-
1
-
-
22244458151
-
Asynchronous states in networks of pulse-coupled oscillators
-
L. F. Abbott, C. van Vreeswijk. Asynchronous states in networks of pulse-coupled oscillators. Phys. Rev. E, 48 (1993), No. 2, 1483-1490.
-
(1993)
Phys. Rev. e
, vol.48
, Issue.2
, pp. 1483-1490
-
-
Abbott, L.F.1
Van Vreeswijk, C.2
-
2
-
-
0003283055
-
Handbook of mathematical functions with formulas, graphs, and mathematical tables
-
Washington, D.C.
-
M. Abramowitz, I. A. Stegun. Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, Vol. 55, Washington, D.C., 1964.
-
(1964)
National Bureau of Standards Applied Mathematics Series
, vol.55
-
-
Abramowitz, M.1
Stegun, I.A.2
-
4
-
-
33845394008
-
Population density methods for stochastic neurons with realistic synaptic kinetics: Firing rate dynamics and fast computational methods
-
DOI 10.1080/09548980601069787, PII G761PV31283707U0
-
F. Apfaltrer, C. Ly, D. Tranchina. Population density methods for stochastic neurons with realistic synaptic kinetics: Firing rate dynamics and fast computational methods. Networkcomputation in Neural Systems, 17 (2006), No. 4, 373-418. (Pubitemid 44905322)
-
(2006)
Network: Computation in Neural Systems
, vol.17
, Issue.4
, pp. 373-418
-
-
Apfaltrer, F.1
Ly, C.2
Tranchina, D.3
-
5
-
-
0001480451
-
Huygens's clocks
-
M. Bennett, M. F. Schatz, H. Rockwood, K. Wiesenfeld. Huygens's clocks. R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 458 (2002), No. 2019, 563-579.
-
(2002)
R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.
, vol.458
, Issue.2019
, pp. 563-579
-
-
Bennett, M.1
Schatz, M.F.2
Rockwood, H.3
Wiesenfeld, K.4
-
7
-
-
0000624276
-
Desynchronization, mode locking, and bursting in strongly coupled integrate-and-fire oscillators
-
P. C. Bressloff, S. Coombes. Desynchronization, mode locking, and bursting in strongly coupled integrate-and-fire oscillators. Phys. Rev. Lett., 81 (1998), No. 10, 2168-2171. (Pubitemid 128623096)
-
(1998)
Physical Review Letters
, vol.81
, Issue.10
, pp. 2168-2171
-
-
Bressloff, P.C.1
Coombes, S.2
-
8
-
-
0033210816
-
Fast global oscillations in networks of integrate-and-fire neurons with low firing rates
-
N. Brunel, V. Hakim. Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comp., 11 (1999), No. 7, 1621-1671.
-
(1999)
Neural Comp.
, vol.11
, Issue.7
, pp. 1621-1671
-
-
Brunel, N.1
Hakim, V.2
-
9
-
-
0014426440
-
Mechanism of rhythmic synchronous flashing of fireflies
-
J. Buck, E. Buck. Mechanism of rhythmic synchronous flashing of fireflies, Science 159 (1968), No. 3821, 1319-1327.
-
(1968)
Science
, vol.159
, Issue.3821
, pp. 1319-1327
-
-
Buck, J.1
Buck, E.2
-
10
-
-
33845421047
-
Kinetic theory for neuronal network dynamics
-
D. Cai, L. Tao, A. V. Rangan, D. W. McLaughlin. Kinetic theory for neuronal network dynamics. Comm. Math. Sci., 4 (2006), No. 1, 97-127.
-
(2006)
Comm. Math. Sci.
, vol.4
, Issue.1
, pp. 97-127
-
-
Cai, D.1
Tao, L.2
Rangan, A.V.3
McLaughlin, D.W.4
-
11
-
-
2442679125
-
An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex
-
DOI 10.1073/pnas.0401906101
-
D. Cai, L. Tao, M. Shelley, D. W. McLaughlin. An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex. Proc. Nat. Acad. Sci. USA, 101 (2004), No. 20, 7757-7762. (Pubitemid 38658102)
-
(2004)
Proceedings of the National Academy of Sciences of the United States of America
, vol.101
, Issue.20
, pp. 7757-7762
-
-
Cai, D.1
Tao, L.2
Shelley, M.3
McLaughlin, D.W.4
-
12
-
-
0033208597
-
Synchrony and desynchrony in integrateand- fire oscillators
-
S. R. Campbell, D. L. L. Wang, C. Jayaprakash. Synchrony and desynchrony in integrateand- fire oscillators. Neur. Comp., 11 (1999), No. 7, 1595-1619.
-
(1999)
Neur. Comp.
, vol.11
, Issue.7
, pp. 1595-1619
-
-
Campbell, S.R.1
Wang, D.L.L.2
Jayaprakash, C.3
-
13
-
-
0033229434
-
Dynamics of elastic excitable media
-
J. H. E. Cartwright, V. M. Eguíluz, E. Hernández- García, O. Piro. Dynamics of elastic excitable media. Int. J. Bif. Chaos, 9 (1999), No. 11, 2197-2202. (Pubitemid 129344674)
-
(1999)
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
, vol.9
, Issue.11
, pp. 2197-2202
-
-
Cartwright, J.H.E.1
Eguiluz, V.M.2
Hernandez-Garcia, E.3
Piro, O.4
-
14
-
-
0019156722
-
Human sleep: Its duration and organization depend on its circadian phase
-
C. A. Czeisler, E. Weitzman, M. C. Moore-Ede, J. C. Zimmerman, R. S. Knauer. Human sleep: its duration and organization depend on its circadian phase. Science 210 (1980), No. 4475, 1264-1267. (Pubitemid 11178016)
-
(1980)
Science
, vol.210
, Issue.4475
, pp. 1264-1267
-
-
Czeisler, C.A.1
Weitzman, E.D.2
Moore-Ede, M.C.3
-
15
-
-
0000328196
-
Chaos and synchronized chaos in an earthquake model
-
M. de Sousa Vieira. Chaos and synchronized chaos in an earthquake model. Phys. Rev. Lett., 82 (1999), No. 1, 201-204.
-
(1999)
Phys. Rev. Lett.
, vol.82
, Issue.1
, pp. 201-204
-
-
De Sousa Vieira, M.1
-
16
-
-
48449104886
-
Synchrony and asynchrony in a fully stochastic neural network
-
R. E. L. DeVille, C. S. Peskin.Synchrony and asynchrony in a fully stochastic neural network. Bull. Math. Bio., 70 (2008), No. 6, 1608-1633.
-
(2008)
Bull. Math. Bio.
, vol.70
, Issue.6
, pp. 1608-1633
-
-
Deville, R.E.L.1
Peskin, C.S.2
-
17
-
-
84995332295
-
Stochastic synchronization in finite size spiking networks
-
4 pages
-
B. Doiron, J. Rinzel, A. Reyes. Stochastic synchronization in finite size spiking networks. Phys. Rev. E (3), 74 (2006), No. 3, 030903, 4 pages.
-
(2006)
Phys. Rev. e (3)
, vol.74
, Issue.3
, pp. 030903
-
-
Doiron, B.1
Rinzel, J.2
Reyes, A.3
-
20
-
-
0030216813
-
Reflected waves in an inhomogeneous excitable medium
-
G. B. Ermentrout, J. Rinzel. Reflected waves in an inhomogeneous excitable medium. SIAM J. Appl. Math., 56 (1996), No. 4, 1107-1128. (Pubitemid 126551905)
-
(1996)
SIAM Journal on Applied Mathematics
, vol.56
, Issue.4
, pp. 1107-1128
-
-
Ermentrout, G.B.1
Rinzel, J.2
-
21
-
-
0000379808
-
Coherence and incoherence in a globally-coupled ensemble of pulse-emitting units
-
W. Gerstner, J. L. van Hemmen. Coherence and incoherence in a globally-coupled ensemble of pulse-emitting units. Phys. Rev. Lett., 71 (1993), No. 3, 312-315.
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.3
, pp. 312-315
-
-
Gerstner, W.1
Van Hemmen, J.L.2
-
22
-
-
0023648366
-
Nonlinear dynamics, chaos and complex cardiac arrhythmias
-
L. Glass, A. L. Goldberger, M. Courtemanche, A. Shrier. Nonlinear dynamics, chaos and complex cardiac arrhythmias. Proc. Roy. Soc. London Ser. A, 413 (1987), No. 1844, 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
-
23
-
-
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
-
M. R. Guevara, L. Glass. 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. Bio. 14 (1982), No. 1, 1-23. (Pubitemid 12120075)
-
(1982)
Journal of Mathematical Biology
, vol.14
, Issue.1
, pp. 1-23
-
-
Guevara, M.R.1
Glass, L.2
-
24
-
-
11944256929
-
Synchronization and computation in a chaotic neural network
-
D. Hansel, H. Sompolinsky. Synchronization and computation in a chaotic neural network. Phys. Rev. Lett., 68 (1992), No. 5, 718-721.
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.5
, pp. 718-721
-
-
Hansel, D.1
Sompolinsky, H.2
-
25
-
-
0042736230
-
Population density methods for large-scale modelling of neuronal networks with realistic synaptic kinetics: Cutting the dimension down to size
-
DOI 10.1088/0954-898X/12/2/304, PII S0954898X01224865
-
E. Haskell, D. Q. Nykamp, D. Tranchina. Population density methods for large-scale modelling of neuronal networks with realistic synaptic kinetics: cutting the dimension down to size. Network-Computation in Neural Systems, 12 (2001), No. 2, 141-174. (Pubitemid 33626941)
-
(2001)
Network: Computation in Neural Systems
, vol.12
, Issue.2
, pp. 141-174
-
-
Haskell, E.1
Nykamp, D.Q.2
Tranchina, D.3
-
28
-
-
0015357448
-
Dynamics of encoding in a population of neurons
-
B. W. Knight. Dynamics of encoding in a population of neurons. J. Gen. Phys., 59 (1972), No. 6, 734-766.
-
(1972)
J. Gen. Phys.
, vol.59
, Issue.6
, pp. 734-766
-
-
Knight, B.W.1
-
29
-
-
0003351373
-
Chemical oscillations, waves, and turbulence
-
Springer-Verlag, Berlin
-
Y. Kuramoto. Chemical oscillations, waves, and turbulence. Springer Series in Synergetics, Vol. 19, Springer-Verlag, Berlin, 1984.
-
(1984)
Springer Series in Synergetics
, vol.19
-
-
Kuramoto, Y.1
-
30
-
-
44949272252
-
Collective synchronization of pulse-coupled oscillators and excitable units
-
Y. Kuramoto. Collective synchronization of pulse-coupled oscillators and excitable units. Phys. D, 50 (1991), No. 1, 15-30.
-
(1991)
Phys. D
, vol.50
, Issue.1
, pp. 15-30
-
-
Kuramoto, Y.1
-
31
-
-
0001455869
-
Relationship between stochastic and deterministic models for chemical reactions
-
T. G. Kurtz. Relationship between stochastic and deterministic models for chemical reactions. J. Chem. Phys., 57 (1972), No. 7, 2976-2978.
-
(1972)
J. Chem. Phys.
, vol.57
, Issue.7
, pp. 2976-2978
-
-
Kurtz, T.G.1
-
32
-
-
0000660738
-
Strong approximation theorems for density dependent Markov chains
-
T. G. Kurtz. Strong approximation theorems for density dependent Markov chains. Stoch. Proc. Appl., 6 (1977/78), No. 3, 223-240.
-
(1977)
Stoch. Proc. Appl.
, vol.6
, Issue.3
, pp. 223-240
-
-
Kurtz, T.G.1
-
33
-
-
34447102447
-
Collective signaling behavior in a networked-oscillator model
-
DOI 10.1016/j.physa.2007.04.042, PII S0378437107004165
-
Z.-H. Liu, P.M. Hui. Collective signaling behavior in a networked-oscillator model. Phys. A, 383 (2007), No. 2, 714-724. (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
-
34
-
-
0025567093
-
Synchronization of pulse-coupled biological oscillators
-
R. E. Mirollo, S. H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math., 50 (1990), No. 6, 1645-1662.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, Issue.6
, pp. 1645-1662
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
35
-
-
4243856764
-
Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes
-
Z. Olami, H. J. S. Feder, K. Christensen. Self-organized criticality in a continuous, nonconservative cellular automaton modeling earthquakes. Phys. Rev. Lett., 68 (1992), No. 8, 1244-1247.
-
(1992)
Phys. Rev. Lett.
, vol.68
, Issue.8
, pp. 1244-1247
-
-
Olami, Z.1
Feder, H.J.S.2
Christensen, K.3
-
36
-
-
1842831264
-
Noise induced synchronization in a neuronal oscillator
-
K. Pakdaman, D. Mestivier. Noise induced synchronization in a neuronal oscillator. Phys. D, 192 (2004), No. 1-2, 123-137.
-
(2004)
Phys. D
, vol.192
, Issue.1-2
, pp. 123-137
-
-
Pakdaman, K.1
Mestivier, D.2
-
39
-
-
0034844437
-
Similar nonleaky integrate-and-fire neurons with instantaneous couplings always synchronize
-
DOI 10.1137/S0036139998346038, PII S0036139998346038
-
W. Senn, R. Urbanczik. Similar nonleaky integrate-and-fire neurons with instantaneous couplings always synchronize. SIAM J. Appl. Math., 61 (2000/01), No. 4, 1143-1155 (electronic). (Pubitemid 32825172)
-
(2001)
SIAM Journal on Applied Mathematics
, vol.61
, Issue.4
, pp. 1143-1155
-
-
Senn, W.1
Urbanczik, R.2
-
41
-
-
0346847618
-
Dynamics of neuronal populations: Eigenfunction theory; some solvable cases
-
DOI 10.1088/0954-898X/14/2/305, PII S0954898X03541240
-
L. Sirovich. Dynamics of neuronal populations: eigenfunction theory; some solvable cases. Network-computation in Neural Systems, 14 (2003), No. 2, 249-272. (Pubitemid 38002283)
-
(2003)
Network: Computation in Neural Systems
, vol.14
, Issue.2
, pp. 249-272
-
-
Sirovich, L.1
-
42
-
-
0034479938
-
Dynamics of neuronal populations: The equilibrium solution
-
DOI 10.1137/S0036139998344921
-
L. Sirovich, A. Omrtag, B. W. Knight. Dynamics of neuronal populations: The equilibrium solution. SIAM J. Appl. Math., 60 (2000), No. 6, 2009-2028. (Pubitemid 32138240)
-
(2000)
SIAM Journal on Applied Mathematics
, vol.60
, Issue.6
, pp. 2009-2028
-
-
Sirovich, L.1
Omurtag, A.2
Knight, B.W.3
-
43
-
-
70349394805
-
Sync: The emerging science of spontaneous order
-
S. Strogatz. Sync: The emerging science of spontaneous order. Hyperion, 2003.
-
(2003)
Hyperion
-
-
Strogatz, S.1
-
44
-
-
4344669019
-
The nonlinear Schrödinger equation
-
Springer-Verlag, New York
-
C Sulem, P.-L. Sulem. The nonlinear Schrödinger equation. Applied Mathematical Sciences, Vol. 139, Springer-Verlag, New York, 1999.
-
(1999)
Applied Mathematical Sciences
, vol.139
-
-
Sulem, C.1
Sulem, P.-L.2
-
46
-
-
0000821114
-
Dynamics of two mutually coupled slow inhibitory neurons
-
PII S0167278997003126
-
D. Terman, N. Kopell, A. Bose. Dynamics of two mutually coupled slow inhibitory neurons. Phys. D, 117 (1998), No. 1-4, 241-275. (Pubitemid 128676602)
-
(1998)
Physica D: Nonlinear Phenomena
, vol.117
, Issue.1-4
, pp. 241-275
-
-
Terman, D.1
Kopell, N.2
Bose, A.3
-
47
-
-
0000094836
-
Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions
-
M. Tsodyks, I. Mitkov, H. Sompolinsky. Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. Phys. Rev. Lett., 71 (1993), No. 8, 1280-1283.
-
(1993)
Phys. Rev. Lett.
, vol.71
, Issue.8
, pp. 1280-1283
-
-
Tsodyks, M.1
Mitkov, I.2
Sompolinsky, H.3
-
48
-
-
0032758081
-
A simple model of circadian rhythms based on dimerization and proteolysis of PER and TIM
-
J. J. Tyson, C. I. Hong, C. D. Thron, B. Novak. A Simple Model of Circadian Rhythms Based on Dimerization and Proteolysis of PER and TIM. Biophys. J., 77 (1999), No. 5, 2411-2417. (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
-
49
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media (A Review)
-
J. J. Tyson, J. P. Keener. Singular perturbation theory of traveling waves in excitable media (a review). Phys. D, 32 (1988), No. 3, 327-361.
-
(1988)
Phys. D
, vol.32
, Issue.3
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
-
50
-
-
0028679412
-
When inhibition not excitation synchronizes neural firing
-
C. van Vreeswijk, L. Abbott, G. Ermentrout. When inhibition not excitation synchronizes neural firing. J. Comp. Neurosci., 1 (1994), No. 4, 313-322.
-
(1994)
J. Comp. Neurosci.
, vol.1
, Issue.4
, pp. 313-322
-
-
Van Vreeswijk, C.1
Abbott, L.2
Ermentrout, G.3
-
51
-
-
0032528729
-
Chaotic balance state in a model of cortical circuits
-
C. van Vreeswijk, H. Sompolinsky. Chaotic balance state in a model of cortical circuits. Neur. Comp., 10 (1998), No. 6, 1321-1372.
-
(1998)
Neur. Comp.
, vol.10
, Issue.6
, pp. 1321-1372
-
-
Van Vreeswijk, C.1
Sompolinsky, H.2
-
52
-
-
33645400661
-
The geometry of biological time
-
Springer-Verlag, New York
-
A. T. Winfree. The geometry of biological time. Interdisciplinary Applied Mathematics, Vol. 12, Springer-Verlag, New York, 2001.
-
(2001)
Interdisciplinary Applied Mathematics
, vol.12
-
-
Winfree, A.T.1
|