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

A. T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators, Journal of Theoretical Biology, vol.16, issue.1, p.15, 1967.
DOI : 10.1016/0022-5193(67)90051-3

H. Daido, Order Function and Macroscopic Mutual Entrainment in Uniformly Coupled Limit-Cycle Oscillators, Progress of Theoretical Physics, vol.88, issue.6, pp.1213-1218, 1992.
DOI : 10.1143/ptp/88.6.1213

H. Sakaguchi, Cooperative Phenomena in Coupled Oscillator Systems under External Fields, Progress of Theoretical Physics, vol.79, issue.1, pp.39-46, 1988.
DOI : 10.1143/PTP.79.39

H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Mutual Entrainment in Oscillator Lattices with Nonvariational Type Interaction, Progress of Theoretical Physics, vol.79, issue.5, pp.1069-1079, 1988.
DOI : 10.1143/PTP.79.1069

E. M. Izhikevich, Phase models with explicit time delays, Physical Review E, vol.58, issue.1, p.905, 1998.
DOI : 10.1103/PhysRevE.58.905

M. K. Yeung and S. H. Strogatz, Time Delay in the Kuramoto Model of Coupled Oscillators, Physical Review Letters, vol.82, issue.3, p.648, 1999.
DOI : 10.1103/PhysRevLett.82.648

H. Sakaguchi, S. Shinomoto, and Y. Kuramoto, Local and Grobal Self-Entrainments in Oscillator Lattices, Progress of Theoretical Physics, vol.77, issue.5, p.1005, 1987.
DOI : 10.1143/PTP.77.1005

H. Hong, M. Y. Choi, and B. Kim, Synchronization on small-world networks, Physical Review E, vol.65, issue.2, p.26139, 2002.
DOI : 10.1103/PhysRevE.65.026139

B. Ermentrout, An adaptive model for synchrony in the firefly Pteroptyx malaccae, Journal of Mathematical Biology, vol.50, issue.6, pp.571-585, 1991.
DOI : 10.1007/BF00164052

K. Wiesenfeld, P. Colet, and S. H. Strogatz, Synchronization Transitions in a Disordered Josephson Series Array, Physical Review Letters, vol.76, issue.3, p.404, 1996.
DOI : 10.1103/PhysRevLett.76.404

B. Trees, V. Saranathan, and D. Stroud, Synchronization in disordered Josephson junction arrays: Small-world connections and the Kuramoto model, Physical Review E, vol.71, issue.1, p.16215, 2005.
DOI : 10.1103/PhysRevE.71.016215

G. Filatrella, A. H. Nielsen, and N. F. Pedersen, Analysis of a power grid using a Kuramoto-like model, The European Physical Journal B, vol.75, issue.4, pp.485-491, 2008.
DOI : 10.1140/epjb/e2008-00098-8

S. Olmi, A. Navas, S. Boccaletti, and A. Torcini, Hysteretic transitions in the Kuramoto model with inertia, Physical Review E, vol.90, issue.4, p.42905, 2014.
DOI : 10.1103/PhysRevE.90.042905

P. Ji, T. K. Peron, P. J. Menck, F. A. Rodrigues, and J. Kurths, Cluster Explosive Synchronization in Complex Networks, Physical Review Letters, vol.110, issue.21, p.218701, 2013.
DOI : 10.1103/PhysRevLett.110.218701

H. Tanaka, A. J. Lichtenberg, and S. Oishi, First Order Phase Transition Resulting from Finite Inertia in Coupled Oscillator Systems, Physical Review Letters, vol.78, issue.11, p.2104, 1997.
DOI : 10.1103/PhysRevLett.78.2104

J. A. Acebrón and R. Spigler, Adaptive Frequency Model for Phase-Frequency Synchronization in Large Populations of Globally Coupled Nonlinear Oscillators, Physical Review Letters, vol.81, issue.11, p.2229, 1998.
DOI : 10.1103/PhysRevLett.81.2229

H. Tanaka, A. J. Lichtenberg, and S. Oishi, Self-synchronization of coupled oscillators with hysteretic responses, Physica D: Nonlinear Phenomena, vol.100, issue.3-4, p.279, 1997.
DOI : 10.1016/S0167-2789(96)00193-5

J. D. Crawford, Amplitude equations for electrostatic waves: Universal singular behavior in the limit of weak instability, Physics of Plasmas, vol.2, issue.1, pp.97-128, 1995.
DOI : 10.1063/1.871120

J. D. Crawford, Amplitude expansions for instabilities in populations of globally-coupled oscillators, Journal of Statistical Physics, vol.322, issue.5-6, pp.1047-1084, 1994.
DOI : 10.1007/BF02188217

J. D. Crawford, Scaling and Singularities in the Entrainment of Globally Coupled Oscillators, Physical Review Letters, vol.74, issue.21, p.4341, 1995.
DOI : 10.1103/PhysRevLett.74.4341

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

E. Ott and T. M. Antonsen, Low dimensional behavior of large systems of globally coupled oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.18, issue.3, p.37113, 2008.
DOI : 10.1063/1.2930766

E. A. Martens, E. Barreto, S. H. Strogatz, E. Ott, P. So et al., Exact results for the Kuramoto model with a bimodal frequency distribution, Physical Review E, vol.79, issue.2, p.26204, 2009.
DOI : 10.1103/PhysRevE.79.026204

J. A. Acebrón, L. L. Bonilla, and R. Spigler, Synchronization in populations of globally coupled oscillators with inertial effects, Physical Review E, vol.62, issue.3, p.3437, 2000.
DOI : 10.1103/PhysRevE.62.3437

J. A. Acebrón, L. L. Bonilla, C. J. Vicente-pérez, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Reviews of Modern Physics, vol.77, issue.1, pp.137-185, 2005.
DOI : 10.1103/RevModPhys.77.137

M. Komarov, S. Gupta, and A. Pikovsky, Synchronization transitions in globally coupled rotors in the presence of noise and inertia: Exact results, EPL (Europhysics Letters), vol.106, issue.4, p.40003, 2014.
DOI : 10.1209/0295-5075/106/40003

A. Campa, T. Dauxois, and S. Ruffo, Statistical mechanics and dynamics of solvable models with long-range interactions, Physics Reports, vol.480, issue.3-6, p.57, 2009.
DOI : 10.1016/j.physrep.2009.07.001

URL : https://hal.archives-ouvertes.fr/hal-00530806

O. E. Omel-'chenko and M. Wolfrum, Nonuniversal Transitions to Synchrony in the Sakaguchi-Kuramoto Model, Phys. Rev. Lett, vol.109, p.164101, 2012.

S. Gupta, A. Campa, and S. Ruffo, Nonequilibrium first-order phase transition in coupled oscillator systems with inertia and noise, Physical Review E, vol.89, issue.2, p.22123, 2014.
DOI : 10.1103/PhysRevE.89.022123

H. Hong, H. Chaté, H. Park, and L. Tang, Entrainment Transition in Populations of Random Frequency Oscillators, Physical Review Letters, vol.99, issue.18, p.184101, 2007.
DOI : 10.1103/PhysRevLett.99.184101

H. Chiba, Abstract, Ergodic Theory and Dynamical Systems, pp.762-834, 2015.
DOI : 10.1063/1.3647317

H. Dietert, Stability and bifurcation for the Kuramoto model, Journal de Math??matiques Pures et Appliqu??es, vol.105, issue.4, pp.451-489, 2015.
DOI : 10.1016/j.matpur.2015.11.001