 11178016)
-
(1980)
Science
, vol.210
, Issue.4475
, pp. 1264-1267
-
-
Czeisler, C.A.1
Weitzman, E.D.2
Moore-Ede, M.C.3
-
5
-
-
0032758081
-
A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM
-
Tyson J J, Hong C I, Thron C D and Novak B 1999 A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM Biophys. J. 77 2411-7 (Pubitemid 29519489)
-
(1999)
Biophysical Journal
, vol.77
, Issue.5
, pp. 2411-2417
-
-
Tyson, J.J.1
Hong, C.I.2
Thron, C.D.3
Novak, B.4
-
8
-
-
0023362335
-
Propagation and its failure in coupled systems of discrete excitable cells
-
Keener J P 1987 Propagation and its failure in coupled systems of discrete excitable cells SIAM J. Appl. Math. 47 556-72
-
(1987)
SIAM J. Appl. Math.
, vol.47
, Issue.3
, pp. 556-572
-
-
Keener, J.P.1
-
9
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media (a review)
-
Tyson J J and Keener J P 1988 Singular perturbation theory of traveling waves in excitable media (a review) Physica D 32 327-61
-
(1988)
Physica
, vol.32
, Issue.3
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
-
12
-
-
0000526768
-
Hysteresis and hierarchies: Dynamics of disorder-driven first-order phase transformations
-
Sethna J P, Dahmen K, Kartha S, Krumhansl J A, Roberts B W and Shore J D 1993 Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations Phys. Rev. Lett. 70 3347-50
-
(1993)
Phys. Rev. Lett.
, vol.70
, Issue.21
, pp. 3347-3350
-
-
Sethna, J.P.1
Dahmen, K.2
Kartha, S.3
Krumhansl, J.A.4
Roberts, B.W.5
Shore, J.D.6
-
13
-
-
4243856764
-
Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes
-
Olami Z, Feder H J S and Christensen K 1992 Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes Phys. Rev. Lett. 68 1244-7
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.8
, pp. 1244-1247
-
-
Olami, Z.1
Feder, H.J.S.2
Christensen, K.3
-
14
-
-
0000328196
-
Chaos and synchronized chaos in an earthquake model
-
de Sousa Vieira M 1999 Chaos and synchronized chaos in an earthquake model Phys. Rev. Lett. 82 201-4
-
(1999)
Phys. Rev. Lett.
, vol.82
, Issue.1
, pp. 201-204
-
-
De Sousa Vieira, M.1
-
15
-
-
44949272252
-
Collective synchronization of pulse-coupled oscillators and excitable units
-
Kuramoto Y 1991 Collective synchronization of pulse-coupled oscillators and excitable units Physica D 50 15-30
-
(1991)
Physica
, vol.50
, Issue.1
, pp. 15-30
-
-
Kuramoto, Y.1
-
16
-
-
22244458151
-
Asynchronous states in networks of pulse-coupled oscillators
-
Abbott L F and van Vreeswijk C 1993 Asynchronous states in networks of pulse-coupled oscillators Phys. Rev. E 48 1483-90
-
(1993)
Phys. Rev.
, vol.48
, Issue.2
, pp. 1483-1490
-
-
Abbott, L.F.1
Van Vreeswijk, C.2
-
17
-
-
0000379808
-
Coherence and incoherence in a globally-coupled ensemble of pulse-emitting units
-
Gerstner W and van Hemmen J L 1993 Coherence and incoherence in a globally-coupled ensemble of pulse-emitting units Phys. Rev. Lett. 71 312-5
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.3
, pp. 312-315
-
-
Gerstner, W.1
Van Hemmen, J.L.2
-
18
-
-
0000094836
-
Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions
-
Tsodyks M, Mitkov I and Sompolinsky H 1993 Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions Phys. Rev. Lett. 71 1280-3
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.8
, pp. 1280-1283
-
-
Tsodyks, M.1
Mitkov, I.2
Sompolinsky, H.3
-
20
-
-
0000624276
-
Desynchronization, mode locking, and bursting in strongly coupled integrate-and-fire oscillators
-
Bressloff P C and Coombes S 1998 Desynchronization, mode locking, and bursting in strongly coupled integrate-and-fire oscillators Phys. Rev. Lett. 81 2168-71 (Pubitemid 128623096)
-
(1998)
Physical Review Letters
, vol.81
, Issue.10
, pp. 2168-2171
-
-
Bressloff, P.C.1
Coombes, S.2
-
21
-
-
0000821114
-
Dynamics of two mutually coupled slow inhibitory neurons
-
PII S0167278997003126
-
Terman D, Kopell N and Bose A 1998 Dynamics of two mutually coupled slow inhibitory neurons Physica D 117 241-75 (Pubitemid 128676602)
-
(1998)
Physica D: Nonlinear Phenomena
, vol.117
, Issue.1-4
, pp. 241-275
-
-
Terman, D.1
Kopell, N.2
Bose, A.3
-
22
-
-
0032528729
-
Chaotic balance state in a model of cortical circuits
-
van Vreeswijk C and Sompolinsky H 1998 Chaotic balance state in a model of cortical circuits Neural Comput. 10 1321-72
-
(1998)
Neural Comput.
, vol.10
, Issue.6
, pp. 1321-1372
-
-
Van Vreeswijk, C.1
Sompolinsky, H.2
-
23
-
-
0033208597
-
Synchrony and desynchrony in integrate-and-fire oscillators
-
Campbell S R, Wang D L L and Jayaprakash C 1999 Synchrony and desynchrony in integrate-and-fire oscillators Neural Comput. 11 1595-619
-
(1999)
Neural Comput.
, vol.11
, Issue.7
, pp. 1595-1619
-
-
Campbell, S.R.1
Wang, D.L.L.2
Jayaprakash, C.3
-
24
-
-
11944256929
-
Synchronization and computation in a chaotic neural network
-
Hansel D and Sompolinsky H 1992 Synchronization and computation in a chaotic neural network Phys. Rev. Lett. 68 718-21
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.5
, pp. 718-721
-
-
Hansel, D.1
Sompolinsky, H.2
-
25
-
-
1842831264
-
Noise induced synchronization in a neuronal oscillator
-
Pakdaman K and Mestivier D 2004 Noise induced synchronization in a neuronal oscillator Physica D 192 123-37
-
(2004)
Physica
, vol.192
, Issue.1-2
, pp. 123-137
-
-
Pakdaman, K.1
Mestivier, D.2
-
26
-
-
0014426440
-
Mechanism of rhythmic synchronous flashing of fireflies
-
Buck J and Buck E 1968 Mechanism of rhythmic synchronous flashing of fireflies Science 159 1319-27
-
(1968)
Science
, vol.159
, Issue.3821
, pp. 1319-1327
-
-
Buck, J.1
Buck, E.2
-
27
-
-
0025567093
-
Synchronization of pulse-coupled biological oscillators
-
Mirollo R E and Strogatz S H 1990 Synchronization of pulse-coupled biological oscillators SIAM J. Appl. Math. 50 1645-62
-
(1990)
SIAM J. Appl. Math.
, vol.50
, Issue.6
, pp. 1645-1662
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
28
-
-
34447102447
-
Collective signaling behavior in a networked-oscillator model
-
DOI 10.1016/j.physa.2007.04.042, PII S0378437107004165
-
Liu Z-H and Hui P M 2007 Collective signaling behavior in a networked-oscillator model Physica A 383 714-24 (Pubitemid 47031537)
-
(2007)
Physica A: Statistical Mechanics and its Applications
, vol.383
, Issue.2
, pp. 714-724
-
-
Liu, Z.-H.1
Hui, P.M.2
-
33
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
-
Strogatz S H 2000 From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Physica D 143 1-20
-
(2000)
Physica
, vol.143
, Issue.1-4
, pp. 1-20
-
-
Strogatz, S.H.1
-
34
-
-
19944385353
-
The Kuramoto model: A simple paradigm for synchronization phenomena
-
Acebrón J A, Bonilla L L, Vicente C J P, Ritort F and Spigler R 2005 The Kuramoto model: a simple paradigm for synchronization phenomena Rev. Mod. Phys. 77 137
-
(2005)
Rev. Mod. Phys.
, vol.77
, Issue.1
, pp. 137
-
-
Acebrón, J.A.1
Bonilla, L.L.2
Vicente, C.J.P.3
Ritort, F.4
Spigler, R.5
-
35
-
-
0001006240
-
Synchronization transitions in a disordered Josephson series array
-
Wiesenfeld K, Colet P and Strogatz S H 1996 Synchronization transitions in a disordered Josephson series array Phys. Rev. Lett. 76 404-7 (Pubitemid 126601867)
-
(1996)
Physical Review Letters
, vol.76
, Issue.3
, pp. 404-407
-
-
Wiesenfeld, K.1
Colet, P.2
Strogatz, S.H.3
-
36
-
-
33751516522
-
Clustering and slow switching in globally coupled phase oscillators
-
Hansel D, Mato G and Meunier C 1993 Clustering and slow switching in globally coupled phase oscillators Phys. Rev. E 48 3470-7
-
(1993)
Phys. Rev.
, vol.48
, Issue.5
, pp. 3470-3477
-
-
Hansel, D.1
Mato, G.2
Meunier, C.3
-
37
-
-
0032523522
-
Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillators
-
Crook S M, Ermentrout G B and Bower J M 1998 Spike frequency adaptation affects the synchronization properties of networks of cortical oscillators Neural Comput. 10 837-54 (Pubitemid 128463180)
-
(1998)
Neural Computation
, vol.10
, Issue.4
, pp. 837-854
-
-
Crook, S.M.1
Ermentrout, G.B.2
Bower, J.M.3
-
38
-
-
0037087313
-
Synchrony, stability, and firing patterns in pulse-coupled oscillators
-
DOI 10.1016/S0167-2789(01)00374-8, PII S0167278901003748
-
Goel P and Ermentrout B 2002 Synchrony, stability, and firing patterns in pulse-coupled oscillators Physica D 163 191-216 (Pubitemid 34201313)
-
(2002)
Physica D: Nonlinear Phenomena
, vol.163
, Issue.3-4
, pp. 191-216
-
-
Goel, P.1
Ermentrout, B.2
-
39
-
-
84867963225
-
The spectrum of the partially locked state for the kuramoto model
-
DOI 10.1007/s00332-006-0806-x
-
Mirollo R and Strogatz S H 2007 The spectrum of the partially locked state for the Kuramoto model J. Nonlinear Sci. 17 309-47 (Pubitemid 47128297)
-
(2007)
Journal of Nonlinear Science
, vol.17
, Issue.4
, pp. 309-347
-
-
Mirollo, R.1
Strogatz, S.H.2
-
40
-
-
0021876815
-
Synchronization in a pool of mutually coupled oscillators with random frequencies
-
Ermentrout G B 1985 Synchronization in a pool of mutually coupled oscillators with random frequencies J. Math. Biol. 22 1-9 (Pubitemid 15057330)
-
(1985)
Journal of Mathematical Biology
, vol.22
, Issue.1
, pp. 1-9
-
-
Ermentrout, G.B.1
-
41
-
-
4243765520
-
Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
-
Strogatz S H, Mirollo R E and Matthews P C 1992 Coupled nonlinear oscillators below the synchronization threshold: relaxation by generalized Landau damping Phys. Rev. Lett. 68 2730-3
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.18
, pp. 2730-2733
-
-
Strogatz, S.H.1
Mirollo, R.E.2
Matthews, P.C.3
-
42
-
-
19944397131
-
The spectrum of the locked state for the Kuramoto model of coupled oscillators
-
DOI 10.1016/j.physd.2005.01.017, PII S0167278905000539
-
Mirollo R E and Strogatz S H 2005 The spectrum of the locked state for the Kuramoto model of coupled oscillators Physica D 205 249-66 (Pubitemid 40753192)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.205
, Issue.1-4
, pp. 249-266
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
43
-
-
61449180129
-
Exact results for the Kuramoto model with a bimodal frequency distribution
-
Martens E A, Barreto E, Strogatz S H, Ott E, So P and Antonsen T M 2009 Exact results for the Kuramoto model with a bimodal frequency distribution Phys. Rev. E 79 026204
-
(2009)
Phys. Rev.
, vol.79
, Issue.2
, pp. 026204
-
-
Martens, E.A.1
Barreto, E.2
Strogatz, S.H.3
Ott, E.4
So, P.5
Antonsen, T.M.6
-
44
-
-
34548504606
-
Partial entrainment in the finite Kuramoto-Sakaguchi model
-
DOI 10.1016/j.physd.2007.06.025, PII S0167278907002072
-
De Smet F and Aeyels D 2007 Partial entrainment in the finite Kuramoto-Sakaguchi model Physica D 234 81-9 (Pubitemid 47374836)
-
(2007)
Physica D: Nonlinear Phenomena
, vol.234
, Issue.2
, pp. 81-89
-
-
De Smet, F.1
Aeyels, D.2
-
45
-
-
54749123659
-
Synchronization properties of network motifs: Influence of coupling delay and symmetry
-
D'Huys O, Vicente R, Erneux T, Danckaert J and Fischer I 2008 Synchronization properties of network motifs: influence of coupling delay and symmetry Chaos 18 037116
-
(2008)
Chaos
, vol.18
, Issue.3
, pp. 037116
-
-
D'Huys, O.1
Vicente, R.2
Erneux, T.3
Danckaert, J.4
Fischer, I.5
-
46
-
-
78650695938
-
Global synchronization properties for different classes of underlying interconnection graphs for Kuramoto coupled oscillators
-
Canale E, Monzón P and Robledo F 2009 Global synchronization properties for different classes of underlying interconnection graphs for Kuramoto coupled oscillators Future Generation Information Technology (Lecture Notes in Computer Science vol 5899) (Berlin: Springer) p 104
-
(2009)
Future Generation Information Technology
, vol.5899
, pp. 104
-
-
Canale, E.1
Monzón, P.2
Robledo, F.3
-
49
-
-
3442885282
-
Strong desynchronizing effects of weak noise in globally coupled systems
-
Teramae J and Kuramoto Y 2001 Strong desynchronizing effects of weak noise in globally coupled systems Phys. Rev. E 63 036210
-
(2001)
Phys. Rev.
, vol.63
, Issue.3
, pp. 036210
-
-
Teramae, J.1
Kuramoto, Y.2
-
50
-
-
19744369589
-
Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators
-
Teramae J and Tanaka D 2004 Robustness of the noise-induced phase synchronization in a general class of limit cycle oscillators Phys. Rev. Lett. 93 204103
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.20
, pp. 204103
-
-
Teramae, J.1
Tanaka, D.2
-
51
-
-
36148968136
-
Influence of noise on the synchronization of the stochastic Kuramoto model
-
Bag B C, Petrosyan K G and Hu C K 2007 Influence of noise on the synchronization of the stochastic Kuramoto model Phys. Rev. E 76 056210
-
(2007)
Phys. Rev.
, vol.76
, Issue.5
, pp. 056210
-
-
Bag, B.C.1
Petrosyan, K.G.2
Hu, C.K.3
-
53
-
-
0036641159
-
Noise-enhanced phase synchronization of chaotic oscillators
-
Zhou C, Kurths J, Kiss I Z and Hudson J L 2002 Noise-enhanced phase synchronization of chaotic oscillators Phys. Rev. Lett. 89 14101
-
(2002)
Phys. Rev. Lett.
, vol.89
, Issue.1
, pp. 14101
-
-
Zhou, C.1
Kurths, J.2
Kiss, I.Z.3
Hudson, J.L.4
-
54
-
-
19544377328
-
Mechanism of desynchronization in the finite-dimensional Kuramoto model
-
Maistrenko Y, Popovych O, Burylko O and Tass P A 2004 Mechanism of desynchronization in the finite-dimensional Kuramoto model Phys. Rev. Lett. 93 84102
-
(2004)
Phys. Rev. Lett.
, vol.93
, Issue.8
, pp. 84102
-
-
Maistrenko, Y.1
Popovych, O.2
Burylko, O.3
Tass, P.A.4
-
55
-
-
34547266448
-
Multistability in the Kuramoto model with synaptic plasticity
-
Maistrenko Y, Lysyansky B, Hauptmann C, Burylko O and Tass P A 2007 Multistability in the Kuramoto model with synaptic plasticity Phys. Rev. E 75 066207
-
(2007)
Phys. Rev.
, vol.75
, Issue.6
, pp. 066207
-
-
Maistrenko, Y.1
Lysyansky, B.2
Hauptmann, C.3
Burylko, O.4
Tass, P.A.5
-
57
-
-
0002391044
-
Merging of resonance tongues
-
Kirk V 1993 Merging of resonance tongues Physica D 66 267-81
-
(1993)
Physica
, vol.66
, Issue.3-4
, pp. 267-281
-
-
Kirk, V.1
-
58
-
-
27144516452
-
Hill's equation with quasi-periodic forcing: Resonance tongues, instability pockets and global phenomena
-
Broer H and Simó C 1998 Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena Bull. Braz. Math. Soc. 29 253-93 (Pubitemid 128695565)
-
(1998)
Bulletin of the Brazilian Mathematical Society
, vol.29
, Issue.2
, pp. 253-293
-
-
Broer, H.1
Simo, C.2
-
59
-
-
0034692247
-
Resonance tongues in hill's equations: A geometric approach
-
Broer H and Simó C 2000 Resonance tongues in hill's equations: a geometric approach J. Diff. Eqns 166 290-327
-
(2000)
J. Diff. Eqns
, vol.166
, Issue.2
, pp. 290-327
-
-
Broer, H.1
Simó, C.2
-
60
-
-
0242275980
-
Resonance Tongues and Instability Pockets in the Quasi-Periodic Hill-Schrödinger Equation
-
Broer H, Puig J and Simó C 2003 Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation Commun. Math. Phys. 241 467-503 (Pubitemid 37364637)
-
(2003)
Communications in Mathematical Physics
, vol.241
, Issue.2-3
, pp. 467-503
-
-
Broer, H.1
Puig, J.2
Simo, C.3
-
61
-
-
0242371831
-
The geometry of resonance tongues: A singularity theory approach
-
Broer H W, Golubitsky M and Vegter G 2003 The geometry of resonance tongues: a singularity theory approach Nonlinearity 16 1511
-
(2003)
Nonlinearity
, vol.16
, Issue.4
, pp. 1511
-
-
Broer, H.W.1
Golubitsky, M.2
Vegter, G.3
-
62
-
-
0028534344
-
Patterns and quasi-patterns in the Faraday experiment
-
Edwards W S and Fauve S 1994 Patterns and quasi-patterns in the Faraday experiment J. Fluid Mech. 278 123-48
-
(1994)
J. Fluid Mech.
, vol.278
, Issue.1
, pp. 123-148
-
-
Edwards, W.S.1
Fauve, S.2
-
65
-
-
33646652279
-
Equipartition threshold in nonlinear large Hamiltonian systems: The Fermi-Pasta-Ulam model
-
Livi R, Pettini M, Ruffo S, Sparpaglione M and Vulpiani A 1985 Equipartition threshold in nonlinear large Hamiltonian systems: the Fermi-Pasta-Ulam model Phys. Rev. A 31 1039
-
(1985)
Phys. Rev.
, vol.31
, Issue.2
, pp. 1039
-
-
Livi, R.1
Pettini, M.2
Ruffo, S.3
Sparpaglione, M.4
Vulpiani, A.5
-
66
-
-
0347371015
-
The Fermi-Pasta-Ulam problem: Paradox turns discovery
-
Ford J 1992 The Fermi-Pasta-Ulam problem: paradox turns discovery Phys. Rep. 213 271-310
-
(1992)
Phys. Rep.
, vol.213
, Issue.5
, pp. 271-310
-
-
Ford, J.1
-
67
-
-
34249831818
-
The dynamics of N weakly coupled identical oscillators
-
Ashwin P and Swift J W 1992 The dynamics of N weakly coupled identical oscillators J. Nonlinear Sci. 2 69-108
-
(1992)
J. Nonlinear Sci.
, vol.2
, Issue.1
, pp. 69-108
-
-
Ashwin, P.1
Swift, J.W.2
-
68
-
-
0034301979
-
Near-integrability of periodic FPU-chains
-
Rink B and Verhulst F 2000 Near-integrability of periodic FPU-chains Physica A 285 467-82
-
(2000)
Physica
, vol.285
, Issue.3-4
, pp. 467-482
-
-
Rink, B.1
Verhulst, F.2
-
69
-
-
0035531312
-
Symmetry and resonance in periodic FPU chains
-
Rink B 2001 Symmetry and resonance in periodic FPU chains Commun. Math. Phys. 218 665-85
-
(2001)
Commun. Math. Phys.
, vol.218
, Issue.3
, pp. 665-685
-
-
Rink, B.1
-
70
-
-
33645664794
-
Rotation sets for networks of circle maps
-
Parwani K and Josić K 2006 Rotation sets for networks of circle maps Chaos 16 015115
-
(2006)
Chaos
, vol.16
, Issue.1
, pp. 015115
-
-
Parwani, K.1
Josić, K.2
-
73
-
-
6144273098
-
Statistical mechanics of assemblies of coupled oscillators
-
Ford G W, Kac M and Mazur P 1965 Statistical mechanics of assemblies of coupled oscillators J. Math. Phys. 6 504-15
-
(1965)
J. Math. Phys.
, vol.6
, Issue.4
, pp. 504-515
-
-
Ford, G.W.1
Kac, M.2
Mazur, P.3
-
74
-
-
0003084049
-
Stationary non-equilibrium states of infinite harmonic systems
-
Spohn H and Lebowitz J L 1977 Stationary non-equilibrium states of infinite harmonic systems Commun. Math. Phys. 54 97-120
-
(1977)
Commun. Math. Phys.
, vol.54
, Issue.2
, pp. 97-120
-
-
Spohn, H.1
Lebowitz, J.L.2
-
76
-
-
0033243772
-
Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
-
Eckmann J P, Pillet C A and Rey-Bellet L 1999 Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures Commun. Math. Phys. 201 657-97
-
(1999)
Commun. Math. Phys.
, vol.201
, Issue.3
, pp. 657-697
-
-
Eckmann, J.P.1
Pillet, C.A.2
Rey-Bellet, L.3
-
77
-
-
0034349280
-
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators
-
Eckmann J P and Hairer M 2000 Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators Commun. Math. Phys. 212 105-64
-
(2000)
Commun. Math. Phys.
, vol.212
, Issue.1
, pp. 105-164
-
-
Eckmann, J.P.1
Hairer, M.2
-
78
-
-
3542998723
-
Breakup of universality in the generalized spinodal nucleation theory
-
Muratov C B and Vanden-Eijnden E 2004 Breakup of universality in the generalized spinodal nucleation theory J. Stat. Phys. 114 605-23 (Pubitemid 39015530)
-
(2004)
Journal of Statistical Physics
, vol.114
, Issue.3-4
, pp. 605-623
-
-
Muratov, C.B.1
Vanden-Eijnden, E.2
-
79
-
-
84867946760
-
Magnetic elements at finite temperature and large deviation theory
-
DOI 10.1007/s00332-005-0671-z
-
Kohn R V, Reznikoff M G and Vanden-Eijnden E 2005 Magnetic elements at finite temperature and large deviation theory J. Nonlinear Sci. 15 223-53 (Pubitemid 41197512)
-
(2005)
Journal of Nonlinear Science
, vol.15
, Issue.4
, pp. 223-253
-
-
Kohn, R.V.1
Reznikoff, M.G.2
Vanden-Eijnden, E.3
-
80
-
-
33846672213
-
Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation
-
Kohn R V, Otto F, Reznikoff M G and Vanden-Eijnden E 2007 Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation Commun. Pure Appl. Math. 60 393-438
-
(2007)
Commun. Pure Appl. Math.
, vol.60
, Issue.3
, pp. 393-438
-
-
Kohn, R.V.1
Otto, F.2
Reznikoff, M.G.3
Vanden-Eijnden, E.4
-
81
-
-
67649114289
-
Slow energy dissipation in anharmonic oscillator chains
-
Hairer M and Mattingly J C 2009 Slow energy dissipation in anharmonic oscillator chains Commun. Pure Appl. Math. 62 999-1032
-
(2009)
Commun. Pure Appl. Math.
, vol.62
, Issue.8
, pp. 999-1032
-
-
Hairer, M.1
Mattingly, J.C.2
-
84
-
-
0000828252
-
Diffusion processes on graphs and the averaging principle
-
Freidlin M I and Wentzell A D 1993 Diffusion processes on graphs and the averaging principle Ann. Probab. 21 2215-45
-
(1993)
Ann. Probab.
, vol.21
, Issue.4
, pp. 2215-2245
-
-
Freidlin, M.I.1
Wentzell, A.D.2
-
87
-
-
12844257523
-
Metastability in reversible diffusion processes II. Precise asymptotics for small eigenvalues
-
Bovier A, Gayrard V and Klein M 2005 Metastability in reversible diffusion processes: II. Precise asymptotics for small eigenvalues J. Eur. Math. Soc. 7 69-99 (Pubitemid 40166999)
-
(2005)
Journal of the European Mathematical Society
, vol.7
, Issue.1
, pp. 69-99
-
-
Bovier, A.1
Gayrard, V.2
Klein, M.3
-
92
-
-
84980178612
-
Asymptotic evaluation of certain Markov process expectations for large time: I
-
Donsker M D and Varadhan S R S 1975 Asymptotic evaluation of certain Markov process expectations for large time: I Commun. Pure Appl. Math. 28 1-47
-
(1975)
Commun. Pure Appl. Math.
, vol.28
, Issue.1
, pp. 1-47
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
93
-
-
34547164283
-
Noise-induced phenomena in slow-fast dynamical systems: A sample-paths approach
-
Berglund N and Gentz B 2006 Noise-induced phenomena in slow-fast dynamical systems: a sample-paths approach Probability and its Applications (New York) (London: Springer)
-
(2006)
Probability and Its Applications (New York)
-
-
Berglund, N.1
Gentz, B.2
-
94
-
-
28844486373
-
Two distinct mechanisms of coherence in randomly perturbed dynamical systems
-
DeVille R E L, Muratov C B and Vanden-Eijnden E 2005 Two distinct mechanisms of coherence in randomly perturbed dynamical systems Phys. Rev. E 72 031105
-
(2005)
Phys. Rev.
, vol.72
, Issue.3
, pp. 031105
-
-
Deville, R.E.L.1
Muratov, C.B.2
Vanden-Eijnden, E.3
-
95
-
-
35548934275
-
Metastability in interacting nonlinear stochastic differential equations: I. from weak coupling to synchronization
-
Berglund N, Fernandez B and Gentz B 2007 Metastability in interacting nonlinear stochastic differential equations: I. From weak coupling to synchronization Nonlinearity 20 2551
-
(2007)
Nonlinearity
, vol.20
, Issue.11
, pp. 2551
-
-
Berglund, N.1
Fernandez, B.2
Gentz, B.3
-
96
-
-
35548959251
-
Metastability in interacting nonlinear stochastic differential equations: II. Large-N behaviour
-
Berglund N, Fernandez B and Gentz B 2007 Metastability in interacting nonlinear stochastic differential equations: II. Large-N behaviour Nonlinearity 20 2583
-
(2007)
Nonlinearity
, vol.20
, Issue.11
, pp. 2583
-
-
Berglund, N.1
Fernandez, B.2
Gentz, B.3
-
98
-
-
33846496287
-
A nontrivial scaling limit for multiscale Markov chains
-
DeVille R E L and Vanden-Eijnden E 2007 A nontrivial scaling limit for multiscale Markov chains J. Stat. Phys. 126 75-94
-
(2007)
J. Stat. Phys.
, vol.126
, Issue.1
, pp. 75-94
-
-
Deville, R.E.L.1
Vanden-Eijnden, E.2
-
99
-
-
55549088583
-
Regular gaits and optimal velocities for motor proteins
-
DeVille R E L and Vanden-Eijnden E 2008 Regular gaits and optimal velocities for motor proteins Biophys. J. 95 2681-91
-
(2008)
Biophys. J.
, vol.95
, Issue.6
, pp. 2681-2691
-
-
Deville, R.E.L.1
Vanden-Eijnden, E.2
-
104
-
-
0010712604
-
Rank one perturbation and its application to the Laplacian spectrum of a graph
-
So W 1999 Rank one perturbation and its application to the Laplacian spectrum of a graph Linear Multilinear Algebra 46 193-8
-
(1999)
Linear Multilinear Algebra
, vol.46
, Issue.3
, pp. 193-198
-
-
So, W.1
-
105
-
-
0042511829
-
Brownian motion on a submanifold of Euclidean space
-
Lewis J T 1986 Brownian motion on a submanifold of Euclidean space Bull. Lond. Math. Soc. 18 616
-
(1986)
Bull. Lond. Math. Soc.
, vol.18
, Issue.6
, pp. 616
-
-
Lewis, J.T.1
-
107
-
-
38949150015
-
Projection of diffusions on submanifolds: Application to mean force computation
-
Ciccotti G, Lelievre T and Vanden-Eijnden E 2008 Projection of diffusions on submanifolds: application to mean force computation Commun. Pure Appl. Math. 61 371-408
-
(2008)
Commun. Pure Appl. Math.
, vol.61
, Issue.3
, pp. 371-408
-
-
Ciccotti, G.1
Lelievre, T.2
Vanden-Eijnden, E.3
|