-
1
-
-
19944385353
-
The Kuramoto model: A simple paradigm for synchronization phenomena
-
10.1103/RevModPhys.77.137, and
-
Acebrón J.A. Bonilla L.L. Pérez Vicente C.J. Ritort F. Spigler R. The Kuramoto model: A simple paradigm for synchronization phenomena. Rev. Mod. Phys. 2005, 77:137-185. 10.1103/RevModPhys.77.137, and .
-
(2005)
Rev. Mod. Phys.
, vol.77
, pp. 137-185
-
-
Acebrón, J.A.1
Bonilla, L.L.2
Pérez Vicente, C.J.3
Ritort, F.4
Spigler, R.5
-
2
-
-
56549084695
-
Synchronization in complex networks
-
10.1016/j.physrep.2008.09.002, and
-
Arenas A. Díaz-Guilera A. Kurths J. Moreno Y. Zhou C. Synchronization in complex networks. Phys. Rep. 2008, 469:93-153. 10.1016/j.physrep.2008.09.002, and .
-
(2008)
Phys. Rep.
, vol.469
, pp. 93-153
-
-
Arenas, A.1
Díaz-Guilera, A.2
Kurths, J.3
Moreno, Y.4
Zhou, C.5
-
4
-
-
31344474880
-
Complex networks: Structure and dynamics
-
10.1016/j.physrep.2005.10.009, and
-
Boccaletti S. Latora V. Moreno Y. Chavez M. Hwang D.U. Complex networks: Structure and dynamics. Phys. Rep. 2006, 424:175-308. 10.1016/j.physrep.2005.10.009, and .
-
(2006)
Phys. Rep.
, vol.424
, pp. 175-308
-
-
Boccaletti, S.1
Latora, V.2
Moreno, Y.3
Chavez, M.4
Hwang, D.U.5
-
5
-
-
40849092965
-
Synchrony-optimized networks of non-identical Kuramoto oscillators
-
10.1016/j.physleta.2008.06.017, .
-
Brede M. Synchrony-optimized networks of non-identical Kuramoto oscillators. Phys. Lett. A 2008, 372:2618-2622. 10.1016/j.physleta.2008.06.017, .
-
(2008)
Phys. Lett. A
, vol.372
, pp. 2618-2622
-
-
Brede, M.1
-
6
-
-
41549138168
-
Local vs. global synchronization in networks of non-identical Kuramoto oscillators
-
10.1140/epjb/e2008-00126-9, .
-
Brede M. Local vs. global synchronization in networks of non-identical Kuramoto oscillators. Eur. Phys. J. B 2008, 62:87-94. 10.1140/epjb/e2008-00126-9, .
-
(2008)
Eur. Phys. J. B
, vol.62
, pp. 87-94
-
-
Brede, M.1
-
7
-
-
0037423295
-
Scale free networks are ultrasmall
-
10.1103/PhysRevLett.90.058701, and
-
Cohen R. Havlin S. Scale free networks are ultrasmall. Phys. Rev. Lett. 2003, 90:058701. 10.1103/PhysRevLett.90.058701, and .
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 058701
-
-
Cohen, R.1
Havlin, S.2
-
8
-
-
78650714539
-
Rewiring dynamical networks with prescribed degree distribution for enhancing synchronizability
-
10.1063/1.3515170, and
-
Dadashi M. Barjasteh I. Jalili M. Rewiring dynamical networks with prescribed degree distribution for enhancing synchronizability. Chaos 2010, 20:043119. 10.1063/1.3515170, and .
-
(2010)
Chaos
, vol.20
, pp. 043119
-
-
Dadashi, M.1
Barjasteh, I.2
Jalili, M.3
-
9
-
-
28844496387
-
Entangled networks, synchronization, and optimal network topology
-
10.1103/PhysRevLett.95.188701, and
-
Donetti L. Hurtado P.I. Muñoz M.A. Entangled networks, synchronization, and optimal network topology. Phys. Rev. Lett. 2005, 95:188701. 10.1103/PhysRevLett.95.188701, and .
-
(2005)
Phys. Rev. Lett.
, vol.95
, pp. 188701
-
-
Donetti, L.1
Hurtado, P.I.2
Muñoz, M.A.3
-
10
-
-
0034688893
-
Fast response and temporal coherent oscillations in small-world networks
-
10.1103/PhysRevLett.84.2758, Lago-, and
-
Fernandez L.F. Huerta R. Corbacho F. Siguenza J.A. Fast response and temporal coherent oscillations in small-world networks. Phys. Rev. Lett. 2000, 84:02758. 10.1103/PhysRevLett.84.2758, Lago-, and .
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 02758
-
-
Fernandez, L.F.1
Huerta, R.2
Corbacho, F.3
Siguenza, J.A.4
-
11
-
-
33846401114
-
Paths to synchronization on complex networks
-
10.1103/PhysRevLett.98.034101, and
-
Gómez-Gardeñes J. Moreno Y. Arenas A. Paths to synchronization on complex networks. Phys. Rev. Lett. 2007, 98:034101. 10.1103/PhysRevLett.98.034101, and .
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 034101
-
-
Gómez-Gardeñes, J.1
Moreno, Y.2
Arenas, A.3
-
12
-
-
34547264989
-
Synchronizability determined by coupling strength and topology on complex networks
-
10.1103/PhysRevE.75.066106, and
-
Gómez-Gardeñes J. Moreno Y. Arenas A. Synchronizability determined by coupling strength and topology on complex networks. Phys. Rev. E 2007, 75:066106. 10.1103/PhysRevE.75.066106, and .
-
(2007)
Phys. Rev. E
, vol.75
, pp. 066106
-
-
Gómez-Gardeñes, J.1
Moreno, Y.2
Arenas, A.3
-
13
-
-
0034296001
-
Synchronization, diversity, and topology of networks of integrate and fire oscillators
-
10.1103/PhysRevE.62.5565, and
-
Guardiola X. Díaz-Guilera A. Llas M. Pérez C.J. Synchronization, diversity, and topology of networks of integrate and fire oscillators. Phys. Rev. E 2000, 62:5565-5570. 10.1103/PhysRevE.62.5565, and .
-
(2000)
Phys. Rev. E
, vol.62
, pp. 5565-5570
-
-
Guardiola, X.1
Díaz-Guilera, A.2
Llas, M.3
Pérez, C.J.4
-
14
-
-
54749105448
-
Rewiring networks for synchronization
-
10.1063/1.2975842, and
-
Hagberg A. Schult D.A. Rewiring networks for synchronization. Chaos 2008, 18:037105. 10.1063/1.2975842, and .
-
(2008)
Chaos
, vol.18
, pp. 037105
-
-
Hagberg, A.1
Schult, D.A.2
-
15
-
-
37649030242
-
Synchronization on small-world networks
-
10.1103/PhysRevE.66.018101, and
-
Hong H. Kim B.J. Choi M.Y. Synchronization on small-world networks. Phys. Rev. E 2002, 66:018101. 10.1103/PhysRevE.66.018101, and .
-
(2002)
Phys. Rev. E
, vol.66
, pp. 018101
-
-
Hong, H.1
Kim, B.J.2
Choi, M.Y.3
-
16
-
-
79959971118
-
On the topology of synchrony optimized networks
-
M.Sc Thesis, University of Sydney.
-
Kelly D. On the topology of synchrony optimized networks. 2009, M.Sc Thesis, University of Sydney.
-
(2009)
-
-
Kelly, D.1
-
17
-
-
84958254768
-
On synchrony optimized Kuramoto-networks with non-identical oscillators at low coupling strength
-
unpublished.
-
Kelly D. Gottwald G.A. On synchrony optimized Kuramoto-networks with non-identical oscillators at low coupling strength. and unpublished.
-
-
-
Kelly, D.1
Gottwald, G.A.2
-
18
-
-
26444479778
-
Optimization by simulated annealing
-
10.1126/science.220.4598.671, and
-
Kirkpatrick S. Gelatt C.D. Vecchi M.P. Optimization by simulated annealing. Science 1983, 220:671-680. 10.1126/science.220.4598.671, and .
-
(1983)
Science
, vol.220
, pp. 671-680
-
-
Kirkpatrick, S.1
Gelatt, C.D.2
Vecchi, M.P.3
-
19
-
-
0037012880
-
Specifity and stability in topology of protein networks
-
10.1126/science.1065103, and
-
Maslov S. Sneppen K. Specifity and stability in topology of protein networks. Science 2002, 296:910-914. 10.1126/science.1065103, and .
-
(2002)
Science
, vol.296
, pp. 910-914
-
-
Maslov, S.1
Sneppen, K.2
-
20
-
-
37649031501
-
Network synchronization, diffusion, and the paradox of heterogeneity
-
10.1103/PhysRevE.71.016116, and
-
Motter A.E. Zhou C. Kurths J. Network synchronization, diffusion, and the paradox of heterogeneity. Phys. Rev. E 2005, 71:016116. 10.1103/PhysRevE.71.016116, and .
-
(2005)
Phys. Rev. E
, vol.71
, pp. 016116
-
-
Motter, A.E.1
Zhou, C.2
Kurths, J.3
-
21
-
-
0038718854
-
The structure and function of complex networks
-
10.1137/S003614450342480, .
-
Newman M.E. J. The structure and function of complex networks. SIAM Rev. 2003, 45:167-256. 10.1137/S003614450342480, .
-
(2003)
SIAM Rev.
, vol.45
, pp. 167-256
-
-
Newman, M.E.J.1
-
22
-
-
0041707963
-
Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize"
-
10.1103/PhysRevLett.91.014101, and , "" .
-
Nishikawa T. Motter A.E. Lai Y.-C. Hoppensteadt F.C. Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize". Phys. Rev. Lett. 2003, 91:014101. 10.1103/PhysRevLett.91.014101, and "".
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 014101
-
-
Nishikawa, T.1
Motter, A.E.2
Lai, Y.-C.3
Hoppensteadt, F.C.4
-
23
-
-
4243241129
-
Master stability functions for synchronized coupled systems
-
10.1103/PhysRevLett.80.2109, and
-
Pecora L.M. Carroll T.L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 1998, 80:2109-2112. 10.1103/PhysRevLett.80.2109, and .
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2109-2112
-
-
Pecora, L.M.1
Carroll, T.L.2
-
25
-
-
0039592729
-
From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
-
10.1016/S0167-2789(00)00094-4, .
-
Strogatz S.H. From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators. Physica D 2000, 143:1-36. 10.1016/S0167-2789(00)00094-4, .
-
(2000)
Physica D
, vol.143
, pp. 1-36
-
-
Strogatz, S.H.1
-
26
-
-
0035826155
-
Exploring complex networks
-
10.1038/35065725, .
-
Strogatz S.H. Exploring complex networks. Nature 2001, 410:268-276. 10.1038/35065725, .
-
(2001)
Nature
, vol.410
, pp. 268-276
-
-
Strogatz, S.H.1
-
27
-
-
0032482432
-
Collective dynamics of 'small-world' networks
-
10.1038/30918, and
-
Strogatz S.H. Watts D.J. Collective dynamics of 'small-world' networks. Nature 1998, 393:440-443. 10.1038/30918, and .
-
(1998)
Nature
, vol.393
, pp. 440-443
-
-
Strogatz, S.H.1
Watts, D.J.2
-
28
-
-
79959976601
-
Hierarchical synchronization in complex networks with heterogeneous degrees
-
10.1063/1.2975842, and
-
Zhou C. Kurths J. Hierarchical synchronization in complex networks with heterogeneous degrees. Chaos 2008, 18:037105. 10.1063/1.2975842, and .
-
(2008)
Chaos
, vol.18
, pp. 037105
-
-
Zhou, C.1
Kurths, J.2
-
29
-
-
84958262819
-
-
Note
-
We use the term cluster loosely, to represent a connected subgroup of the network. This is unrelated to the clustering coefficient C.
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