-
2
-
-
0031184911
-
A dynamical system approach to SOC models of Zhang's type
-
Blanchard Ph., Cessac B. and Krüger T. (1997). A dynamical system approach to SOC models of Zhang's type. J. Stat. Phys. 88: 307-318
-
(1997)
J. Stat. Phys.
, vol.88
, pp. 307-318
-
-
Blanchard, Ph.1
Cessac, B.2
Krüger, T.3
-
3
-
-
0033633230
-
What can one learn about self-organized criticality from dynamical system theory?
-
Blanchard Ph., Cessac B. and Krüger T. (2000). What can one learn about self-organized criticality from dynamical system theory?. J. Stat. Phys. 98: 375-404
-
(2000)
J. Stat. Phys.
, vol.98
, pp. 375-404
-
-
Blanchard, Ph.1
Cessac, B.2
Krüger, T.3
-
5
-
-
0033210816
-
Fast global oscillations in networks of integrate-and-fire neurons with low firing rates
-
Brunel N. and Hakim V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput. 11: 1621-1671
-
(1999)
Neural Comput.
, vol.11
, pp. 1621-1671
-
-
Brunel, N.1
Hakim, V.2
-
6
-
-
0001961264
-
Mean-field equations, bifurcation map and route to chaos in discrete time neural networks
-
Cessac B., Doyon B., Quoy M. and Samuelides M. (1994). Mean-field equations, bifurcation map and route to chaos in discrete time neural networks. Physica D 74: 24-44
-
(1994)
Physica D
, vol.74
, pp. 24-44
-
-
Cessac, B.1
Doyon, B.2
Quoy, M.3
Samuelides, M.4
-
7
-
-
84957330048
-
Occurence of chaos and at line in random neural networks
-
8
-
Cessac B. (1994). Occurence of chaos and AT line in random neural networks. Europhys. Lett. 26(8): 577-582
-
(1994)
Europhys. Lett.
, vol.26
, pp. 577-582
-
-
Cessac, B.1
-
8
-
-
0000362119
-
Increase in complexity in random neural networks
-
Cessac B. (1995). Increase in complexity in random neural networks. J. de Physique I (France) 5: 409-432
-
(1995)
J. de Physique i (France)
, vol.5
, pp. 409-432
-
-
Cessac, B.1
-
9
-
-
36749056255
-
Mean field theory for random recurrent spiking neural networks
-
October 18-21 Brugge, Belgium
-
Cessac, B., Mazet, O., Samuelides, M., Soula, H.: Mean field theory for random recurrent spiking neural networks. NOLTA'05 (Non Linear Theory and its Applications) October 18-21, 2005, Brugge, Belgium
-
(2005)
NOLTA'05 (Non Linear Theory and Its Applications)
-
-
Cessac, B.1
Mazet, O.2
Samuelides, M.3
Soula, H.4
-
11
-
-
41349089523
-
Stable resonances and signal propagation in a chaotic network of coupled units
-
Cessac B. and Sepulchre J.A. (2004). Stable resonances and signal propagation in a chaotic network of coupled units. Phys. Rev. E 70: 056111
-
(2004)
Phys. Rev. e
, vol.70
, pp. 056111
-
-
Cessac, B.1
Sepulchre, J.A.2
-
12
-
-
33645679781
-
Transmitting a signal by amplitude modulation in a chaotic network
-
Cessac B. and Sepulchre J.A. (2006). Transmitting a signal by amplitude modulation in a chaotic network. Chaos 16: 013104
-
(2006)
Chaos
, vol.16
, pp. 013104
-
-
Cessac, B.1
Sepulchre, J.A.2
-
13
-
-
36749084550
-
Linear Response in a class of simple systems far from equilibrium
-
Cessac, B., Sepulchre, J.A.: Linear Response in a class of simple systems far from equilibrium. Physica D 225(1): 13-28
-
Physica D
, vol.225
, Issue.1
, pp. 13-28
-
-
Cessac, B.1
Sepulchre, J.A.2
-
17
-
-
33645053513
-
Discrete time piecewise affine models of genetic regulatory networks
-
Coutinho R., Fernandez B., Lima R. and Meyroneinc A. (2006). Discrete time piecewise affine models of genetic regulatory networks. J. Math. Biol. 52: 524-570
-
(2006)
J. Math. Biol.
, vol.52
, pp. 524-570
-
-
Coutinho, R.1
Fernandez, B.2
Lima, R.3
Meyroneinc, A.4
-
18
-
-
0032053304
-
Self- Organization and Dynamics reduction in recurrent networks: Stimulus presentation and learning
-
Dauce E., Quoy M., Cessac B., Doyon B. and Samuelides M. (1998). Self- Organization and Dynamics reduction in recurrent networks: stimulus presentation and learning. Neural Netw 11: 521-533
-
(1998)
Neural Netw
, vol.11
, pp. 521-533
-
-
Dauce, E.1
Quoy, M.2
Cessac, B.3
Doyon, B.4
Samuelides, M.5
-
19
-
-
0001444374
-
Dynamical phaste transition in non-symmetric spin glasses
-
Derrida B. (1987). Dynamical phaste transition in non-symmetric spin glasses. J. Phys. A Math. Gen. 20: 721-725
-
(1987)
J. Phys. A Math. Gen.
, vol.20
, pp. 721-725
-
-
Derrida, B.1
-
20
-
-
36149035332
-
Multivalley structure in Kauffman's model: Analogy with spin glasses
-
Derrida B. and Flyvbjerg H. (1986). Multivalley structure in Kauffman's model: analogy with spin glasses. J. Phys. A19: L1003-L1008
-
(1986)
J. Phys.
, vol.19
-
-
Derrida, B.1
Flyvbjerg, H.2
-
21
-
-
84956252965
-
Random networks of automata: A simple annealed approximation
-
Derrida B. and Pomeau Y. (1986). Random networks of automata: a simple annealed approximation. Europhys. Lett. 1: 45-49
-
(1986)
Europhys. Lett.
, vol.1
, pp. 45-49
-
-
Derrida, B.1
Pomeau, Y.2
-
22
-
-
35949018382
-
Ergodic Theory of Strange attractors
-
Eckmann J.P. and Ruelle D. (1985). Ergodic Theory of Strange attractors. Rev. Mod. Phys. 57: 617
-
(1985)
Rev. Mod. Phys.
, vol.57
, pp. 617
-
-
Eckmann, J.P.1
Ruelle, D.2
-
24
-
-
36749068325
-
The statistics of spikes trains for some simple types of neuron models
-
Pont-à-Mousson, France
-
Faugeras, O., Papadopoulo, T., Touboul, J., Bossy, M., Tanre, E., Talay, D.: The Statistics of Spikes Trains for Some Simple Types of Neuron Models. In: Proceedings of the NeuroComp 2006 Conference, Pont-à-Mousson, France (2006)
-
(2006)
Proceedings of the NeuroComp 2006 Conference
-
-
Faugeras, O.1
Papadopoulo, T.2
Touboul, J.3
Bossy, M.4
Tanre, E.5
Talay, D.6
-
29
-
-
77956707015
-
Current carried by sodium and potassium ions through the membrane of the giant axon of Loligo
-
Hodgkin A.L. and Huxley A.F. (1952). Current carried by sodium and potassium ions through the membrane of the giant axon of Loligo. J. Physiol. (Lond.) 116: 449-472
-
(1952)
J. Physiol. (Lond.)
, vol.116
, pp. 449-472
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
30
-
-
35649001607
-
A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes
-
Hodgkin A.L. and Huxley A.F. (1952). A quantitative description of ion currents and its applications to conduction and excitation in nerve membranes. J. Physiol. (Lond.) 117: 500-544
-
(1952)
J. Physiol. (Lond.)
, vol.117
, pp. 500-544
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
31
-
-
84967728280
-
Prevalence: A translation-invariant 'almost every' on infinite-dimensional spaces
-
Hunt B.R., Sauer T. and Yorke J.A. (1992). Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces. Bull. Am. Math. Soc. 27: 217-238
-
(1992)
Bull. Am. Math. Soc.
, vol.27
, pp. 217-238
-
-
Hunt, B.R.1
Sauer, T.2
Yorke, J.A.3
-
32
-
-
0742268989
-
Simple model of spiking neurons
-
Izhikevich E.M. (2003). Simple model of spiking neurons. IEEE Trans Neural Netw 14: 1569-572
-
(2003)
IEEE Trans Neural Netw
, vol.14
, pp. 1569-572
-
-
Izhikevich, E.M.1
-
38
-
-
45149138762
-
Computation at the edge of chaos
-
Langton C.G. (1990). Computation at the edge of chaos. Physica D 42: 12-37
-
(1990)
Physica D
, vol.42
, pp. 12-37
-
-
Langton, C.G.1
-
39
-
-
29144511579
-
Dynamical complexity of discrete time regulatory networks
-
Lima R. and Ugalde E. (2006). Dynamical complexity of discrete time regulatory networks. Nonlinearity 19: 237-259
-
(2006)
Nonlinearity
, vol.19
, pp. 237-259
-
-
Lima, R.1
Ugalde, E.2
-
42
-
-
0001823266
-
Adaptation towards the edge of chaos
-
Kelso, J.A.S, Mandell, A.J., Shlesinger, M.F. (eds.) World Scientific, Singapore
-
Packard, N.: Adaptation towards the edge of chaos. In: Kelso, J.A.S, Mandell, A.J., Shlesinger, M.F. (eds.) Dynamic Patterns in Complex Systems. pp. 293-301. World Scientific, Singapore (1988)
-
(1988)
Dynamic Patterns in Complex Systems
, pp. 293-301
-
-
Packard, N.1
-
43
-
-
0000271607
-
Zeta functions and the periodic orbit structure of hyperbolic dynamics
-
Société Mathématique de France
-
Parry, W., Pollicott, M.: Zeta functions and the periodic orbit structure of hyperbolic dynamics. Collection Asterisque 187-188, Société Mathématique de France (1990)
-
(1990)
Collection Asterisque
, vol.187-188
-
-
Parry, W.1
Pollicott, M.2
-
44
-
-
0003634127
-
-
MIT Press
-
Rieke, F., Warland, D., de Ruyter van Steveninck, R., Bialek, W.: Spikes: exploring the neural code. MIT Press (1999)
-
(1999)
Spikes: Exploring the Neural Code
-
-
Rieke, F.1
Warland, D.2
Deruytervansteveninck, R.3
Bialek, W.4
-
45
-
-
27744439912
-
The role of delays in shaping the spatio-temporal dynamics of neuronal activity in large networks
-
Roxin N.B. and Hansel D. (2005). The role of delays in shaping the spatio-temporal dynamics of neuronal activity in large networks. Phys. Rev. Lett. 94: 238103
-
(2005)
Phys. Rev. Lett.
, vol.94
, pp. 238103
-
-
Roxin, N.B.1
Hansel, D.2
-
46
-
-
33748464002
-
Analytical integrate and fire neuron models with conductance-based dynamics for event driven simulation strategies
-
Rudolph M. and Destexhe A. (2006). Analytical integrate and fire neuron models with conductance-based dynamics for event driven simulation strategies. Neural Comput. 18: 2146-2210
-
(2006)
Neural Comput.
, vol.18
, pp. 2146-2210
-
-
Rudolph, M.1
Destexhe, A.2
-
47
-
-
84956071330
-
Gibbs measures in ergodic theory
-
4
-
Sinai Ya.G. (1972). Gibbs measures in ergodic theory. Russ. Math. Surv. 27(4): 21-69
-
(1972)
Russ. Math. Surv.
, vol.27
, pp. 21-69
-
-
Sinai, Ya.G.1
-
49
-
-
85009367586
-
Equilibrium states and the ergodic theory of Anosov diffeomorphisms
-
Springer, Berlin
-
Bowen, R.: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lect. Notes. in Math., vol. 470. Springer, Berlin (1975)
-
(1975)
Lect. Notes. in Math.
, vol.470
-
-
Bowen, R.1
-
52
-
-
36749100509
-
Random recurrent neural Networks
-
review paper, to appear in, topics in neural networks Springer, Heidelberg
-
Samuelides, M., Cessac, B.: Random recurrent neural Networks. review paper, to appear in, topics in neural networks. Eur. Phys. J. (topical issue), Springer, Heidelberg (2006)
-
(2006)
Eur. Phys. J. (Topical Issue)
-
-
Samuelides, M.1
Cessac, B.2
-
53
-
-
33646170322
-
Weak pairwise correlations imply strongly correlated network states in a neural population
-
04701
-
Schneidman, E., Berry, M.J., Segev, R., Bialek, W.: Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 04701, vol. 440 (2006)
-
(2006)
Nature
, vol.440
-
-
Schneidman, E.1
Berry, M.J.2
Segev, R.3
Bialek, W.4
-
55
-
-
33644875527
-
Spontaneous dynamics of assymmetric random recurrent spiking neural networks
-
Soula H., Beslon G. and Mazet O. (2006). Spontaneous dynamics of assymmetric random recurrent spiking neural networks. Neural Comput. 18: 1
-
(2006)
Neural Comput.
, vol.18
, pp. 1
-
-
Soula, H.1
Beslon, G.2
Mazet, O.3
|