L. F. Abbott and C. Van-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

J. A. Acebron, L. L. Bonilla, C. J. Perez-vicente, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Reviews of Modern Physics, vol.77, issue.1, pp.77-137, 2005.
DOI : 10.1103/RevModPhys.77.137

M. A. Berger and Y. Wang, Bounded semigroups of matrices, Linear Algebra and its Applications, vol.166, pp.21-27, 1992.
DOI : 10.1016/0024-3795(92)90267-E

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.2180-2190, 1999.
DOI : 10.1103/PhysRevE.60.2160

T. Danino, O. Mondragon-palomino, L. S. Tsimring, and J. Hasty, A synchronized quorum of genetic clocks, Nature, vol.44, issue.7279, pp.326-330, 2010.
DOI : 10.1038/nature08753

U. Ernst, K. Pawelzik, and T. Geisel, Synchronization Induced by Temporal Delays in Pulse-Coupled Oscillators, Physical Review Letters, vol.74, issue.9, p.1570, 1995.
DOI : 10.1103/PhysRevLett.74.1570
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.3872

B. Fernandez and L. S. Tsimring, Corepressive interaction and clustering of degrade-and-fire oscillators, Physical Review E, vol.84, issue.5, p.51916, 2011.
DOI : 10.1103/PhysRevE.84.051916
URL : https://hal.archives-ouvertes.fr/hal-00576106

B. Fernandez and L. S. Tsimring, Typical trajectories of coupled degrade-and-fire oscillators: from dispersed populations to massive clustering, Journal of Mathematical Biology, vol.51, issue.7, 2013.
DOI : 10.1007/s00285-013-0680-8
URL : https://hal.archives-ouvertes.fr/hal-00687741

E. I. Jury, Theory and applications of the z-transform method, 1964.

Y. Kuramoto, Chemical oscillations, waves and turbulence, 1984.
DOI : 10.1007/978-3-642-69689-3

Y. Kuramoto, Collective synchronization of pulse-coupled oscillators and excitable units, Physica D: Nonlinear Phenomena, vol.50, issue.1, pp.15-30, 1991.
DOI : 10.1016/0167-2789(91)90075-K

W. Mather, M. R. Bennet, J. Hasty, and L. S. Tsimring, Delay-Induced Degrade-and-Fire Oscillations in Small Genetic Circuits, Physical Review Letters, vol.102, issue.6, p.68105, 2009.
DOI : 10.1103/PhysRevLett.102.068105

A. Mauroy and R. Sepulchre, Global Analysis of a Continuum Model for Monotone Pulse-Coupled Oscillators, IEEE Transactions on Automatic Control, vol.58, issue.5, pp.1154-1166, 2013.
DOI : 10.1109/TAC.2012.2229811

R. E. Mirollo and S. H. Strogatz, Synchronization of Pulse-Coupled Biological Oscillators, SIAM Journal on Applied Mathematics, vol.50, issue.6, pp.50-1645, 1990.
DOI : 10.1137/0150098

C. S. Peskin, Mathematical aspects of heart physiology, Courant Institute of Mathematical Science Publication, 1975.

A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A universal concept in nonlinear sciences, 2001.
DOI : 10.1017/CBO9780511755743

G. Rota and G. Strang, A note on the joint spectral radius, Proc. Netherlands Academy, pp.379-381, 1960.

W. Seen and R. Urbanczik, Similar nonleaky integrate-and-fire neurons with instantaneous couplings always synchronize, SIAM J. Appl. Math, pp.61-1143, 2000.

S. H. Strogatz, From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D: Nonlinear Phenomena, vol.143, issue.1-4, pp.1-20, 2000.
DOI : 10.1016/S0167-2789(00)00094-4

J. J. Tyson, K. Chen, and B. Novak, MILESTONESNETWORK DYNAMICS AND CELL PHYSIOLOGY, Nature Reviews Molecular Cell Biology, vol.2, issue.12, pp.908-916, 2001.
DOI : 10.1038/35103078