-
1
-
-
19944385353
-
The Kuramoto model: A simple paradigm for synchronization phenomena
-
J.A. Acebron, L.L. Bonilla, C.J.P. Pfierez Vicente, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Mod. Phys., 77, 137-185, 2005.
-
(2005)
Rev. Mod. Phys.
, vol.77
, pp. 137-185
-
-
Acebron, J.A.1
Bonilla, L.L.2
Pfierez Vicente, C.J.P.3
Ritort, F.4
Spigler, R.5
-
2
-
-
33746783940
-
Biology of synchronous flashing of fireies
-
J. Buck and E. Buck, Biology of synchronous flashing of fireies, Nature, 211, 562, 1966.
-
(1966)
Nature
, vol.211
, pp. 562
-
-
Buck, J.1
Buck, E.2
-
3
-
-
0040183943
-
A shocking display of synchrony
-
N.J. Balmforth and R. Sassi, A shocking display of synchrony, Physica D, 143, 21-55, 2000.
-
(2000)
Physica D
, vol.143
, pp. 21-55
-
-
Balmforth, N.J.1
Sassi, R.2
-
4
-
-
78649328720
-
Complete synchronization of Kuramoto oscillators with finite inertia
-
Y. Choi, S.Y. Ha, and S.B. Yun, Complete synchronization of Kuramoto oscillators with finite inertia, Physica D, 240, 32-44, 2010.
-
(2010)
Physica D
, vol.240
, pp. 32-44
-
-
Choi, Y.1
Ha, S.Y.2
Yun, S.B.3
-
5
-
-
84862785795
-
Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
-
Y. Choi, S.Y. Ha, S.E. Jung, and Y. Kim, Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model, Physica D, 241, 735-754, 2012.
-
(2012)
Physica D
, vol.241
, pp. 735-754
-
-
Choi, Y.1
Ha, S.Y.2
Jung, S.E.3
Kim, Y.4
-
6
-
-
61349100317
-
On exponential synchronization of Kuramoto oscillators
-
N. Chopra and M.W. Spong, On exponential synchronization of Kuramoto oscillators, IEEE Trans. Automatic Control, 54, 353-357, 2009.
-
(2009)
IEEE Trans. Automatic Control
, vol.54
, pp. 353-357
-
-
Chopra, N.1
Spong, M.W.2
-
7
-
-
34548504606
-
Partial frequency in finite Kuramoto-Sakaguchi model
-
F. de Smet and D. Aeyels, Partial frequency in finite Kuramoto-Sakaguchi model, Physica D, 234, 81-89, 2007.
-
(2007)
Physica D
, vol.234
, pp. 81-89
-
-
de Smet, F.1
Aeyels, D.2
-
8
-
-
80055017077
-
On the critical coupling for Kuramoto oscillators
-
F. Dörer and F. Bullo, On the critical coupling for Kuramoto oscillators, SIAM J. Appl. Dyn., 10, 1070-1099, 2011.
-
(2011)
SIAM J. Appl. Dyn.
, vol.10
, pp. 1070-1099
-
-
Dörer, F.1
Bullo, F.2
-
9
-
-
77957809589
-
Synchronization and transient stability in power networks and non-uniform Kuramoto oscillator
-
Baltimore
-
F. Dörer and F. Bullo, Synchronization and transient stability in power networks and non-uniform Kuramoto oscillator, Amer. Cont. Conf., Baltimore, 930-937, 2010.
-
(2010)
Amer. Cont. Conf.
, pp. 930-937
-
-
Dörer, F.1
Bullo, F.2
-
10
-
-
0021876815
-
Synchronization in a pool of mutually coupled oscillators with random fre-quencies
-
G.B. Ermentrout, Synchronization in a pool of mutually coupled oscillators with random fre-quencies, J. Math. Biol., 22, 1-9, 1985.
-
(1985)
J. Math. Biol.
, vol.22
, pp. 1-9
-
-
Ermentrout, G.B.1
-
11
-
-
77955422536
-
On the complete synchronization for the globally coupled Ku-ramoto model
-
S.Y. Ha, T. Ha, and J.H. Kim, On the complete synchronization for the globally coupled Ku-ramoto model, Physica D, 239, 1692-1700, 2010.
-
(2010)
Physica D
, vol.239
, pp. 1692-1700
-
-
Ha, S.Y.1
Ha, T.2
Kim, J.H.3
-
12
-
-
85039672108
-
Fast and slow relaxations to bi-cluster configurations for the ensemble of Kuramoto oscillators
-
to appear
-
S.Y. Ha and M. Kang, Fast and slow relaxations to bi-cluster configurations for the ensemble of Kuramoto oscillators, Quarterly of Appl. Math., to appear.
-
Quarterly of Appl. Math.
-
-
Ha, S.Y.1
Kang, M.2
-
13
-
-
79952583203
-
Flocking and synchronization of particle models
-
S.Y. Ha, C. Lattanzio, B. Rubino, and M. Slemrod, Flocking and synchronization of particle models, Quarterly of Appl. Math., 69, 91-103, 2011.
-
(2011)
Quarterly of Appl. Math.
, vol.69
, pp. 91-103
-
-
Ha, S.Y.1
Lattanzio, C.2
Rubino, B.3
Slemrod, M.4
-
14
-
-
8744297187
-
On the stability of the Kuramoto model of cou-pled nonlinear oscillators
-
A. Jadbabaie, N. Motee, and M. Barahona, On the stability of the Kuramoto model of cou-pled nonlinear oscillators, in: Proceedings of the American Control Conference, Boston, Massachusetts, 2004.
-
(2004)
Proceedings of the American Control Conference, Boston, Massachusetts
-
-
Jadbabaie, A.1
Motee, N.2
Barahona, M.3
-
16
-
-
0000856704
-
International symposium on mathematical problems in mathematical physics
-
Y. Kuramoto, International symposium on mathematical problems in mathematical physics, Lecture Notes in Theoretical Physics, 30, 420, 1975.
-
(1975)
Lecture Notes in Theoretical Physics
, vol.30
, pp. 420
-
-
Kuramoto, Y.1
-
17
-
-
19944397131
-
The spectrum of the locked state for the Kuramoto model of coupled oscillator
-
R.E. Mirollo and S.H. Strogatz, The spectrum of the locked state for the Kuramoto model of coupled oscillator, Physica D, 205, 249-266, 2005.
-
(2005)
Physica D
, vol.205
, pp. 249-266
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
18
-
-
84867963225
-
The spectrum of the partially locked state for the Kuramoto model of coupled oscillator
-
R.E. Mirollo and S.H. Strogatz, The spectrum of the partially locked state for the Kuramoto model of coupled oscillator, J. Nonlin. Sci., 17, 309-347, 2007.
-
(2007)
J. Nonlin. Sci.
, vol.17
, pp. 309-347
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
20
-
-
0003594964
-
-
Cambridge University Press, Cambridge
-
A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlin-ear Sciences, Cambridge University Press, Cambridge, 2001.
-
(2001)
Synchronization: A Universal Concept in Nonlin-ear Sciences
-
-
Pikovsky, A.1
Rosenblum, M.2
Kurths, J.3
-
21
-
-
49549120638
-
Routes to synchrony between asymmetrically interacting oscillator ensembles
-
J.H. Sheeba, V.K. Chandrasekar, A. Stefanovska, and P.V.E. McClintock, Routes to synchrony between asymmetrically interacting oscillator ensembles, Phys. Review E., 78, 025201(R), 2008.
-
(2008)
Phys. Review E.
, vol.78
, Issue.R
, pp. 025201
-
-
Sheeba, J.H.1
Chandrasekar, V.K.2
Stefanovska, A.3
McClintock, P.V.E.4
-
22
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in popu-lations of coupled oscillators
-
S.H. Strogatz, From Kuramoto to Crawford: Exploring the onset of synchronization in popu-lations of coupled oscillators, Physica D, 143, 1, 2001.
-
(2001)
Physica D
, vol.143
, pp. 1
-
-
Strogatz, S.H.1
-
23
-
-
1542499302
-
Stability of incoherence in a population of coupled oscillators
-
S.H. Strogatz and R.E. Mirollo, Stability of incoherence in a population of coupled oscillators, J. Stat. Phys., 63, 613-635, 1991.
-
(1991)
J. Stat. Phys.
, vol.63
, pp. 613-635
-
-
Strogatz, S.H.1
Mirollo, R.E.2
-
24
-
-
4243765520
-
Coupled nonlinear oscillators below the syn-chronization threshold: Relaxation by generalized Landau damping
-
S.H. Strogatz, R.E. Mirollo, and P.C. Mattews, Coupled nonlinear oscillators below the syn-chronization threshold: Relaxation by generalized Landau damping, Phys. Rev. Lett., 68, 2730-2733, 1992.
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 2730-2733
-
-
Strogatz, S.H.1
Mirollo, R.E.2
Mattews, P.C.3
-
25
-
-
21144473858
-
Lyapunov function for the Kuramoto model of non-linearly coupled oscillators
-
J.L. van Hemmen and W.F. Wreszinski, Lyapunov function for the Kuramoto model of non-linearly coupled oscillators, J. Stat. Phys., 72, 145-166, 1993.
-
(1993)
J. Stat. Phys.
, vol.72
, pp. 145-166
-
-
van Hemmen, J.L.1
Wreszinski, W.F.2
-
26
-
-
57249105599
-
Global phase-locking in finite populations of phase-coupled oscil-lators
-
M. Verwoerd and O. Mason, Global phase-locking in finite populations of phase-coupled oscil-lators, SIAM J. Appl. Dyn., 7, 134-160, 2008.
-
(2008)
SIAM J. Appl. Dyn.
, vol.7
, pp. 134-160
-
-
Verwoerd, M.1
Mason, O.2
-
27
-
-
57249105599
-
On computing the critical coupling coeficient for the Kuramoto model on a complete bipartite graph
-
M. Verwoerd and O. Mason, On computing the critical coupling coeficient for the Kuramoto model on a complete bipartite graph, SIAM J. Appl. Dyn., 7, 134-160, 2008.
-
(2008)
SIAM J. Appl. Dyn.
, vol.7
, pp. 134-160
-
-
Verwoerd, M.1
Mason, O.2
-
28
-
-
0000478424
-
Constants of motion for superconducting Josephson arrays
-
S. Watanabe and S.H. Strogatz, Constants of motion for superconducting Josephson arrays, Physica D, 74, 197-253, 1994.
-
(1994)
Physica D
, vol.74
, pp. 197-253
-
-
Watanabe, S.1
Strogatz, S.H.2
-
30
-
-
0014108715
-
Biological rhythms and the behavior of populations of coupled oscillators
-
A.T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators, J. Theor. Biol., 16, 15-42, 1967.
-
(1967)
J. Theor. Biol.
, vol.16
, pp. 15-42
-
-
Winfree, A.T.1
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