The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Mod. Phys, vol.77, pp.137-185, 2005. ,
Gradient Flows in Metric Spces and the Space of Probability Measures, 2008. ,
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
Biology of synchronous flashing of fireflies, Nature, vol.211, 1966. ,
Practical quantum synchronization for the SchrodingerLohe system, J. Physics A, vol.49, p.205203, 2016. ,
Complete entrainment of Lohe oscillators under attractive and repulsive couplings, SIAM. J. App. Dyn, vol.13, pp.1417-1441, 2013. ,
DOI : 10.1137/140961699
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model, Physica D, pp.735-754, 2012. ,
On exponential synchronization of Kuramoto oscillators, IEEE Trans. Automatic Control, vol.54, pp.353-357, 2009. ,
DOI : 10.1109/tac.2008.2007884
, Synchronization and Stability for Quantum Kuramoto
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
Synchronization in complex networks of phase oscillators: A survey, Automatica, vol.50, pp.1539-1564, 2014. ,
Exploring synchronization in complex oscillator networks, IEEE 51st Annual Conference on Decision and Control (CDC), pp.7157-7170, 2012. ,
On the critical coupling for Kuramoto oscillators, SIAM. J. Appl. Dyn. Syst, vol.10, pp.1070-1099, 2011. ,
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
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
Emergence of phase-locked states for the Kuramoto model in a large coupling regime, Commun. Math. Sci, vol.14, pp.1073-1091, 2016. ,
On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds ,
Emergent dynamcis of a generalized Lohe model on some class of Lie groups, J. Stat. Phys, vol.168, pp.171-207, 2017. ,
Collective synchronization of classical and quantum oscillators, EMS Surv. Math. Sci, vol.3, pp.209-267, 2016. ,
DOI : 10.4171/emss/17
On the emergence and orbital stability of phase-locked states for the Lohe model, J. Stat. Phys, vol.163, pp.411-439, 2016. ,
Spin correlations as a probe of quantum synchronization in trapped-ion phonon lasers, Phys. Re. A, vol.91, p.61401, 2015. ,
Quantum stochastic synchronization, Phys. Rev. Lett, vol.97, p.210601, 2006. ,
Quantum correlations and mutual synchronization, Phys. Rev. A, vol.85, p.52101, 2012. ,
The quantum internet, Nature, vol.453, pp.1023-1030, 2008. ,
Chemical oscillations, waves and turbulence, 1984. ,
International symposium on mathematical problems in mathematical physics, Lecture Notes Theor. Phys, vol.30, p.420, 1975. ,
Quantum synchronization over quantum networks, J. Phys. A: Math. Theor, vol.43, p.465301, 2010. ,
Non-abelian Kuramoto model and synchronization, J. Phys. A: Math. Theor, vol.42, pp.395101-395126, 2009. ,
The spectrum of the partially locked state for the Kuramoto model, J. Nonlinear Science, vol.17, pp.309-347, 2007. ,
The spectrum of the locked state for the Kuramoto model of coupled oscillators, Physica D, vol.205, pp.249-266, 2005. ,
Stability of incoherence in a population of coupled oscillators, J. Stat. Phys, vol.63, pp.613-635, 1991. ,
Swarms on Sphere: A Programmable Swarm with Synchronous Behaviors like Oscillator Networks, IEEE 45th Conference on Decision and Control (CDC, pp.5060-5066, 2006. ,
Mathematical aspects of heart physiology, 1975. ,
Synchronization: A universal concept in nonlinear sciences, 2001. ,
From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators, Physica D, vol.143, pp.1-20, 2000. ,
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. ,
Global phase-locking in finite populations of phase-coupled oscillators, SIAM J. Appl. Dyn. Syst, vol.7, pp.134-160, 2008. ,
Topics on Optimal Transportation, 2003. ,
Biological rhythms and the behavior of populations of coupled oscillators, J. Theor. Biol, vol.16, pp.15-42, 1967. ,
The geometry of biological time, 1980. ,
Quantum synchronization of two ensembles of atoms, Phys. Rev. Lett, vol.113, p.154101, 2014. ,
Synchronization of interacting dipoles, New J. Phys, vol.17, p.83063, 2015. ,
Korea (Republic of) and Korea Institute for Advanced Studies, School of Mathematics, vol.08826 ,