-
1
-
-
19944385353
-
The Kuramoto model: A simple paradigm for synchronization phenomena
-
J. ACEBRÓN, L. BONILLA, C. PÉREZ VICENTE, F. RITORT, AND R. SPIGLER, The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Modern Phys., 77 (2005), pp. 137-185.
-
(2005)
Rev. Modern Phys
, vol.77
, pp. 137-185
-
-
ACEBRÓN, J.1
BONILLA, L.2
PÉREZ VICENTE, C.3
RITORT, F.4
SPIGLER, R.5
-
2
-
-
27844612557
-
Come together, right now: Synchronization of rhythms in a mammalian circadian clock
-
S. J. ATON AND E. D. HERZOG, Come together, right now: Synchronization of rhythms in a mammalian circadian clock, Neuron, 48 (2005), pp. 531-534.
-
(2005)
Neuron
, vol.48
, pp. 531-534
-
-
ATON, S.J.1
HERZOG, E.D.2
-
3
-
-
0001480451
-
Huygen's clocks
-
M. BENNETT, M. SCHATZ, H. ROCKWOOD, AND K. WIESENFIELD, Huygen's clocks, Proc. R. Soc. Lond. A, 458 (2002), pp. 563-579.
-
(2002)
Proc. R. Soc. Lond. A
, vol.458
, pp. 563-579
-
-
BENNETT, M.1
SCHATZ, M.2
ROCKWOOD, H.3
WIESENFIELD, K.4
-
4
-
-
12344285644
-
-
EDS, Springer, New York
-
A. BEUTER, L. GLASS, M. C. MACKEY, AND M. S. TITCOMBE, EDS., Nonlinear Dynamics in Physiology and Medicine, Springer, New York, 2003.
-
(2003)
Nonlinear Dynamics in Physiology and Medicine
-
-
BEUTER, A.1
GLASS, L.2
MACKEY, M.C.3
TITCOMBE, M.S.4
-
6
-
-
34548504606
-
Partial entrainment in the finite Kuramoto-Sakaguchi model
-
F. DE SMET AND D. AEYELS, Partial entrainment in the finite Kuramoto-Sakaguchi model, Phys. D, 234 (2007), pp. 81-89.
-
(2007)
Phys. D
, vol.234
, pp. 81-89
-
-
DE SMET, F.1
AEYELS, D.2
-
7
-
-
0003677229
-
-
Springer-Verlag, Berlin
-
R. DIESTEL, Graph Theory, Springer-Verlag, Berlin, 2000.
-
(2000)
Graph Theory
-
-
DIESTEL, R.1
-
8
-
-
0037092928
-
Human sexual contact network as a bipartite graph
-
G. ERGUN, Human sexual contact network as a bipartite graph, Phys. A, 308 (2002), pp. 483-488.
-
(2002)
Phys. A
, vol.308
, pp. 483-488
-
-
ERGUN, G.1
-
9
-
-
2442686815
-
Modelling disease outbreaks in realistic urban social networks
-
S. EUBANK, H. GUCLU, V. S. KUMAR, M. V. MARATHE, A. SRINIVASAN, Z. TOROCZKAI, AND N. WANG, Modelling disease outbreaks in realistic urban social networks, Nature, 429 (2004), pp. 180-184.
-
(2004)
Nature
, vol.429
, pp. 180-184
-
-
EUBANK, S.1
GUCLU, H.2
KUMAR, V.S.3
MARATHE, M.V.4
SRINIVASAN, A.5
TOROCZKAI, Z.6
WANG, N.7
-
10
-
-
0035826148
-
Synchronization and rhythmic processes in physiology
-
L. GLASS, Synchronization and rhythmic processes in physiology, Nature Rev., 410 (2001), pp. 277-284.
-
(2001)
Nature Rev
, vol.410
, pp. 277-284
-
-
GLASS, L.1
-
12
-
-
33744777430
-
Nonlinear dynamics of networks: The groupoid formalism
-
M. GOLUBITSKY AND I. STEWART, Nonlinear dynamics of networks: The groupoid formalism, Bull. Amer. Math. Soc., 43 (2006), pp. 305-364.
-
(2006)
Bull. Amer. Math. Soc
, vol.43
, pp. 305-364
-
-
GOLUBITSKY, M.1
STEWART, I.2
-
13
-
-
34250833203
-
Pathological synchronization in Parkinson's disease: Networks, models and treatments
-
C. HAMMOND, H. BERGMAN, AND P. BROWN, Pathological synchronization in Parkinson's disease: Networks, models and treatments, Trends in Neurosci., 30 (2007), pp. 357-364.
-
(2007)
Trends in Neurosci
, vol.30
, pp. 357-364
-
-
HAMMOND, C.1
BERGMAN, H.2
BROWN, P.3
-
14
-
-
38449098765
-
Graphs in molecular biology
-
W. HUBER, V. CAREY, L. LONG, S. FALCON, AND R. GENTLEMAN, Graphs in molecular biology, BMC Bioinformatics, 8 (Suppl. 6) (2007), pp. 1-14.
-
(2007)
BMC Bioinformatics
, vol.8
, Issue.SUPPL. 6
, pp. 1-14
-
-
HUBER, W.1
CAREY, V.2
LONG, L.3
FALCON, S.4
GENTLEMAN, R.5
-
15
-
-
0038548185
-
Coordination of groups of mobile autonomous agents using nearest neighbor rules
-
A. JADBABAIE, J. LIN, AND A. S. MORSE, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automat. Control, 48 (2003), pp. 988-1001.
-
(2003)
IEEE Trans. Automat. Control
, vol.48
, pp. 988-1001
-
-
JADBABAIE, A.1
LIN, J.2
MORSE, A.S.3
-
16
-
-
8744297187
-
On the stability of the Kuramoto model of coupled nonlinear oscillators
-
Boston, IEEE Press, Piscataway, NJ, pp
-
A. JADBABAIE, N. MOTEE, AND M. BARAHONA, On the stability of the Kuramoto model of coupled nonlinear oscillators, in Proceedings of the IEEE American Control Conference, Boston, 2004, IEEE Press, Piscataway, NJ, pp. 4296-4301.
-
(2004)
Proceedings of the IEEE American Control Conference
, pp. 4296-4301
-
-
JADBABAIE, A.1
MOTEE, N.2
BARAHONA, M.3
-
17
-
-
63049100665
-
-
Y. KURAMOTO, Self-entrainment of a population of coupled nonlinear oscillators, in International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Phys. 39, H. Araki, ed., Springer, New York, 1975, pp. 420-422.
-
Y. KURAMOTO, Self-entrainment of a population of coupled nonlinear oscillators, in International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Phys. 39, H. Araki, ed., Springer, New York, 1975, pp. 420-422.
-
-
-
-
19
-
-
63049128198
-
-
Y. MAISTR.ENKO, O. POPOVÝCH, AND P. TASS, Desynchronization and Chaos in the Kuramoto Model, Lecture Notes in Phys. 671, Springer, New York, 2005.
-
Y. MAISTR.ENKO, O. POPOVÝCH, AND P. TASS, Desynchronization and Chaos in the Kuramoto Model, Lecture Notes in Phys. 671, Springer, New York, 2005.
-
-
-
-
20
-
-
19544377328
-
-
Phys. Rev. Lett, 93 , paper 084102
-
Y. MAISTRENKO, V. POPOVÝCH, O. BURYLKO, AND P. TASS, Mechanism of desynchronization in the finite-dimensional Kuramoto model, Phys. Rev. Lett., 93 (2004), paper 084102.
-
(2004)
Mechanism of desynchronization in the finite-dimensional Kuramoto model
-
-
MAISTRENKO, Y.1
POPOVÝCH, V.2
BURYLKO, O.3
TASS, P.4
-
21
-
-
32144460314
-
Chaotic attractor in the Kuramoto model
-
Y. MAISTRENKO, V. POPOVYCH, AND P. TASS, Chaotic attractor in the Kuramoto model, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 15 (2005), pp. 3457-3466.
-
(2005)
Internat. J. Bifur. Chaos Appl. Sci. Engrg
, vol.15
, pp. 3457-3466
-
-
MAISTRENKO, Y.1
POPOVYCH, V.2
TASS, P.3
-
22
-
-
33947324206
-
Synchronization of neural activity across cortical areas correlates with conscious perception
-
L. MELLONI, C. MOLINA, M. PENA, D. TORRES, W. SINGER, AND E. RODRIGUEZ, Synchronization of neural activity across cortical areas correlates with conscious perception, J. Neurosci., 27 (2007), pp. 2858-2865.
-
(2007)
J. Neurosci
, vol.27
, pp. 2858-2865
-
-
MELLONI, L.1
MOLINA, C.2
PENA, M.3
TORRES, D.4
SINGER, W.5
RODRIGUEZ, E.6
-
23
-
-
0023204733
-
Mechanisms of sinoatrial pacemaker synchronization: A new hypothesis
-
D. C. MICHAELS, E. P. MATYAS, AND J. JALIFE, Mechanisms of sinoatrial pacemaker synchronization: A new hypothesis, Circ. Res., 61 (1987), pp. 704-714.
-
(1987)
Circ. Res
, vol.61
, pp. 704-714
-
-
MICHAELS, D.C.1
MATYAS, E.P.2
JALIFE, J.3
-
24
-
-
19944397131
-
The spectrum of the locked state for the Kuramoto model of coupled oscillators
-
R. MIROLLO AND S. STROGATZ, The spectrum of the locked state for the Kuramoto model of coupled oscillators, Phys. D, 205 (2005), pp. 249-266.
-
(2005)
Phys. D
, vol.205
, pp. 249-266
-
-
MIROLLO, R.1
STROGATZ, S.2
-
25
-
-
84867963225
-
The spectrum of the partially locked state for the Kuramoto model
-
R. MIROLLO AND S. STROGATZ, The spectrum of the partially locked state for the Kuramoto model, J. Nonlinear Sci., 7 (2007), pp. 309-347.
-
(2007)
J. Nonlinear Sci
, vol.7
, pp. 309-347
-
-
MIROLLO, R.1
STROGATZ, S.2
-
27
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
R. OLFATI-SABER AND R. M. MURRAY, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49 (2004), pp. 1520-1533.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 1520-1533
-
-
OLFATI-SABER, R.1
MURRAY, R.M.2
-
28
-
-
35548997713
-
Synchronization in Oscillatory Networks
-
Springer-Verlag, New York
-
G. OSIPOV, J. KURTHS, AND C. ZHOU, Synchronization in Oscillatory Networks, Springer Ser. Synergetics, Springer-Verlag, New York, 2007.
-
(2007)
Springer Ser. Synergetics
-
-
OSIPOV, G.1
KURTHS, J.2
ZHOU, C.3
-
29
-
-
34547823411
-
Oscillator models and collective motion: Spatial patterns in the dynamics of engineered and biological networks
-
D. PALEY, N. E. LEONARD, R. SEPULCHRE, D. GRÜNBAUM, AND J. K. PARRISH, Oscillator models and collective motion: Spatial patterns in the dynamics of engineered and biological networks, IEEE Control Systems Magazine, 27 (2007), pp. 89-105.
-
(2007)
IEEE Control Systems Magazine
, vol.27
, pp. 89-105
-
-
PALEY, D.1
LEONARD, N.E.2
SEPULCHRE, R.3
GRÜNBAUM, D.4
PARRISH, J.K.5
-
30
-
-
0003594964
-
-
Cambridge University Press, London
-
A. PIKOVSKY, M. ROSENBLUM, AND J. KURTHS, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge University Press, London, 2003.
-
(2003)
Synchronization: A Universal Concept in Nonlinear Sciences
-
-
PIKOVSKY, A.1
ROSENBLUM, M.2
KURTHS, J.3
-
31
-
-
27944465017
-
-
Phys. Rev. E, 71 , paper 065201
-
V. POPOVÝCH, Y. MAISTRENKO, AND P. TASS, Phase chaos in coupled oscillators, Phys. Rev. E, 71 (2005), paper 065201.
-
(2005)
Phase chaos in coupled oscillators
-
-
POPOVÝCH, V.1
MAISTRENKO, Y.2
TASS, P.3
-
32
-
-
41349097039
-
-
Phys. Rev. E, 71 , paper 036151
-
J. RESTREPO, E. OTT, AND B. HUNT, Onset of synchronization in large networks of coupled oscillators, Phys. Rev. E, 71 (2005), paper 036151.
-
(2005)
Onset of synchronization in large networks of coupled oscillators
-
-
RESTREPO, J.1
OTT, E.2
HUNT, B.3
-
33
-
-
33745624835
-
-
Phys. Rev. Lett, 96 , paper 254103
-
J. G. RESTREPO, E. OTT, AND B. R. HUNT, Emergence of coherence in complex networks of heterogeneous dynamical systems, Phys. Rev. Lett., 96 (2006), paper 254103.
-
(2006)
Emergence of coherence in complex networks of heterogeneous dynamical systems
-
-
RESTREPO, J.G.1
OTT, E.2
HUNT, B.R.3
-
34
-
-
33745149733
-
-
Chaos, paper 015107
-
J. G. RESTREPO, E. OTT, AND B. R. HUNT, Synchronization in large directed networks of coupled phase oscillators, Chaos, 16 (2006), paper 015107.
-
(2006)
Synchronization in large directed networks of coupled phase oscillators
, pp. 16
-
-
RESTREPO, J.G.1
OTT, E.2
HUNT, B.R.3
-
35
-
-
14644434992
-
Existence of partial entrainment and stability of phase locking behavior of coupled oscillators
-
J. ROGGE AND D. AEYELS, Existence of partial entrainment and stability of phase locking behavior of coupled oscillators, Progr. Theoret. Phys., 112 (2004), pp. 921-942.
-
(2004)
Progr. Theoret. Phys
, vol.112
, pp. 921-942
-
-
ROGGE, J.1
AEYELS, D.2
-
36
-
-
9944234406
-
Stability of phase locking in a ring of unidirectionally coupled oscillators
-
J. ROGGE AND D. AEYELS, Stability of phase locking in a ring of unidirectionally coupled oscillators, J. Phys. A, 37 (2004), pp. 11135-11148.
-
(2004)
J. Phys. A
, vol.37
, pp. 11135-11148
-
-
ROGGE, J.1
AEYELS, D.2
-
37
-
-
33947263146
-
-
L. SCAR.DOVI, A. SARLETTE, AND R. SEPULCHRE, Synchronization and balancing on the n-torus, Systems Control Lett., 56 (2007), pp. 335-341.
-
L. SCAR.DOVI, A. SARLETTE, AND R. SEPULCHRE, Synchronization and balancing on the n-torus, Systems Control Lett., 56 (2007), pp. 335-341.
-
-
-
-
38
-
-
85045532958
-
-
R. SEPULCHRE, Oscillators as systems and synchrony as a design principle, in Current Trends in Nonlinear Systems and Control, Lecture Notes in Control and Inform. Sci., L. Menini, L. Zacearian, and C. T. Abdallah, eds., Birkhäuser Boston, Cambridge, MA, 2006, pp. 123-142.
-
R. SEPULCHRE, Oscillators as systems and synchrony as a design principle, in Current Trends in Nonlinear Systems and Control, Lecture Notes in Control and Inform. Sci., L. Menini, L. Zacearian, and C. T. Abdallah, eds., Birkhäuser Boston, Cambridge, MA, 2006, pp. 123-142.
-
-
-
-
39
-
-
33947507473
-
Group coordination and cooperative control of steered particles in the plane
-
Group Coordination and Cooperative Control, Sci, K. Y. Pettersen, J. T. Gravdahl, and H. Nijmeijer, eds, Springer-Verlag, London
-
R. SEPULCHRE, D. PALEY, AND N. E. LEONARD, Group coordination and cooperative control of steered particles in the plane, in Group Coordination and Cooperative Control, Lecture Notes in Control and Inform. Sci., K. Y. Pettersen, J. T. Gravdahl, and H. Nijmeijer, eds., Springer-Verlag, London, 2006, pp. 217-232.
-
(2006)
Lecture Notes in Control and Inform
, pp. 217-232
-
-
SEPULCHRE, R.1
PALEY, D.2
LEONARD, N.E.3
-
40
-
-
34249023580
-
Stabilization of planar collective motion with all-to-all communication
-
R. SEPULCHRE, D. PALEY, AND N. E. LEONARD, Stabilization of planar collective motion with all-to-all communication, IEEE Trans. Automat. Control, 52 (2007), pp. 811-824.
-
(2007)
IEEE Trans. Automat. Control
, vol.52
, pp. 811-824
-
-
SEPULCHRE, R.1
PALEY, D.2
LEONARD, N.E.3
-
41
-
-
42649110982
-
Stabilization of planar collective motion with limited communication
-
R. SEPULCHRE, D. PALEY, AND N. E. LEONARD, Stabilization of planar collective motion with limited communication, IEEE Trans. Automat. Control, 53 (2008), pp. 706-719.
-
(2008)
IEEE Trans. Automat. Control
, vol.53
, pp. 706-719
-
-
SEPULCHRE, R.1
PALEY, D.2
LEONARD, N.E.3
-
42
-
-
47149118340
-
Cucker-Smale flocking under hierarchical leadership
-
J. SHEN, Cucker-Smale flocking under hierarchical leadership, SIAM J. Appl. Math., 68 (2007), pp. 694-719.
-
(2007)
SIAM J. Appl. Math
, vol.68
, pp. 694-719
-
-
SHEN, J.1
-
43
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
-
S. STROGATZ, From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators, Phys. D, 143 (2000), pp. 1-20.
-
(2000)
Phys. D
, vol.143
, pp. 1-20
-
-
STROGATZ, S.1
-
44
-
-
1542499302
-
Stability of incoherence in a population of coupled oscillators
-
S. STROGATZ AND R. MIROLLO, Stability of incoherence in a population of coupled oscillators, J. Statist. Phys., 63 (1991), pp. 613-635.
-
(1991)
J. Statist. Phys
, vol.63
, pp. 613-635
-
-
STROGATZ, S.1
MIROLLO, R.2
-
45
-
-
0036689877
-
Desynchronization of brain rhythms with soft phase- resetting techniques
-
P.A. TASS, Desynchronization of brain rhythms with soft phase- resetting techniques, Biol. Cybernet., 87 (2002), pp. 102-115.
-
(2002)
Biol. Cybernet
, vol.87
, pp. 102-115
-
-
TASS, P.A.1
-
46
-
-
0141923468
-
A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
-
P. A. TASS, A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations, Biol. Cybernet., 89 (2003), pp. 81-88.
-
(2003)
Biol. Cybernet
, vol.89
, pp. 81-88
-
-
TASS, P.A.1
-
47
-
-
34250367538
-
A molecular model for intercellular synchronization in the mammalian arcadian clock
-
T. TO, M. HENSON, E. HERZOG, AND F. DOYLE, A molecular model for intercellular synchronization in the mammalian arcadian clock, Biophys. J., 92 (2007), pp. 3792-3803.
-
(2007)
Biophys. J
, vol.92
, pp. 3792-3803
-
-
TO, T.1
HENSON, M.2
HERZOG, E.3
DOYLE, F.4
-
48
-
-
0035318822
-
The brainweb: Phase synchronization and large-scale integration
-
F. VARELA, J.-P. LACHAUX, E. RODRIGUEZ, AND J. MARTINERIE, The brainweb: Phase synchronization and large-scale integration, Nature Rev. Neurosci., 2 (2001), pp. 229-239.
-
(2001)
Nature Rev. Neurosci
, vol.2
, pp. 229-239
-
-
VARELA, F.1
LACHAUX, J.-P.2
RODRIGUEZ, E.3
MARTINERIE, J.4
-
49
-
-
57249105599
-
Global phase-locking in finite populations of phase-coupled oscillators
-
M. VERWOERD AND O. MASON, Global phase-locking in finite populations of phase-coupled oscillators, SIAM J. Appl. Dyn. Syst., 7 (2008), pp. 134-160."
-
(2008)
SIAM J. Appl. Dyn. Syst
, vol.7
, pp. 134-160
-
-
VERWOERD, M.1
MASON, O.2
-
50
-
-
0001006240
-
Synchronization transitions in a disordered Josephson series array
-
K. WIESENFELD, P. COLET, AND S. H. STROGATZ, Synchronization transitions in a disordered Josephson series array, Phys. Rev. Lett., 76 (1996), pp. 404-407.
-
(1996)
Phys. Rev. Lett
, vol.76
, pp. 404-407
-
-
WIESENFELD, K.1
COLET, P.2
STROGATZ, S.H.3
-
51
-
-
0001247744
-
Frequency locking in Josephson arrays: Connection with the Kuramoto model
-
K. WIESENFELD, P. COLET, AND S. H. STROGATZ, Frequency locking in Josephson arrays: Connection with the Kuramoto model, Phys. Rev. E, 57 (1998), pp. 1563-1569.
-
(1998)
Phys. Rev. E
, vol.57
, pp. 1563-1569
-
-
WIESENFELD, K.1
COLET, P.2
STROGATZ, S.H.3
-
52
-
-
0345306748
-
Synchronization of cellular clocks in the suprachiasmatic nucleus
-
S. YAMAGUCHI, H. ISEJIMA, T. MATSUO, R. OKURA, K. YAGITA, M. KOBAYASHI, AND H. OKAMURA, Synchronization of cellular clocks in the suprachiasmatic nucleus, Science, 302 (2003), pp. 1408-1412.
-
(2003)
Science
, vol.302
, pp. 1408-1412
-
-
YAMAGUCHI, S.1
ISEJIMA, H.2
MATSUO, T.3
OKURA, R.4
YAGITA, K.5
KOBAYASHI, M.6
OKAMURA, H.7
|