-
3
-
-
0027519363
-
Coupled oscillators and biological synchronization
-
S.H. Strogatz, and I. Stewart Coupled oscillators and biological synchronization Sci. Am. 269 1993 101 109
-
(1993)
Sci. Am.
, vol.269
, pp. 101-109
-
-
Strogatz, S.H.1
Stewart, I.2
-
4
-
-
33746783940
-
Biology of sychronous flashing of fireflies
-
J. Buck, and E. Buck Biology of sychronous flashing of fireflies Nature 211 1966 562
-
(1966)
Nature
, vol.211
, pp. 562
-
-
Buck, J.1
Buck, E.2
-
5
-
-
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. Theoret. Biol. 16 1967 15 42
-
(1967)
J. Theoret. Biol.
, vol.16
, pp. 15-42
-
-
Winfree, A.T.1
-
8
-
-
19944385353
-
The Kuramoto model: A simple paradigm for synchronization phenomena
-
DOI 10.1103/RevModPhys.77.137
-
J.A. Acebron, L.L. Bonilla, C.J.P. Prez Vicente, F. Ritort, and R. Spigler The Kuramoto model: a simple paradigm for synchronization phenomena Rev. Modern Phys. 77 2005 137 185 (Pubitemid 41490657)
-
(2005)
Reviews of Modern Physics
, vol.77
, Issue.1
, pp. 137-185
-
-
Acebron, J.A.1
Bonilla, L.L.2
Vicente, C.J.P.3
Ritort, F.4
Spigler, R.5
-
9
-
-
0040183943
-
A shocking display of synchrony
-
N.J. Balmforth, and R. Sassi A shocking display of synchrony Physica D 143 2000 21 55
-
(2000)
Physica D
, vol.143
, pp. 21-55
-
-
Balmforth, N.J.1
Sassi, R.2
-
11
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
-
S.H. Strogatz From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Physica D 143 2000 1 20
-
(2000)
Physica D
, vol.143
, pp. 1-20
-
-
Strogatz, S.H.1
-
12
-
-
84867963225
-
The spectrum of the partially locked state for the kuramoto model
-
DOI 10.1007/s00332-006-0806-x
-
R.E. Mirollo, and S.H. Strogatz The spectrum of the partially locked state for the Kuramoto model of coupled oscillator J. Nonlinear Sci. 17 2007 309 347 (Pubitemid 47128297)
-
(2007)
Journal of Nonlinear Science
, vol.17
, Issue.4
, pp. 309-347
-
-
Mirollo, R.1
Strogatz, S.H.2
-
13
-
-
19944397131
-
The spectrum of the locked state for the Kuramoto model of coupled oscillators
-
DOI 10.1016/j.physd.2005.01.017, PII S0167278905000539
-
R.E. Mirollo, and S.H. Strogatz The spectrum of the locked state for the Kuramoto model of coupled oscillator Physica D 205 2005 249 266 (Pubitemid 40753192)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.205
, Issue.1-4
, pp. 249-266
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
14
-
-
0032633546
-
Synchronization of globally coupled phase oscillators: Singularities and scaling for general couplings
-
J.D. Crawford, and K.T.R. Davies Synchronization of globally coupled phase oscillators: singularities and scaling for general couplings Physica D 125 1999 1 46
-
(1999)
Physica D
, vol.125
, pp. 1-46
-
-
Crawford, J.D.1
Davies, K.T.R.2
-
15
-
-
0021876815
-
Synchronization in a pool of mutually coupled oscillators with random frequencies
-
G.B. Ermentrout Synchronization in a pool of mutually coupled oscillators with random frequencies J. Math. Biol. 22 1985 1 9 (Pubitemid 15057330)
-
(1985)
Journal of Mathematical Biology
, vol.22
, Issue.1
, pp. 1-9
-
-
Ermentrout, G.B.1
-
16
-
-
21144473858
-
Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
-
J.L. van Hemmen, and W.F. Wreszinski Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators J. Stat. Phys. 72 1993 145 166
-
(1993)
J. Stat. Phys.
, vol.72
, pp. 145-166
-
-
Van Hemmen, J.L.1
Wreszinski, W.F.2
-
17
-
-
8744297187
-
On the stability of the Kuramoto model of coupled nonlinear oscillators
-
Boston, Massachusetts
-
A. Jadbabaie, N. Motee, M. Barahona, On the stability of the Kuramoto model of coupled nonlinear oscillators, in: Proceedings of the American Control Conference, Boston, Massachusetts, 2004.
-
(2004)
Proceedings of the American Control Conference
-
-
Jadbabaie, A.1
Motee, N.2
Barahona, M.3
-
18
-
-
84867963225
-
The spectrum of the partially locked state for the kuramoto model
-
DOI 10.1007/s00332-006-0806-x
-
R.E. Mirollo, and S.H. Strogatz The spectrum of the partially locked state for the Kuramoto model of coupled oscillator J. Nonlinear Sci. 17 2007 309 347 (Pubitemid 47128297)
-
(2007)
Journal of Nonlinear Science
, vol.17
, Issue.4
, pp. 309-347
-
-
Mirollo, R.1
Strogatz, S.H.2
-
19
-
-
19944397131
-
The spectrum of the locked state for the Kuramoto model of coupled oscillators
-
DOI 10.1016/j.physd.2005.01.017, PII S0167278905000539
-
R.E. Mirollo, and S.H. Strogatz The spectrum of the locked state for the Kuramoto model of coupled oscillator Physica D 205 2005 249 266 (Pubitemid 40753192)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.205
, Issue.1-4
, pp. 249-266
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
20
-
-
1542499302
-
Stability of incoherence in a populations of coupled oscillators
-
R.E. Mirollo, and S.H. Strogatz Stability of incoherence in a populations of coupled oscillators J. Stat. Phys. 63 1991 613 635
-
(1991)
J. Stat. Phys.
, vol.63
, pp. 613-635
-
-
Mirollo, R.E.1
Strogatz, S.H.2
-
21
-
-
14644434992
-
Stability of phase locking and existence of frequency in networks of globally coupled oscillators
-
D. Aeyels, and J. Rogge Stability of phase locking and existence of frequency in networks of globally coupled oscillators Progr. Theoret. Phys. 2004 921 941
-
(2004)
Progr. Theoret. Phys.
, pp. 921-941
-
-
Aeyels, D.1
Rogge, J.2
-
22
-
-
0001063041
-
Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
-
L.L. Bonilla, J.C. Neu, and R. Spigler Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators J. Stat. Phys. 67 1992 313 330
-
(1992)
J. Stat. Phys.
, vol.67
, pp. 313-330
-
-
Bonilla, L.L.1
Neu, J.C.2
Spigler, R.3
-
23
-
-
34548504606
-
Partial entrainment in the finite Kuramoto-Sakaguchi model
-
DOI 10.1016/j.physd.2007.06.025, PII S0167278907002072
-
F. De Smet, and D. Aeyels Partial frequency in finite KuramotoSakaguchi model Physica D 2007 81 89 (Pubitemid 47374836)
-
(2007)
Physica D: Nonlinear Phenomena
, vol.234
, Issue.2
, pp. 81-89
-
-
De Smet, F.1
Aeyels, D.2
-
24
-
-
0001265176
-
Averaged equations for Josephson junction series arrays
-
K. Wiesenfeld, and J.W. Swift Averaged equations for Josephson junction series arrays Phys. Rev. E 51 1995 1020 1025
-
(1995)
Phys. Rev. e
, vol.51
, pp. 1020-1025
-
-
Wiesenfeld, K.1
Swift, J.W.2
-
25
-
-
0000478424
-
Constants of motion for superconducting Josephson arrays
-
S. Watanabe, and S.H. Strogatz Constants of motion for superconducting Josephson arrays Physica D 74 1994 197 253
-
(1994)
Physica D
, vol.74
, pp. 197-253
-
-
Watanabe, S.1
Strogatz, S.H.2
-
26
-
-
61349100317
-
On exponential synchronization of Kuramoto oscillators
-
N. Chopra, and M.W. Spong On exponential synchronization of Kuramoto oscillators IEEE Trans. Automat. Control 54 2009 353 357
-
(2009)
IEEE Trans. Automat. Control
, vol.54
, pp. 353-357
-
-
Chopra, N.1
Spong, M.W.2
-
27
-
-
77955422536
-
On the complete synchronization of the Kuramoto phase model
-
S.-Y. Ha, T. Ha, and J.-H. Kim On the complete synchronization of the Kuramoto phase model Physica D 239 2010 1692 1700
-
(2010)
Physica D
, vol.239
, pp. 1692-1700
-
-
Ha, S.-Y.1
Ha, T.2
Kim, J.-H.3
-
29
-
-
78649328720
-
Complete synchronization of Kuramoto oscillators with finite inertia
-
Y.-P. Choi, S.-Y. Ha, and S.-B. Yun Complete synchronization of Kuramoto oscillators with finite inertia Physica D 240 2011 32 44
-
(2011)
Physica D
, vol.240
, pp. 32-44
-
-
Choi, Y.-P.1
Ha, S.-Y.2
Yun, S.-B.3
-
30
-
-
80055017077
-
On the critical coupling for Kuramoto oscillators
-
F. Dorfler, and F. Bullo On the critical coupling for Kuramoto oscillators SIAM J. Appl. Dyn. 10 3 2011 1070 1099
-
(2011)
SIAM J. Appl. Dyn.
, vol.10
, Issue.3
, pp. 1070-1099
-
-
Dorfler, F.1
Bullo, F.2
-
32
-
-
34249831818
-
The dynamics of n weakly coupled identical oscillators
-
P. Ashwin, and J.W. Swift The dynamics of n weakly coupled identical oscillators J. Nonlinear Sci. 2 1992 69 108
-
(1992)
J. Nonlinear Sci.
, vol.2
, pp. 69-108
-
-
Ashwin, P.1
Swift, J.W.2
-
33
-
-
67349214431
-
Stability of an [ N 2 ] -dimensional invariant torus in the Kuramoto model at small coupling
-
H. Chiba, and D. Pazo Stability of an [ N 2 ] -dimensional invariant torus in the Kuramoto model at small coupling Physica D 238 2009 1068 1081
-
(2009)
Physica D
, vol.238
, pp. 1068-1081
-
-
Chiba, H.1
Pazo, D.2
-
34
-
-
84855292010
-
Center manifold reduction for a large population of globally coupled phase oscillator
-
H. Chiba, and I. Nishikawa Center manifold reduction for a large population of globally coupled phase oscillator Chaos 21 2011 043103
-
(2011)
Chaos
, vol.21
, pp. 043103
-
-
Chiba, H.1
Nishikawa, I.2
-
36
-
-
0025476228
-
Synthesis of phase-locking patterns in networks with cyclic group symmetries
-
D. Woodward Synthesis of phase-locking patterns in networks with cylic group symmetries SIAM. J. Appl. Math. 50 1990 1053 1072 (Pubitemid 20710969)
-
(1990)
SIAM Journal on Applied Mathematics
, vol.50
, Issue.4
, pp. 1053-1072
-
-
Woodward, D.E.1
|