-
1
-
-
31344474880
-
-
PRPLCM 0370-1573
-
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, Phys. Rep. 424, 175 (2006). PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009
-
(2006)
Phys. Rep.
, vol.424
, pp. 175
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.-U.5
-
3
-
-
77951126500
-
-
NATUAS 0028-0836
-
S.V. Buldyrev, R. Parshani, G. Paul, H.E. Stanley, and S. Havlin, Nature (London) 464, 1025 (2010). NATUAS 0028-0836 10.1038/nature08932
-
(2010)
Nature (London)
, vol.464
, pp. 1025
-
-
Buldyrev, S.V.1
Parshani, R.2
Paul, G.3
Stanley, H.E.4
Havlin, S.5
-
4
-
-
0030753499
-
-
SCIEAS 0036-8075
-
B.A. Huberman and R.M. Lukose, Science 277, 535 (1997). SCIEAS 0036-8075 10.1126/science.277.5325.535
-
(1997)
Science
, vol.277
, pp. 535
-
-
Huberman, B.A.1
Lukose, R.M.2
-
5
-
-
28844500725
-
-
PLEEE8 1539-3755
-
D. Pazó, Phys. Rev. E 72, 046211 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.72.046211
-
(2005)
Phys. Rev. e
, vol.72
, pp. 046211
-
-
Pazó, D.1
-
6
-
-
79952903188
-
-
PRLTAO 0031-9007
-
J. Gómez-Gardeñes, S. Gómez, A. Arenas, and Y. Moreno, Phys. Rev. Lett. 106, 128701 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.128701
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 128701
-
-
Gómez-Gardeñes, J.1
Gómez, S.2
Arenas, A.3
Moreno, Y.4
-
7
-
-
84860153563
-
-
PRLTAO 0031-9007
-
I. Leyva, R. Sevilla-Escoboza, J.M. Buldú, I. Sendiña-Nadal, J. Gómez-Gardeñes, A. Arenas, Y. Moreno, S. Gómez, R. Jaimes-Reategui, and S. Boccaletti, Phys. Rev. Lett. 108, 168702 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.168702
-
(2012)
Phys. Rev. Lett.
, vol.108
, pp. 168702
-
-
Leyva, I.1
Sevilla-Escoboza, R.2
Buldú, J.M.3
Sendiña-Nadal, I.4
Gómez-Gardeñes, J.5
Arenas, A.6
Moreno, Y.7
Gómez, S.8
Jaimes-Reategui, R.9
Boccaletti, S.10
-
10
-
-
84875324919
-
-
PLEEE8 1539-3755
-
B.C. Coutinho, A.V. Goltsev, S.N. Dorogovtsev, and J.F.F. Mendes, Phys. Rev. E 87, 032106 (2013); PLEEE8 1539-3755 10.1103/PhysRevE.87.032106
-
(2013)
Phys. Rev. e
, vol.87
, pp. 032106
-
-
Coutinho, B.C.1
Goltsev, A.V.2
Dorogovtsev, S.N.3
Mendes, J.F.F.4
-
11
-
-
84874186279
-
-
EULEEJ 0295-5075
-
W. Liu, Y. Wu, J. Xiao, and M. Zhan, Europhys. Lett. 101, 38002 (2013); EULEEJ 0295-5075 10.1209/0295-5075/101/38002
-
(2013)
Europhys. Lett.
, vol.101
, pp. 38002
-
-
Liu, W.1
Wu, Y.2
Xiao, J.3
Zhan, M.4
-
12
-
-
84878421224
-
-
PRLTAO 0031-9007
-
P. Ji, T.K.D.M. Peron, P.J. Menck, F.A. Rodrigues, and J. Kurths, Phys. Rev. Lett. 110, 218701 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.218701
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 218701
-
-
Ji, P.1
Peron, T.K.D.M.2
Menck, P.J.3
Rodrigues, F.A.4
Kurths, J.5
-
13
-
-
84886058455
-
-
PLEEE8 1539-3755
-
I. Leyva, I. Sendiña-Nadal, J.A. Almendral, A. Navas, S. Olmi, and S. Boccaletti, Phys. Rev. E 88, 042808 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.042808
-
(2013)
Phys. Rev. e
, vol.88
, pp. 042808
-
-
Leyva, I.1
Sendiña-Nadal, I.2
Almendral, J.A.3
Navas, A.4
Olmi, S.5
Boccaletti, S.6
-
14
-
-
84880606606
-
-
PLEEE8 1539-3755
-
X. Zhang, X. Hu, J. Kurths, and Z. Liu, Phys. Rev. E 88, 010802(R) (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.010802
-
(2013)
Phys. Rev. e
, vol.88
, pp. 010802R
-
-
Zhang, X.1
Hu, X.2
Kurths, J.3
Liu, Z.4
-
15
-
-
84886001795
-
-
SRCEC3 2045-2322
-
I. Leyva, A. Navas, I. Sendiña-Nadal, J.A. Almendral, J.M. Buldú, M. Zanin, D. Papo, and S. Boccaletti, Sci. Rep. 3, 1281 (2013). SRCEC3 2045-2322 10.1038/srep01281
-
(2013)
Sci. Rep.
, vol.3
, pp. 1281
-
-
Leyva, I.1
Navas, A.2
Sendiña-Nadal, I.3
Almendral, J.A.4
Buldú, J.M.5
Zanin, M.6
Papo, D.7
Boccaletti, S.8
-
16
-
-
84876731865
-
-
PLEEE8 1539-3755
-
P. Li, K. Zhang, X. Xu, J. Zhang, and M. Small, Phys. Rev. E 87, 042803 (2013); PLEEE8 1539-3755 10.1103/PhysRevE.87.042803
-
(2013)
Phys. Rev. e
, vol.87
, pp. 042803
-
-
Li, P.1
Zhang, K.2
Xu, X.3
Zhang, J.4
Small, M.5
-
17
-
-
84887269743
-
-
PLEEE8 1539-3755
-
L. Zhu, L. Tian, and D. Shi, Phys. Rev. E 88, 042921 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.042921
-
(2013)
Phys. Rev. e
, vol.88
, pp. 042921
-
-
Zhu, L.1
Tian, L.2
Shi, D.3
-
18
-
-
84898405424
-
-
SRCEC3 2045-2322
-
X. Zhang, Y. Zou, S. Boccaletti, and Z. Liu, Sci. Rep. 4, 5200 (2014). SRCEC3 2045-2322
-
(2014)
Sci. Rep.
, vol.4
, pp. 5200
-
-
Zhang, X.1
Zou, Y.2
Boccaletti, S.3
Liu, Z.4
-
19
-
-
84884574462
-
-
EULEEJ 0295-5075
-
G. Su, Z. Ruan, S. Guan, and Z. Liu, Europhys. Lett. 103, 48004 (2013) EULEEJ 0295-5075 10.1209/0295-5075/103/48004
-
(2013)
Europhys. Lett.
, vol.103
, pp. 48004
-
-
Su, G.1
Ruan, Z.2
Guan, S.3
Liu, Z.4
-
20
-
-
84865508476
-
-
This paper shows an example of a power grid where the coupling is controlled by a local variable. It is shown that the power grid can be simplified into a nonuniform Kuramoto model by (Equation presented), where (Equation presented) and (Equation presented) represent the local controller. SJCODC 0363-0129
-
F. Dorfler and F. Bullo, SIAM J. Control Optim. 50, 1616 (2012). This paper shows an example of a power grid where the coupling is controlled by a local variable. It is shown that the power grid can be simplified into a nonuniform Kuramoto model by (Equation presented), where (Equation presented) and (Equation presented) represent the local controller. SJCODC 0363-0129 10.1137/110851584
-
(2012)
SIAM J. Control Optim.
, vol.50
, pp. 1616
-
-
Dorfler, F.1
Bullo, F.2
-
21
-
-
84921475995
-
-
The stationary value of R is calculated as a longtime average (over a time (Equation presented) time steps) of the order parameter, after a sufficiently large transient time ((Equation presented) time steps) has elapsed.
-
The stationary value of R is calculated as a longtime average (over a time (Equation presented) time steps) of the order parameter, after a sufficiently large transient time ((Equation presented) time steps) has elapsed.
-
-
-
-
22
-
-
84909980102
-
The structure and dynamics of multilayer networks
-
S. Boccaletti, G. Bianconi, R. Criado, C.I. del Genio, J. Gómez-Gardeñes, M. Romance, I. Sendiña-Nadal, Z. Wang, and M. Zanin, The structure and dynamics of multilayer networks, Phys. Rep. 544, 1 (2014).
-
(2014)
Phys. Rep.
, vol.544
, pp. 1
-
-
Boccaletti, S.1
Bianconi, G.2
Criado, R.3
Del Genio, C.I.4
Gómez-Gardeñes, J.5
Romance, M.6
Sendiña-Nadal, I.7
Wang, Z.8
Zanin, M.9
-
26
-
-
84921447959
-
-
See Supplemental Material at for details about Fig. 1 that shows there is no correlation between the natural frequency and local coupling strength.
-
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.114.038701 for details about Fig. 1 that shows there is no correlation between the natural frequency and local coupling strength.
-
-
-
-
28
-
-
42749105023
-
-
PLEEE8 1539-3755
-
T. Ichinomiya, Phys. Rev. E 70, 026116 (2004). PLEEE8 1539-3755 10.1103/PhysRevE.70.026116
-
(2004)
Phys. Rev. e
, vol.70
, pp. 026116
-
-
Ichinomiya, T.1
-
29
-
-
84903650372
-
-
PLEEE8 1539-3755
-
P.S. Skardal and A. Arenas, Phys. Rev. E 89, 062811 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.062811
-
(2014)
Phys. Rev. e
, vol.89
, pp. 062811
-
-
Skardal, P.S.1
Arenas, A.2
|