L. F. Abbott, C. Van, and . Vreeswijk, Asynchronous states in networks of pulse-coupled oscillators, Physical Review E, vol.48, issue.2, pp.1483-1490, 1993.
DOI : 10.1103/PhysRevE.48.1483

A. Amarasingham, T. L. Chen, S. Geman, M. T. Harrison, and D. L. Sheinberg, Spike Count Reliability and the Poisson Hypothesis, Journal of Neuroscience, vol.26, issue.3, pp.801-809, 2006.
DOI : 10.1523/JNEUROSCI.2948-05.2006

D. J. Amit, Modeling Brain Function: The World of Attractor Neural Networks, 1992.
DOI : 10.1017/CBO9780511623257

D. G. Aronson, M. Golubitsky, and M. Krupa, Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry, Nonlinearity, issue.4, pp.861-902, 1991.

P. Ashwin, G. P. King, and J. W. Swift, Three identical oscillators with symmetric coupling, Nonlinearity, vol.3, issue.3, pp.3-585, 1990.
DOI : 10.1088/0951-7715/3/3/003

P. C. Bressloff, Mean-field theory of globally coupled integrate-and-fire neural oscillators with dynamic synapses, Physical Review E, vol.60, issue.2, pp.60-2160, 1999.
DOI : 10.1103/PhysRevE.60.2160

P. C. Bressloff and S. Coombes, A Dynamical Theory of Spike Train Transitions in Networks of Integrate-and-Fire Oscillators, SIAM Journal on Applied Mathematics, vol.60, issue.3, pp.820-841, 2000.
DOI : 10.1137/S0036139998339643

N. Brunel, Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons, Journal of Computational Neuroscience, vol.8, issue.3, pp.183-203, 2000.
DOI : 10.1023/A:1008925309027

M. Calamai, A. Politi, and A. Torcini, Stability of splay states in globally coupled rotators, Physical Review E, vol.80, issue.3, pp.80-036209, 2009.
DOI : 10.1103/PhysRevE.80.036209

C. C. Chow, Phase-locking in weakly heterogeneous neuronal networks, Physica D: Nonlinear Phenomena, vol.118, issue.3-4, pp.343-370, 1998.
DOI : 10.1016/S0167-2789(98)00082-7

S. Coombes, Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models, SIAM Journal on Applied Dynamical Systems, vol.7, issue.3, pp.1101-1129, 2008.
DOI : 10.1137/070707579

D. Durstewitz, J. K. Seamans, and T. J. Sejnowski, Neurocomputational models of working memory, Nature Neuroscience, vol.3, issue.Supp, pp.1184-1191, 2000.
DOI : 10.1038/81460

G. 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

S. Funahashi, C. J. Bruce, and P. S. Goldman-rakic, Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex, J. Neurophysiol, pp.61-331, 1989.

J. M. Fuster and J. P. Jervey, Inferotemporal neurons distinguish and retain behaviorally relevant features of visual stimuli, Science, vol.212, issue.4497, pp.212-952, 1981.
DOI : 10.1126/science.7233192

W. Gerstner and W. K. Kistler, Spiking Neuron Models, 2002.

D. Golomb, D. Hansel, B. Shraiman, and H. Sompolinsky, Clustering in globally coupled phase oscillators, Physical Review A, vol.45, issue.6, pp.45-3516, 1992.
DOI : 10.1103/PhysRevA.45.3516

B. S. Gutkin, C. R. Laing, C. Colby, C. C. Chow, and G. B. Ermentrout, Turning on and off with excitation: The role of spike-timing asynchrony and synchrony in sustained neural activity, J. Comput. Neurosci, pp.11-121, 2001.
URL : https://hal.archives-ouvertes.fr/hal-00326261

P. Hadley and M. R. Beasley, Dynamical states and stability of linear arrays of Josephson junctions, Applied Physics Letters, vol.50, issue.10, pp.621-623, 1987.
DOI : 10.1063/1.98100

V. Hakim and W. , Dynamics of the globally coupled complex Ginzburg-Landau equation, Physical Review A, vol.46, issue.12, pp.7347-7350, 1992.
DOI : 10.1103/PhysRevA.46.R7347

D. Hansel and G. Mato, Asynchronous States and the Emergence of Synchrony in Large Networks of Interacting Excitatory and Inhibitory Neurons, Neural Computation, vol.16, issue.1, pp.1-56, 2003.
DOI : 10.1016/S0167-8760(00)00173-2

URL : https://hal.archives-ouvertes.fr/hal-00173810

D. Hansel and G. Mato, Existence and Stability of Persistent States in Large Neuronal Networks, Physical Review Letters, vol.86, issue.18, pp.4175-4178, 2001.
DOI : 10.1103/PhysRevLett.86.4175

D. Z. Jin, Fast Convergence of Spike Sequences to Periodic Patterns in Recurrent Networks, Physical Review Letters, vol.89, issue.20, p.208102, 2002.
DOI : 10.1103/PhysRevLett.89.208102

Z. P. Kilpatrick and B. Ermentrout, Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks, PLoS Computational Biology, vol.238, issue.Pt 1, p.1002281, 2011.
DOI : 10.1371/journal.pcbi.1002281.s001

C. R. Laing and C. C. Chow, Stationary Bumps in Networks of Spiking Neurons, Neural Computation, vol.16, issue.2, pp.1473-1494, 2001.
DOI : 10.1007/BF00288786

J. S. Lamb and J. A. Roberts, Time-reversal symmetry in dynamical systems: A survey, Physica D: Nonlinear Phenomena, vol.112, issue.1-2, pp.1-39, 1998.
DOI : 10.1016/S0167-2789(97)00199-1

G. Maimon, J. A. Assad, and B. Poisson, Increased spike-time regularity across primate parietal cortex, Neuron, pp.62-426, 2009.

S. Nichols and K. Wiesenfield, Ubiquitous neutral stability of splay-phase states, Physical Review A, vol.45, issue.12, pp.8430-8345, 1992.
DOI : 10.1103/PhysRevA.45.8430

T. Seidel and B. Werner, Breaking the Symmetry in a Car-Following Model, PAMM, vol.6, issue.1, pp.657-658, 2006.
DOI : 10.1002/pamm.200610309

N. Spruston, P. Jonas, and B. Sakmann, Dendritic glutamate receptor channels in rat hippocampal CA3 and CA1 pyramidal neurons., The Journal of Physiology, vol.482, issue.2, pp.325-352, 1995.
DOI : 10.1113/jphysiol.1995.sp020521

S. H. Strogatz and R. E. Mirollo, Splay states in globally coupled Josephson arrays: Analytical prediction of Floquet multipliers, Physical Review E, vol.47, issue.1, pp.47-220, 1993.
DOI : 10.1103/PhysRevE.47.220

K. Y. Tsang and I. B. Schwartz, Interhyperhedral diffusion in Josephson-junction arrays, Physical Review Letters, vol.68, issue.15, pp.2265-2268, 1992.
DOI : 10.1103/PhysRevLett.68.2265

C. Van and . Vreeswijk, Partial synchronization in populations of pulse-coupled oscillators, Phys. Rev. E, vol.54, pp.5522-5537, 1996.

X. Wang and G. Buzsáki, Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model, J. Neurosci, vol.16, pp.6402-6413, 1996.

S. Watanabe and S. H. Strogatz, Constants of motion for superconducting Josephson arrays, Physica D: Nonlinear Phenomena, vol.74, issue.3-4, pp.197-253, 1994.
DOI : 10.1016/0167-2789(94)90196-1

K. Wiesenfield, C. Bracikowski, G. James, and R. Roy, Observation of antiphase states in a multimode laser, Physical Review Letters, vol.65, issue.14, pp.65-1749, 1990.
DOI : 10.1103/PhysRevLett.65.1749

A. T. Winfree, The Geometry of Biological Time, 1980.
DOI : 10.1007/978-3-662-22492-2

R. Zillmer, R. Livi, A. Politi, and A. Torcini, Stability of the splay state in pulse-coupled networks, Physical Review E, vol.76, issue.4, pp.76-046102, 2007.
DOI : 10.1103/PhysRevE.76.046102