J. A. Acebron, L. L. Bonilla, C. J. Pérez-vicente, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Mod. Phys, vol.77, pp.137-185, 2005.

L. Ambrosio, N. Gigli, and G. Savaré, Gradient Flows in Metric Spces and the Space of Probability Measures, 2008.

V. Ameri, M. Eghbali-arani, A. Mari, A. Farace, F. Kheirandish et al., Mutual information as an order parameter for quantum sychronization, Phys. Review A, vol.91, p.12301, 2015.
DOI : 10.1103/physreva.91.012301

URL : http://arxiv.org/pdf/1412.2585

J. Buck and E. Buck, Biology of synchronous flashing of fireflies, Nature, vol.211, 1966.

J. Cho, S. Choi, and S. Ha, Practical quantum synchronization for the SchrodingerLohe system, J. Physics A, vol.49, p.205203, 2016.

S. Choi and S. Ha, Complete entrainment of Lohe oscillators under attractive and repulsive couplings, SIAM. J. App. Dyn, vol.13, pp.1417-1441, 2013.
DOI : 10.1137/140961699

Y. Choi, S. Ha, S. Jung, and Y. Kim, Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model, Physica D, pp.735-754, 2012.

N. Chopra and M. W. Spong, On exponential synchronization of Kuramoto oscillators, IEEE Trans. Automatic Control, vol.54, pp.353-357, 2009.
DOI : 10.1109/tac.2008.2007884

L. Deville, Synchronization and Stability for Quantum Kuramoto

J. Dong and X. Xue, Synchronization analysis of Kuramoto oscillators, Commun. Math. Sci, vol.11, pp.465-480, 2013.
DOI : 10.4310/cms.2013.v11.n2.a7

URL : http://www.intlpress.com/site/pub/files/_fulltext/journals/cms/2013/0011/0002/CMS-2013-0011-0002-a007.pdf

F. Dörfler and F. Bullo, Synchronization in complex networks of phase oscillators: A survey, Automatica, vol.50, pp.1539-1564, 2014.

F. Dörfler and F. Bullo, Exploring synchronization in complex oscillator networks, IEEE 51st Annual Conference on Decision and Control (CDC), pp.7157-7170, 2012.

F. Dörfler and F. Bullo, On the critical coupling for Kuramoto oscillators, SIAM. J. Appl. Dyn. Syst, vol.10, pp.1070-1099, 2011.

F. Golse and T. Paul, The Schrödinger equation in the mean-field and semiclassical regime, Arch. Rat. Mech. Anal, vol.223, pp.57-94, 2017.
DOI : 10.1007/s00205-016-1031-x

URL : http://arxiv.org/pdf/1510.06681

F. Golse, C. Mouhot, and T. Paul, On the mean-field and classical limits of quantum mechanics, Commun. Math. Phys, vol.343, pp.165-205, 2016.
DOI : 10.1007/s00220-015-2485-7

URL : https://hal.archives-ouvertes.fr/hal-01119132

S. Ha, H. W. Kim, and S. W. Ryoo, Emergence of phase-locked states for the Kuramoto model in a large coupling regime, Commun. Math. Sci, vol.14, pp.1073-1091, 2016.

S. Ha, D. Ko, and S. W. Ryoo, On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds

S. Ha, D. Ko, and S. W. Ryoo, Emergent dynamcis of a generalized Lohe model on some class of Lie groups, J. Stat. Phys, vol.168, pp.171-207, 2017.

S. Ha, D. Ko, J. Park, and X. Zhang, Collective synchronization of classical and quantum oscillators, EMS Surv. Math. Sci, vol.3, pp.209-267, 2016.
DOI : 10.4171/emss/17

S. Ha and S. W. Ryoo, On the emergence and orbital stability of phase-locked states for the Lohe model, J. Stat. Phys, vol.163, pp.411-439, 2016.

M. R. Hush, W. Li, S. Genway, I. Lesanovsky, and A. Armour, Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers, Phys. Re. A, vol.91, p.61401, 2015.

I. Goychuk, J. Casado-pascual, M. Morillo, J. Lehmann, and P. Hänggi, Quantum stochastic synchronization, Phys. Rev. Lett, vol.97, p.210601, 2006.

G. L. Giorgi, F. Galve, G. Manzano, P. Colet, and R. Zambrini, Quantum correlations and mutual synchronization, Phys. Rev. A, vol.85, p.52101, 2012.

H. J. Kimble, The quantum internet, Nature, vol.453, pp.1023-1030, 2008.

Y. Kuramoto, Chemical oscillations, waves and turbulence, 1984.

Y. Kuramoto, International symposium on mathematical problems in mathematical physics, Lecture Notes Theor. Phys, vol.30, p.420, 1975.

M. A. Lohe, Quantum synchronization over quantum networks, J. Phys. A: Math. Theor, vol.43, p.465301, 2010.

M. A. Lohe, Non-abelian Kuramoto model and synchronization, J. Phys. A: Math. Theor, vol.42, pp.395101-395126, 2009.

R. Mirollo and S. H. Strogatz, The spectrum of the partially locked state for the Kuramoto model, J. Nonlinear Science, vol.17, pp.309-347, 2007.

R. Mirollo and S. H. Strogatz, The spectrum of the locked state for the Kuramoto model of coupled oscillators, Physica D, vol.205, pp.249-266, 2005.

R. Mirollo and S. H. Strogatz, Stability of incoherence in a population of coupled oscillators, J. Stat. Phys, vol.63, pp.613-635, 1991.

R. Olfati-saber, Swarms on Sphere: A Programmable Swarm with Synchronous Behaviors like Oscillator Networks, IEEE 45th Conference on Decision and Control (CDC, pp.5060-5066, 2006.

C. S. Peskin, Mathematical aspects of heart physiology, 1975.

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

S. H. Strogatz, From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D, vol.143, pp.1-20, 2000.

M. Verwoerd and O. Mason, On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph, SIAM J. Appl. Dyn. Syst, vol.8, pp.417-453, 2009.

M. Verwoerd and O. Mason, Global phase-locking in finite populations of phase-coupled oscillators, SIAM J. Appl. Dyn. Syst, vol.7, pp.134-160, 2008.

C. Villani, Topics on Optimal Transportation, 2003.

A. T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators, J. Theor. Biol, vol.16, pp.15-42, 1967.

A. T. Winfree, The geometry of biological time, 1980.

M. Xu, D. A. Tieri, E. C. Fine, J. K. Thompson, and M. J. Holland, Quantum synchronization of two ensembles of atoms, Phys. Rev. Lett, vol.113, p.154101, 2014.

B. Zhu, J. Schachenmayer, M. Xu, F. Herrera, J. G. Restrepo et al., Synchronization of interacting dipoles, New J. Phys, vol.17, p.83063, 2015.

F. G. Ecole-polytechnique, C. , P. Cedex, and F. E. , Korea (Republic of) and Korea Institute for Advanced Studies, School of Mathematics, vol.08826