. En-revanche and . De-nombreusesétudesnombreusesétudes-théoriques, et numériques) ont montré que la synchronisationémergesynchronisationémerge naturellemment de réseaux de neurones impulsionnels interconnectés Ainsi des connexions synaptiques entre des intègre-et-tire engendre une synchronisation (locale) lorsqu'ils déchargentdéchargentà la même fréquence [140, 204]. De plus, un réseau d'intègre-et-tire connectés localement par des synapses excitatricesévolueexcitatricesévolue vers une activité oscillatoire localement synchronisée

. Synchronisation-par-un-réseau-d, interneurones Enfin, il appara??tappara??t que la synchronisation peutêtrepeutêtre provoquée par un réseau d'interneurones inhibiteurs connectés mutuellement par des synapsesélectriques synapsesélectriques [77] (dites aussi gap junction). L'activité de ce réseau peut-? etre oscillatoire

D. Ainsi and . Le-système-olfactif, la présentation d'une odeurfamilì ere induit des réponses synchronisées [129] dûesdûesà des oscillations provoquées par un réseau d'interneurones inhibiteurs

. Dans-le-cortex-du-rat, les interneurones inhibiteurs dits fast-spiking (FS) (fréquence de déchargé elévée, et déchargerégulì ere, sans adaptation), qui sont fortement stimulés par les axones thalamocorticaux, sont connectés mutuellement par des synapsesélectriquessynapsesélectriques et, dans une moindre mesure, par des synapses chimiques, Cette connectivité induit in vitro des réponses synchroniséessynchroniséesà la milliseconde. La synchronisation dans ce type de réseau d'interneurones estégalementestégalement observée in vivo

. Un-autre-réseau-d, interneurones inhibiteurs corticaux, dits low-thresholdspiking (LTS), ´ egalement localement couplés par des synapsesélectriquessynapsesélectriques, mais non stimulés par le thalamus, montre lorsqu'il est stimulé une activité synchrone, rhythmique ou apériodique, echelle de la milliseconde, qui est répercutée sur les neurones environnants, excitateurs ou inhibiteurs (FS)

. Or, mais le temps des impulsions Il n'est pas utile de conna??treconna??tre avec précision la valeur du potentieì a chaque instant Dans un cas simple, celui du modèle de Lapicque avec des potentiels postsynaptiques en Diracs (une impulsion présynaptique provoque un saut de potentiel postsynaptique ), une méthode de simulation impulsionnelle a déjàdéjàété utilisée [204]. En effet, l'´ equation différentielle est alors soluble analytiquement et l'on peut se restreindrè a calculer la valeur du potentiel uniquement aux instants des impulsions présynaptiques (les impulsions postsynaptiques ne peuvent avoir lieu qu'` a ces instants) On obtient ainsi une simulationàsimulationà la fois efficace (temps proportionnel au nombre d'impulsions) et extrêmement précise (calcul effectué avec la précision interne de la machine), ce qui est crucial si l'onétudieonétudie la synchronisation. En dehors de ce cas simple o` u l'on peut calculer analytiquement les solutions de l'´ equation différentielle, on estime qu'il est nécessaire d'utiliser un schéma d'intégration, Brain Res Bull, pp.50-303, 1907.

L. F. Abbott and S. B. Nelson, Synaptic plasticity: taming the beast, Nature Neuroscience, vol.3, issue.Supp, pp.1178-83, 2000.
DOI : 10.1038/81453

E. Adrian, The physical background of perception, 1946.

H. Agmon-snir, C. E. Carr, and J. , The role of dendrites in auditory coincidence detection, Nature, pp.393-268, 1998.

H. Agmon-snir and I. Segev, Signal delay and input synchronization in passive dendritic structures, J Neurophysiol, vol.70, pp.2066-85, 1993.

E. Ahissar and A. Arieli, Figuring Space by Time, Neuron, vol.32, issue.2, pp.32-185, 2001.
DOI : 10.1016/S0896-6273(01)00466-4

J. Alonso, W. Usrey, and R. Reid, Precisely correlated firing in cells of the lateral geniculate nucleus Rules of connectivity between geniculate cells and simple cells in cat primary visual cortex, Nature J Neurosci, vol.383, issue.21, pp.815-824, 1996.

P. Alstrom, B. Christiansen, and M. Levinsen, Nonchaotic Transition from Quasiperiodicity to Complete Phase Locking, Physical Review Letters, vol.61, issue.15, pp.61-1679, 1988.
DOI : 10.1103/PhysRevLett.61.1679

J. Anderson, M. Carandini, and D. Ferster, Orientation tuning of input conductance, excitation, and inhibition in cat primary visual cortex, J Neurophysiol, vol.84, pp.909-935, 2000.

J. Anderson, I. Lampl, D. Gillespie, and D. Ferster, The Contribution of Noise to Contrast Invariance of Orientation Tuning in Cat Visual Cortex, Science, vol.290, issue.5498, pp.290-1968, 2000.
DOI : 10.1126/science.290.5498.1968

M. Anthony and N. Biggs, Computational Learning Theory, Cambridge Tracts in Theoretical Computer Science, 1992.

O. Artun, H. Shouval, and L. Cooper, The effect of dynamic synapses on spatiotemporal receptive fields in visual cortex, Proceedings of the National Academy of Sciences, vol.76, issue.1, pp.95-11999, 1998.
DOI : 10.1007/BF00198480

]. C. Ascoli, M. Barbi, S. Chillemi, and D. Petracchi, Phase-locked responses in the Limulus lateral eye. Theoretical and experimental investigation, Biophysical Journal, vol.19, issue.3, pp.219-259, 1977.
DOI : 10.1016/S0006-3495(77)85583-5

J. Aubin and H. Frankowska, Set-valued analysis, 1990.
DOI : 10.1007/978-1-4612-1576-9_5

R. Azouz and C. Gray, Dynamic spike threshold reveals a mechanism for synaptic coincidence detection in cortical neurons in vivo Adaptive coincidence detection and dynamic gain control in visual cortical neurons in vivo, Neuron, vol.17, pp.97-8110, 2000.

R. Baddeley, L. Abbott, M. Booth, F. Sengpiel, T. Freeman et al., Responses of neurons in primary and inferior temporal visual cortices to natural scenes, Proceedings of the Royal Society B: Biological Sciences, vol.264, issue.1389, pp.1775-83, 1997.
DOI : 10.1098/rspb.1997.0246

W. Bair, Spike timing in the mammalian visual system, Current Opinion in Neurobiology, vol.9, issue.4, pp.447-53, 1999.
DOI : 10.1016/S0959-4388(99)80067-1

W. Bair and C. Koch, Temporal Precision of Spike Trains in Extrastriate Cortex of the Behaving Macaque Monkey, Neural Computation, vol.79, issue.6, pp.1185-202, 1996.
DOI : 10.1007/BF00275002

U. Beierholm, C. Nielsen, J. Ryge, P. Alstrom, and O. Kiehn, Characterization of reliability of spike timing in spinal interneurons during oscillating inputs, J Neurophysiol, vol.86, pp.1858-68, 2001.

M. Beierlein, J. Gibson, and B. Connors, A network of electrically coupled interneurons drives synchronized inhibition in neocortex, Nature neurosci, vol.3, pp.904-910, 2000.

O. Bernander, R. J. Douglas, K. A. Martin, and C. Koch, Synaptic background activity influences spatiotemporal integration in single pyramidal cells., Proceedings of the National Academy of Sciences, vol.88, issue.24, pp.11569-73, 1991.
DOI : 10.1073/pnas.88.24.11569

M. Berry, D. Warland, and M. Meister, The structure and precision of retinal spike trains, Proceedings of the National Academy of Sciences, vol.49, issue.2, pp.5411-5417, 1997.
DOI : 10.1085/jgp.40.5.683

C. M. Bishop, Neural networks for pattern recognition, 1995.

P. O. Bishop, J. S. Coombs, and G. H. Henry, Receptive fields of simple cells in the cat striate cortex, The Journal of Physiology, vol.231, issue.1, pp.231-262, 1973.
DOI : 10.1113/jphysiol.1973.sp010218

C. Blakemore and E. A. Tobin, Lateral inhibition between orientation detectors in the cat's visual cortex, Experimental Brain Research, vol.15, issue.4, pp.439-479, 1972.
DOI : 10.1007/BF00234129

L. J. Borg-graham, C. Monier, and Y. Fregnac, Visual input evokes transient and strong shunting inhibition in visual cortical neurons, Nature, pp.393-369, 1998.

A. Borst and F. Theunissen, Information theory and neural coding, Nature Neuroscience, vol.2, issue.11, pp.947-57, 1999.
DOI : 10.1038/14731

A. Brand, O. Behrend, T. Marquardt, D. Mcalpine, and B. Grothe, Precise inhibition is essential for microsecond interaural time difference coding, Nature, vol.93, issue.6888, pp.417-543, 2002.
DOI : 10.1002/(SICI)1096-9861(19970901)385:3<405::AID-CNE5>3.3.CO;2-#

R. Brette, Rotation numbers of discontinuous orientation-preserving circle maps, Set-Valued Analysis Dynamics of one-dimensional spiking neuron models, J Math Biol, vol.1132, pp.359-371, 2003.

R. Brette and E. Guigon, Reliability of spike timing is a general property of spiking model neurons Synchronization-based selectivity to orientation in a model of a primary visual cortex neuron, Neural Comput, vol.1534, pp.279-308, 2003.

I. H. Brivanlou, D. K. Warland, and M. Meister, Mechanisms of Concerted Firing among Retinal Ganglion Cells, Neuron, vol.20, issue.3, pp.527-566, 1998.
DOI : 10.1016/S0896-6273(00)80992-7

C. D. Brody and J. J. Hopfield, Simple Networks for Spike-Timing-Based Computation, with Application to Olfactory Processing, Neuron, vol.37, issue.5, pp.843-52, 2003.
DOI : 10.1016/S0896-6273(03)00120-X

G. Bugmann, C. Christodoulou, and J. Taylor, Role of Temporal Integration and Fluctuation Detection in the Highly Irregular Firing of a Leaky Integrator Neuron Model with Partial Reset, Neural Computation, vol.13, issue.5, pp.985-1000, 1997.
DOI : 10.1016/S0022-5193(83)80013-7

G. Buracas, A. Zador, M. Deweese, and T. Albright, Efficient Discrimination of Temporal Patterns by Motion-Sensitive Neurons in Primate Visual Cortex, Neuron, vol.20, issue.5, pp.20-959, 1998.
DOI : 10.1016/S0896-6273(00)80477-8

A. Burkitt and G. Clark, Analysis of Integrate-and-Fire Neurons: Synchronization of Synaptic Input and Spike Output, Neural Computation, vol.56, issue.4, pp.871-901, 1999.
DOI : 10.1162/neco.1993.5.4.570

G. Buzsaki, Theta Oscillations in the Hippocampus, Neuron, vol.33, issue.3, pp.33-325, 2002.
DOI : 10.1016/S0896-6273(02)00586-X

S. Campbell, D. Wang, and C. Jayaprakash, Synchrony and Desynchrony in Integrate-and-Fire Oscillators, Neural Computation, vol.75, issue.7, pp.1595-619, 1999.
DOI : 10.1162/neco.1997.9.4.805

M. Carandini, D. Heeger, and W. Senn, A synaptic explanation of suppression in visual cortex, J Neurosci, vol.22, pp.10053-65, 2002.

M. Carandini and D. J. Heeger, Summation and division by neurons in primate visual cortex, Science, vol.264, issue.5163, pp.1333-1339, 1994.
DOI : 10.1126/science.8191289

M. Carandini, J. A. Movshon, and D. Ferster, Pattern adaptation and cross-orientation interactions in the primary visual cortex, Neuropharmacology, vol.37, issue.4-5, pp.37-501, 1998.
DOI : 10.1016/S0028-3908(98)00069-0

S. Cash and R. Yuste, Linear Summation of Excitatory Inputs by CA1 Pyramidal Neurons, Neuron, vol.22, issue.2, pp.22-383, 1999.
DOI : 10.1016/S0896-6273(00)81098-3

F. S. Chance, L. F. Abbott, and A. D. Reyes, Gain Modulation from Background Synaptic Input, Neuron, vol.35, issue.4, pp.35-773, 2002.
DOI : 10.1016/S0896-6273(02)00820-6

B. Chapman, K. R. Zahs, and M. P. Stryker, Relation of cortical cell orientation selectivity to alignment of receptive fields of the geniculocortical afferents that arborize within a single orientation column in ferret visual cortex, J Neurosci, vol.11, pp.1347-58, 1991.

T. Christensen, V. Pawlowki, H. Lei, and J. Hildebrand, Multi-unit recordings reveal context-dependent modulation of synchrony in odor-specific neural ensembles, Nature Neuroscience, vol.3, issue.9, pp.927-931, 2000.
DOI : 10.1038/78840

S. Chung and D. Ferster, Strength and Orientation Tuning of the Thalamic Input to Simple Cells Revealed by Electrically Evoked Cortical Suppression, Neuron, vol.20, issue.6, pp.1177-89, 1998.
DOI : 10.1016/S0896-6273(00)80498-5

S. Coombes, Liapunov exponents and mode-locked solutions for integrate-and-fire dynamical systems, Physics Letters a, 1999.
DOI : 10.1016/S0375-9601(99)00172-3

C. L. Cox, W. Denk, D. W. Tank, and K. Svoboda, Action potentials reliably invade axonal arbors of rat neocortical neurons, Proceedings of the National Academy of Sciences, vol.16, issue.6, pp.97-9724, 2000.
DOI : 10.1016/0166-2236(93)90160-N

O. D. Creutzfeldt, U. Kuhnt, and L. A. Benevento, An intracellular analysis of visual cortical neurones to moving stimuli: Responses in a co-operative neuronal network, Experimental Brain Research, vol.21, issue.3, pp.251-74, 1974.
DOI : 10.1007/BF00235746

J. Csicsvari, B. Jamieson, K. D. Wise, and G. Buzsaki, Mechanisms of Gamma Oscillations in the Hippocampus of the Behaving Rat, Neuron, vol.37, issue.2, pp.37-311, 2003.
DOI : 10.1016/S0896-6273(02)01169-8

A. Das, Orientation in Visual Cortex: A Simple Mechanism Emerges, Neuron, vol.16, issue.3, pp.16-477, 1996.
DOI : 10.1016/S0896-6273(00)80067-7

A. De-cheveigne, Cancellation model of pitch perception, The Journal of the Acoustical Society of America, vol.103, issue.3, pp.1261-71, 1998.
DOI : 10.1121/1.423232
URL : https://hal.archives-ouvertes.fr/hal-01105674

W. De-melo and S. Van-strien, One-dimensional dynamics, 1993.

R. De-ruyter-van-steveninck, G. Lewen, S. Strong, R. Koberle, and W. Bialek, Reproducibility and Variability in Neural Spike Trains, Science, vol.275, issue.5307, pp.275-1805, 1997.
DOI : 10.1126/science.275.5307.1805

R. Decharms and M. Merzenich, Primary cortical representation of sounds by the coordination of action-potential timing, Nature, vol.381, issue.6583, pp.381-610, 1996.
DOI : 10.1038/381610a0

A. Denjoy, Sur les courbes définies par leséquationsleséquations différentiellesdifférentiellesà la surface du tore, J Math Pures Appl, vol.9, pp.333-375, 1932.

A. Destexhe, Conductance-Based Integrate-and-Fire Models, Neural Computation, vol.44, issue.3, pp.503-517, 1997.
DOI : 10.1016/S0006-3495(91)82186-5
URL : https://hal.archives-ouvertes.fr/hal-00120630

A. Destexhe and D. Pare, Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo, J Neurophysiol, vol.81, pp.1531-1578, 1999.

A. Destexhe, M. Rudolph, and D. Pare, The high-conductance state of neocortical neurons in vivo, Nature Reviews Neuroscience, vol.4, issue.9, pp.739-51, 2003.
DOI : 10.1038/nrn1198
URL : https://hal.archives-ouvertes.fr/hal-00299172

R. J. Douglas and K. A. Martin, A functional microcircuit for cat visual cortex., The Journal of Physiology, vol.440, issue.1, pp.735-69, 1991.
DOI : 10.1113/jphysiol.1991.sp018733

R. J. Douglas, K. A. Martin, and D. Whitteridge, Selective responses of visual cortical cells do not depend on shunting inhibition, Nature, vol.332, issue.6165, pp.332-642, 1988.
DOI : 10.1038/332642a0

A. Draguhn, R. D. Traub, D. Schmitz, and J. G. Jefferys, Electrical coupling underlies high-frequency oscillations in the hippocampus in vitro, Nature, vol.391, issue.6689, pp.394-189, 1998.
DOI : 10.1038/28184

B. Ermentrout, Type I Membranes, Phase Resetting Curves, and Synchrony, Neural Computation, vol.4, issue.5, pp.979-1001, 1996.
DOI : 10.1016/0022-5193(67)90051-3

B. Ermentrout and N. Kopell, Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation, SIAM Journal on Applied Mathematics, vol.46, issue.2, pp.233-253, 1986.
DOI : 10.1137/0146017

J. Fellous, A. Houweling, R. Modi, R. Pao, P. Tiesinga et al., Frequency Dependence of Spike Timing Reliability in Cortical Pyramidal Cells and Interneurons, J Neurophysiology, vol.85, pp.1782-1787, 2001.

D. Ferster, Orientation selectivity of synaptic potentials in neurons of cat primary visual cortex, J Neurosci, vol.6, pp.1284-301, 1986.

D. Ferster, S. Chung, and H. Wheat, Orientation selectivity of thalamic input to simple cells of cat visual cortex, Nature, vol.380, issue.6571, pp.380-249, 1996.
DOI : 10.1038/380249a0

D. Ferster and B. Jagadeesh, EPSP-IPSP interactions in cat visual cortex studied with in vivo whole-cell patch recording, J Neurosci, vol.12, pp.1262-74, 1992.

R. Fitzhugh, Impulses and Physiological States in Theoretical Models of Nerve Membrane, Biophysical Journal, vol.1, issue.6, pp.445-466, 1961.
DOI : 10.1016/S0006-3495(61)86902-6

T. Freeman, S. Durand, D. Kiper, and M. Carandini, Suppression without Inhibition in Visual Cortex, Neuron, vol.35, issue.4, pp.35-759, 2002.
DOI : 10.1016/S0896-6273(02)00819-X

P. Fries, J. Reynolds, A. Rorie, and R. Desimone, Modulation of Oscillatory Neuronal Synchronization by Selective Visual Attention, Science, vol.291, issue.5508, pp.291-1560, 2001.
DOI : 10.1126/science.1055465

M. Galarreta and S. Hestrin, A network of fast-spiking cells in the neocortex connected by electrical synapses, Electrical synapses between GABA-releasing interneurons, pp.402-72, 1999.

W. Gerstner and S. Neurons, A Framework for Spiking Neuron Models: The Spike Response Model, in The Handbook of Biological Physics, Pulsed Neural Networks, pp.3-54, 1998.

W. Gerstner and W. M. Kistler, Mathematical formulations of Hebbian learning, Biological Cybernetics, vol.87, issue.5-6, pp.404-419, 2002.
DOI : 10.1007/s00422-002-0353-y

J. R. Gibson, M. Beierlein, and B. W. Connors, Two networks of electrically coupled inhibitory neurons in neocortex, Nature, pp.402-75, 1999.

Z. Gil, B. W. Connors, and Y. Amitai, Efficacy of Thalamocortical and Intracortical Synaptic Connections, Neuron, vol.23, issue.2, pp.385-97, 1999.
DOI : 10.1016/S0896-6273(00)80788-6

L. Glass and J. Bélair, Continuation of Arnold Tongues in Mathematical Models of Periodically Forced Biological Oscillators, Nonlinear Oscillations in Biology and Chemistry, pp.232-243, 1986.
DOI : 10.1007/978-3-642-93318-9_14

L. Glass and R. Perez, Fine Structure of Phase Locking, Physical Review Letters, vol.48, issue.26, pp.1772-1775, 1982.
DOI : 10.1103/PhysRevLett.48.1772

M. Greschner, M. Bongard, P. Rujan, and J. Ammermuller, Retinal ganglion cell synchronization by fixational eye movements improves feature estimation, Nature Neuroscience, vol.5, issue.4, pp.341-348, 2002.
DOI : 10.1038/nn821

G. Grimmett and D. Stirzaker, Probability and random processes, 1992.

B. Grothe, Sensory systems: New roles for synaptic inhibition in sound localization, Nature Reviews Neuroscience, vol.4, issue.7, pp.540-50, 2003.
DOI : 10.1038/nrn1136

M. Gur, A. Beylin, and D. Snodderly, Response variability of neurons in primary visual cortex (V1) of alert monkeys, J Neurosci, vol.17, pp.2914-2934, 1997.

R. Guttman, L. Feldman, and E. Jakobsson, Frequency entrainment of squid axon membrane, The Journal of Membrane Biology, vol.15, issue.1, pp.9-18, 1980.
DOI : 10.1007/BF01869347

D. Hansel, G. Mato, C. Meunier, and L. Neltner, On Numerical Simulations of Integrate-and-Fire Neural Networks, Neural Computation, vol.9, issue.2, pp.467-83, 1998.
DOI : 10.1007/BF00961879

D. Hansel and C. Van-vreeswijk, How noise contributes to contrast invariance of orientation tuning in cat visual cortex, J Neurosci, vol.22, pp.5118-5146, 2002.

M. Hausser and A. Roth, Estimating the time course of the excitatory synaptic conductance in neocortical pyramidal cells using a novel voltage jump method, J Neurosci, vol.17, pp.7606-7631, 1997.

D. O. Hebb, The organization of behavior: A neuropsychological theory, 1949.

M. Herman, Conjugaison C ? des difféomorphismes du cercle pour presque tout nombre de rotation, C R Acad Sci, pp.283-579, 1976.

A. Hodgkin and A. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, The Journal of Physiology, vol.117, issue.4, pp.500-544, 1952.
DOI : 10.1113/jphysiol.1952.sp004764

J. Hopfield, Pattern recognition computation using action potential timing for stimulus representation, Nature, vol.376, issue.6535, pp.376-409, 1995.
DOI : 10.1038/376033a0

J. Hopfield and A. Herz, Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons., Proceedings of the National Academy of Sciences, vol.92, issue.15, pp.6655-62, 1995.
DOI : 10.1073/pnas.92.15.6655

J. J. Hopfield, Neural networks and physical systems with emergent collective computational abilities., Proceedings of the National Academy of Sciences, vol.79, issue.8, pp.2554-2562, 1982.
DOI : 10.1073/pnas.79.8.2554

D. Hubel and T. Wiesel, Receptive fields, binocular interaction and functional architecture in the cat's visual cortex, The Journal of Physiology, vol.160, issue.1, pp.106-154, 1962.
DOI : 10.1113/jphysiol.1962.sp006837

J. Hunter, J. Milton, P. Thomas, and J. Cowan, Resonance effect for neural spike time reliability, J neurophysiol, vol.80, pp.1427-1465, 1998.

J. D. Hunter and J. G. Milton, Amplitude and Frequency Dependence of Spike Timing: Implications for Dynamic Regulation, Journal of Neurophysiology, vol.90, issue.1, pp.387-394, 2003.
DOI : 10.1152/jn.00074.2003

L. Jeffress, A place theory of sound localization., Journal of Comparative and Physiological Psychology, vol.41, issue.1, pp.35-39, 1948.
DOI : 10.1037/h0061495

M. Jensen, P. Bak, and T. Bohr, Complete devil's staircase, fractal dimension and universality of mode-locking structure in the circle map, Physical review letters, pp.50-1637, 1983.

O. Jensen and J. Lisman, Position reconstruction from an ensemble of hippocampal place cells: Contribution of theta phase coding, J neurophysiol, vol.83, pp.2602-2609, 2000.

R. Jensen, Synchronization of randomly driven nonlinear oscillators, Physical review e, pp.6907-6910, 1998.

P. X. Joris, L. H. Carney, P. H. Smith, and T. C. Yin, Enhancement of neural synchronization in the anteroventral cochlear nucleus. I. Responses to tones at the characteristic frequency, J Neurophysiol, pp.71-1022, 1994.

P. X. Joris, P. H. Smith, and T. C. Yin, Coincidence Detection in the Auditory System, Neuron, vol.21, issue.6, pp.1235-1243, 1998.
DOI : 10.1016/S0896-6273(00)80643-1

P. Kara, P. Reinagel, and R. Reid, Low Response Variability in Simultaneously Recorded Retinal, Thalamic, and Cortical Neurons, Neuron, vol.27, issue.3, pp.27-635, 2000.
DOI : 10.1016/S0896-6273(00)00072-6

J. Keener, Chaotic behavior in piecewise continuous difference equations, Transactions of the American Mathematical Society, vol.261, issue.2, pp.261-589, 1980.
DOI : 10.1090/S0002-9947-1980-0580905-3

J. Keener, F. Hoppensteadt, and J. , Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input, SIAM Journal on Applied Mathematics, vol.41, issue.3, pp.41-503, 1981.
DOI : 10.1137/0141042

R. Kempter, W. Gerstner, and J. L. Van-hemmen, Hebbian learning and spiking neurons Intrinsic stabilization of output rates by spike-based Hebbian learning, Phys Rev E Neural Comput, vol.59115, pp.4498-4514, 1999.

R. Klump and H. Eady, Some Measurements of Interaural Time Difference Thresholds, The Journal of the Acoustical Society of America, vol.28, issue.5, pp.859-860, 1956.
DOI : 10.1121/1.1908493

B. Knight, Dynamics of encoding in a population of neurons The relationship between the firing rate of a single neuron and the level of activity in a population of neurons, J Gen Physiol J Gen Physiol, vol.59118, pp.734-66, 1972.

C. Koch and I. Segev, The role of single neurons in information processing, Nature Neuroscience, vol.3, issue.Supp, pp.1171-1178, 2000.
DOI : 10.1038/81444

T. Kohonen, Associative memory: A system-theoretical approach, 1977.
DOI : 10.1007/978-3-642-96384-1

P. Konig and A. K. Engel, Correlated firing in sensory-motor systems, Current Opinion in Neurobiology, vol.5, issue.4, pp.511-520, 1995.
DOI : 10.1016/0959-4388(95)80013-1

P. Konig, A. K. Engel, and W. Singer, Integrator or coincidence detector? The role of the cortical neuron revisited, Trends in Neurosciences, vol.19, issue.4, pp.130-137, 1996.
DOI : 10.1016/S0166-2236(96)80019-1

M. Konishi, Listening with Two Ears, Scientific American, vol.268, issue.4, pp.66-73, 1993.
DOI : 10.1038/scientificamerican0493-66

J. Kwapisz, Poincar?? rotation number for maps of the real line with almost periodic displacement, Nonlinearity, vol.13, issue.5, pp.13-1841, 2000.
DOI : 10.1088/0951-7715/13/5/320

I. Lampl, I. Reichova, and D. Ferster, Synchronous Membrane Potential Fluctuations in Neurons of the Cat Visual Cortex, Neuron, vol.22, issue.2, pp.22-361, 1999.
DOI : 10.1016/S0896-6273(00)81096-X

L. Lapicque, Recherches quantitatives sur l'excitationélectriqueexcitationélectrique des nerfs traitée comme une polarisation, J Physiol Pathol Gen, vol.9, pp.620-635, 1907.

G. Laurent, Olfactory network dynamics and the coding of multidimensional signals, Nature Reviews Neuroscience, vol.278, issue.11, pp.884-95, 2002.
DOI : 10.1038/nrn964

G. Laurent and H. Davidowitz, Encoding of Olfactory Information with Oscillating Neural Assemblies, Science, vol.265, issue.5180, pp.265-1872, 1994.
DOI : 10.1126/science.265.5180.1872

S. Levay and C. D. Gilbert, Laminar patterns of geniculocortical projection in the cat, Brain Research, vol.113, issue.1, pp.1-19, 1976.
DOI : 10.1016/0006-8993(76)90002-0

J. C. Licklider, A duplex theory of pitch perception, Experientia, vol.43, issue.4, pp.128-134, 1951.
DOI : 10.1007/BF02156143

M. London and I. Segev, Synaptic scaling in vitro and in vivo, Nature Neuroscience, vol.84, issue.9, pp.853-858, 2001.
DOI : 10.1038/nn0901-853

K. Macleod, A. Backer, and G. Laurent, Who reads temporal information contained across synchronized and oscillatory spike trains?, Nature, pp.395-693, 1998.

K. Macleod and G. Laurent, Distinct Mechanisms for Synchronization and Temporal Patterning of Odor-Encoding Neural Assemblies, Science, vol.274, issue.5289, pp.274-976, 1996.
DOI : 10.1126/science.274.5289.976

J. C. Magee, Dendritic integration of excitatory synaptic input, Nature Reviews Neuroscience, vol.1, issue.3, pp.181-90, 2000.
DOI : 10.1038/35044552

J. C. Magee and E. P. Cook, Somatic EPSP amplitude is independent of synapse location in hippocampal pyramidal neurons, Nature Neuroscience, vol.3, issue.9, pp.895-903, 2000.
DOI : 10.1038/78800

Z. Mainen and T. Sejnowski, Reliability of spike timing in neocortical neurons, Science, vol.268, issue.5216, pp.1503-1506, 1995.
DOI : 10.1126/science.7770778

L. M. Martinez, J. M. Alonso, R. C. Reid, and J. A. Hirsch, Laminar processing of stimulus orientation in cat visual cortex, The Journal of Physiology, vol.496, issue.1, pp.540-321, 2002.
DOI : 10.1113/jphysiol.2001.012776

A. C. Mason, M. L. Oshinsky, and R. R. Hoy, Hyperacute directional hearing in a microscale auditory system, Nature, pp.410-686, 2001.

]. P. Matthews, R. Mirollo, and S. Strogatz, Dynamics of a large system of coupled nonlinear oscillators, Physica D: Nonlinear Phenomena, vol.52, issue.2-3, pp.293-331, 1991.
DOI : 10.1016/0167-2789(91)90129-W

W. S. Mcculloch and W. H. Pitts, A logical calculus of the ideas immanent in nervous activity, Bull Math Biophys, 1943.

M. Meister, L. Lagnado, and D. Baylor, Concerted Signaling by Retinal Ganglion Cells, Science, vol.270, issue.5239, pp.1207-1217, 1995.
DOI : 10.1126/science.270.5239.1207

K. Miller and T. Troyer, Neural noise can explain expansive, power-law nonlinearities in neural response functions, J Neurophysiol, vol.87, pp.653-662, 2002.

C. Monier, F. Chavane, P. Baudot, L. J. Graham, and Y. Fregnac, Orientation and Direction Selectivity of Synaptic Inputs in Visual Cortical Neurons, Neuron, vol.37, issue.4, pp.37-663, 2003.
DOI : 10.1016/S0896-6273(03)00064-3
URL : https://hal.archives-ouvertes.fr/hal-00123859

J. Nagumo, S. Arimoto, and S. Yoshizawa, An Active Pulse Transmission Line Simulating Nerve Axon, Proc. IRE, pp.2061-2071, 1962.
DOI : 10.1109/JRPROC.1962.288235

L. Nowak, M. Sanchez-vives, and D. Mccormick, Influence of low and high frequency inputs on spike timing in visual cortical neurons, Cerebral Cortex, vol.7, issue.6, pp.487-501, 1997.
DOI : 10.1093/cercor/7.6.487

J. O. Keefe and J. Dostrovsky, The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat, Brain Research, vol.34, issue.1, pp.171-176, 1971.
DOI : 10.1016/0006-8993(71)90358-1

A. Peters and B. R. Payne, Numerical Relationships between Geniculocortical Afferents and Pyramidal Cell Modules in Cat Primary Visual Cortex, Cerebral Cortex, vol.3, issue.1, pp.69-78, 1993.
DOI : 10.1093/cercor/3.1.69

H. Poincaré, Sur les courbes définies par leséquationsleséquations différentielles, J math pures app i, 1885.

B. Quenet and D. Horn, The Dynamic Neural Filter: A Binary Model of Spatiotemporal Coding, Neural Computation, vol.14, issue.2, pp.309-329, 2003.
DOI : 10.1038/384162a0

D. Reich, F. Mechler, K. Purpura, and J. Victor, Interspike intervals, receptive fields, and information encoding in primary visual cortex, J Neurosci, vol.20, pp.1964-74, 2000.

D. Reich, J. Victor, and B. Knight, The power ratio and the interval map: spiking models and extracellular recordings, J Neurosci, vol.18, pp.10090-104, 1998.

D. Reich, J. Victor, B. Knight, T. Ozaki, and E. Kaplan, Response variability and timing precision of neuronal spike trains in vivo, J Neurophysiol, pp.77-2836, 1997.

R. Reid and J. Alonso, Specificity of monosynaptic connections from thalamus to visual cortex, Nature, pp.378-281, 1995.

P. Reinagel and R. Reid, Temporal coding of visual information in the thalamus, J Neurosci, vol.20, pp.5392-400, 2000.

A. Rescigno, R. Stein, R. Purple, and R. Poppele, A neuronal model for the discharge patterns produced by cyclic inputs, The Bulletin of Mathematical Biophysics, vol.11, issue.3, pp.337-353, 1970.
DOI : 10.1007/BF02476873

A. D. Reyes, Synchrony-dependent propagation of firing rate in iteratively constructed networks in vitro, Nature Neuroscience, vol.6, issue.6, pp.593-602, 2003.
DOI : 10.1038/nn1056

F. Rhodes and C. Thompson, Rotation Numbers for Monotone Functions on the Circle, Journal of the London Mathematical Society, vol.2, issue.2, pp.360-368, 1986.
DOI : 10.1112/jlms/s2-34.2.360

A. Riehle, S. Grun, M. Diesmann, and A. Aertsen, Spike Synchronization and Rate Modulation Differentially Involved in Motor Cortical Function, Science, vol.278, issue.5345, pp.278-1950, 1997.
DOI : 10.1126/science.278.5345.1950

R. Ritz and T. J. Sejnowski, Synchronous oscillatory activity in sensory systems: new vistas on mechanisms, Current Opinion in Neurobiology, vol.7, issue.4, pp.536-582, 1997.
DOI : 10.1016/S0959-4388(97)80034-7

F. Rosenblatt, Principle of Neurodynamics, Spartan Books, 1962.

M. Rudolph and A. Destexhe, The discharge variability of neocortical neurons during high-conductance states, Neuroscience, vol.119, issue.3, pp.855-73, 2003.
DOI : 10.1016/S0306-4522(03)00164-7
URL : https://hal.archives-ouvertes.fr/hal-00123854

D. E. Rumelhart, G. E. Hinton, and R. J. Williams, Learning Internal Representations by Error Propagation, pp.318-362, 1986.
DOI : 10.1016/B978-1-4832-1446-7.50035-2

E. Salinas and T. Sejnowski, Impact of correlated synaptic input on output firing rate and variability in simple neuronal models, J Neurosci, vol.20, pp.6193-6209, 2000.

M. J. Schnitzer and M. Meister, Multineuronal Firing Patterns in the Signal from Eye to Brain, Neuron, vol.37, issue.3, pp.37-499, 2003.
DOI : 10.1016/S0896-6273(03)00004-7

J. Schummers, J. Marino, and M. Sur, Synaptic Integration by V1 Neurons Depends on Location within the Orientation Map, Neuron, vol.36, issue.5, pp.36-969, 2002.
DOI : 10.1016/S0896-6273(02)01012-7

G. Sclar and R. Freeman, Orientation selectivity in the cat's striate cortex is invariant with stimulus contrast, Experimental Brain Research, vol.34, issue.3, pp.457-61, 1982.
DOI : 10.1007/BF00238641

M. Shadlen and W. Newsome, The variable discharge of cortical neurons: implications for connectivity, computation, and information coding, J Neurosci, vol.18, pp.3870-96, 1998.

M. N. Shadlen and J. A. Movshon, Synchrony Unbound, Neuron, vol.24, issue.1, pp.24-67, 1999.
DOI : 10.1016/S0896-6273(00)80822-3
URL : http://doi.org/10.1016/s0896-6273(00)80822-3

M. N. Shadlen and W. T. Newsome, Noise, neural codes and cortical organization Is there a signal in the noise?, Curr Opin Neurobiol Curr Opin Neurobiol, vol.4176, issue.5, pp.569-79, 1994.

M. J. Shelley and L. Tao, Efficient and accurate time-stepping schemes for integrate-and-fire neuronal networks, Journal of Computational Neuroscience, vol.11, issue.2, pp.111-120, 2001.
DOI : 10.1023/A:1012885314187

S. Shinomoto, Y. Sakai, and S. Funahashi, The Ornstein-Uhlenbeck Process Does Not Reproduce Spiking Statistics of Neurons in Prefrontal Cortex, Neural Computation, vol.13, issue.4, pp.935-51, 1999.
DOI : 10.1126/science.274.5293.1724

A. M. Sillito, The contribution of inhibitory mechanisms to the receptive field properties of neurones in the striate cortex of the cat., The Journal of Physiology, vol.250, issue.2, pp.305-334, 1975.
DOI : 10.1113/jphysiol.1975.sp011056

A. M. Sillito, J. A. Kemp, J. A. Milson, and N. Berardi, A re-evaluation of the mechanisms underlying simple cell orientation selectivity, Brain Research, vol.194, issue.2, pp.194-517, 1980.
DOI : 10.1016/0006-8993(80)91234-2

W. Singer, Neuronal Synchrony: A Versatile Code for the Definition of Relations?, Neuron, vol.24, issue.1, pp.24-49, 1999.
DOI : 10.1016/S0896-6273(00)80821-1

W. Softky and C. Koch, The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs, J Neurosci, vol.13, pp.334-50, 1993.

W. R. Softky, Simple codes versus efficient codes, Current Opinion in Neurobiology, vol.5, issue.2, pp.239-286, 1995.
DOI : 10.1016/0959-4388(95)80032-8

D. Somers, S. Nelson, and M. Sur, An emergent model of orientation selectivity in cat visual cortical simple cells, J Neurosci, vol.15, pp.5448-65, 1995.

S. Song and L. Abbot, Cortical Development and Remapping through Spike Timing-Dependent Plasticity, Neuron, vol.32, issue.2, pp.32-339, 2001.
DOI : 10.1016/S0896-6273(01)00451-2
URL : http://doi.org/10.1016/s0896-6273(01)00451-2

S. Song, K. Miller, and L. Abbott, Competitive Hebbian learning through spike-timing-dependent synaptic plasticity, Nature Neurosci, vol.3, pp.919-926, 2000.

E. A. Stern, D. Jaeger, and C. J. Wilson, Membrane potential synchrony of simultaneously recorded striatal spiny neurons in vivo, Nature, pp.394-475, 1998.

C. F. Stevens and A. M. Zador, Input synchrony and the irregular firing of cortical neurons, Nature Neuroscience, vol.54, issue.3, pp.210-217, 1998.
DOI : 10.1038/659

M. Stopfer, S. Bhagavan, B. H. Smith, and G. Laurent, Impaired odour discrimination on desynchronization of odour-encoding neural assemblies, Nature, pp.390-70, 1997.

K. J. Stratford, K. Tarczy-hornoch, K. A. Martin, N. J. Bannister, and J. J. Jack, Excitatory synaptic inputs to spiny stellate cells in cat visual cortex, Nature, vol.382, issue.6588, pp.382-258, 1996.
DOI : 10.1038/382258a0

H. A. Swadlow, I. N. Beloozerova, and M. G. Sirota, Sharp, local synchrony among putative feed-forward inhibitory interneurons of rabbit somatosensory cortex, J Neurophysiol, pp.79-567, 1998.

H. A. Swadlow, J. D. Kocsis, and S. G. Waxman, Modulation of Impulse Conduction Along the Axonal Tree, Annual Review of Biophysics and Bioengineering, vol.9, issue.1, pp.143-79, 1980.
DOI : 10.1146/annurev.bb.09.060180.001043

G. Swiatek, Rational rotation numbers for maps of the circle, Communications in Mathematical Physics, vol.50, issue.1, pp.109-128, 1988.
DOI : 10.1007/BF01218263

K. Tanaka, Cross-correlation analysis of geniculostriate neuronal relationships in cats, J Neurophysiol, vol.49, pp.1303-1321, 1983.

P. Tiesinga, J. Fellous, and T. Sejnowski, Attractor Reliability Reveals Deterministic Structure in Neuronal Spike Trains, Neural Computation, vol.79, issue.7, pp.1629-1650, 2002.
DOI : 10.1016/S0960-9822(98)70154-X

P. H. Tiesinga, Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons, Physical Review E, vol.65, issue.4, pp.65-041913, 2002.
DOI : 10.1103/PhysRevE.65.041913

D. J. Tolhurst and A. F. Dean, The effects of contrast on the linearity of spatial summation of simple cells in the cat's striate cortex, Experimental Brain Research, vol.79, issue.3, pp.79-582, 1990.
DOI : 10.1007/BF00229326

A. Treisman, The binding problem, Current Opinion in Neurobiology, vol.6, issue.2, pp.171-179, 1996.
DOI : 10.1016/S0959-4388(96)80070-5

T. Troyer, A. Krukowski, N. Priebe, and K. Miller, Contrastinvariant orientation tuning in cat visual cortex: thalamocortical input tuning and correlation-based intracortical connectivity, J Neurosci, vol.18, pp.5908-5935, 1998.

T. Troyer and K. Miller, Physiological Gain Leads to High ISI Variability in a Simple Model of a Cortical Regular Spiking Cell, Neural Computation, vol.21, issue.5, pp.971-83, 1997.
DOI : 10.1016/S0022-5193(83)80013-7

M. Tsodyks, I. I. Mitkov, and H. Sompolinsky, Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions, Physical Review Letters, vol.71, issue.8, pp.71-1280, 1993.
DOI : 10.1103/PhysRevLett.71.1280

W. Usrey, J. Alonso, and R. Reid, Synaptic interactions between thalamic inputs to simple cells in cat visual cortex, J Neurosci, vol.20, pp.5461-5468, 2000.

W. Usrey and R. Reid, SYNCHRONOUS ACTIVITY IN THE VISUAL SYSTEM, Annual Review of Physiology, vol.61, issue.1, pp.61-435, 1999.
DOI : 10.1146/annurev.physiol.61.1.435

W. M. Usrey, The role of spike timing for thalamocortical processing, Current Opinion in Neurobiology, vol.12, issue.4, pp.411-418, 2002.
DOI : 10.1016/S0959-4388(02)00339-2

W. M. Usrey, J. B. Reppas, and R. C. Reid, Paired-spike interactions and synaptic efficacy of retinal inputs to the thalamus, Nature, pp.395-384, 1998.

J. Veerman, Irrational rotation numbers, Nonlinearity, vol.2, issue.3, pp.419-428, 1989.
DOI : 10.1088/0951-7715/2/3/003

J. Victor and K. Purpura, Nature and precision of temporal coding in visual cortex: a metric-space analysis, J Neurophysiol, vol.76, pp.1310-1336, 1996.

T. R. Vidyasagar and J. A. Siguenza, Relationship between orientation tuning and spatial frequency in neurones of cat area 17, Experimental Brain Research, vol.57, issue.3, pp.628-659, 1985.
DOI : 10.1007/BF00237851

M. Volgushev, X. Pei, T. R. Vidyasagar, and O. D. Creutzfeldt, Abstract, Visual Neuroscience, vol.160, issue.06, pp.1151-1156, 1993.
DOI : 10.1097/00001756-199108000-00019

M. Volgushev, J. Pernberg, and U. Eysel, A novel mechanism of response selectivity of neurons in cat visual cortex, The Journal of Physiology, vol.11, issue.suppl. 11, pp.307-327, 2002.
DOI : 10.1113/jphysiol.2001.012974

A. Warzecha and M. Egelhaaf, Variability in Spike Trains During Constant and Dynamic Stimulation, Science, vol.283, issue.5409, pp.283-1927, 1999.
DOI : 10.1126/science.283.5409.1927

M. A. Webster, R. L. De, and . Valois, Relationship between spatial-frequency and orientation tuning of striate-cortex cells, Journal of the Optical Society of America A, vol.2, issue.7, pp.1124-1156, 1985.
DOI : 10.1364/JOSAA.2.001124

M. Wehr and G. Laurent, Odour encoding by temporal sequences of firing in oscillating neural assemblies, Nature, vol.384, issue.6605, pp.384-162, 1996.
DOI : 10.1038/384162a0

F. Wightman, The pattern-transformation model of pitch, J Acoust Soc Am, pp.54-407, 1973.

R. Yuste and D. W. Tank, Dendritic Integration in Mammalian Neurons, a Century after Cajal, Neuron, vol.16, issue.4, pp.16-701, 1996.
DOI : 10.1016/S0896-6273(00)80091-4