-
1
-
-
0004158366
-
-
(Princeton University Press, Princeton, NJ)
-
H. Weyl, Symmetry (Princeton University Press, Princeton, NJ, 1952).
-
(1952)
Symmetry
-
-
Weyl, H.1
-
2
-
-
34247953814
-
-
P. W. Anderson, Science 177, 393 (1972). SCIEAS 0036-8075 10.1126/science.177.4047.393
-
(1972)
Science
, vol.177
, pp. 393
-
-
Anderson, P.W.1
-
4
-
-
84902438827
-
-
L. M. Pecora, F. Sorrentino, A. M. Hagerstrom, T. E. Murphy, and R. Roy, Nat. Commun. 5, 4079 (2014). NCAOBW 2041-1723 10.1038/ncomms5079
-
(2014)
Nat. Commun.
, vol.5
, pp. 4079
-
-
Pecora, L.M.1
Sorrentino, F.2
Hagerstrom, A.M.3
Murphy, T.E.4
Roy, R.5
-
7
-
-
54749126999
-
-
E. Ott and T. M. Antonsen, Chaos 18, 037113 (2008). CHAOEH 1054-1500 10.1063/1.2930766
-
(2008)
Chaos
, vol.18
, pp. 037113
-
-
Ott, E.1
Antonsen, T.M.2
-
8
-
-
77950508963
-
-
A. E. Motter, Nat. Phys. 6, 164 (2010). NPAHAX 1745-2473 10.1038/nphys1609
-
(2010)
Nat. Phys.
, vol.6
, pp. 164
-
-
Motter, A.E.1
-
9
-
-
84988750379
-
-
(Cambridge University Press, Cambridge, England)
-
A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, England, 2003).
-
(2003)
Synchronization: A Universal Concept in Nonlinear Sciences
-
-
Pikovsky, A.1
Rosenblum, M.2
Kurths, J.3
-
12
-
-
84909522870
-
-
M. H. DeGroot, J. Am. Stat. Assoc. 69, 118 (1974). JSTNAL 0162-1459 10.1080/01621459.1974.10480137
-
(1974)
J. Am. Stat. Assoc.
, vol.69
, pp. 118
-
-
DeGroot, M.H.1
-
14
-
-
84929012268
-
-
K. Showalter and I. R. Epstein, Chaos 25, 097613 (2015). CHAOEH 1054-1500 10.1063/1.4918601
-
(2015)
Chaos
, vol.25
, pp. 097613
-
-
Showalter, K.1
Epstein, I.R.2
-
15
-
-
84930965502
-
-
N. Tompkins, M. C. Cambria, A. L. Wang, M. Heymann, and S. Fraden, Chaos 25, 064611 (2015). CHAOEH 1054-1500 10.1063/1.4922056
-
(2015)
Chaos
, vol.25
, pp. 064611
-
-
Tompkins, N.1
Cambria, M.C.2
Wang, A.L.3
Heymann, M.4
Fraden, S.5
-
17
-
-
0023105388
-
-
C. Maas, Discrete Appl. Math. 16, 31 (1987). DAMADU 0166-218X 10.1016/0166-218X(87)90052-7
-
(1987)
Discrete Appl. Math.
, vol.16
, pp. 31
-
-
Maas, C.1
-
18
-
-
84988827116
-
-
See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.117.114101 for details on the isolated oscillator dynamics (Sec. S1), stability of the synchronous state (Sec. S2), networks of coupled Stuart-Landau oscillators (Sec. S3), simulation of network dynamics (Sec. S4), animated version of Fig. 1 (Sec. S5 and an associated movie file), nonuniform networks requiring oscillator heterogeneity for synchronization stability (Sec. S6), scaling property of (Equation presented) in Eq. 3 (Sec. S7), and demonstration of asymmetry-induced symmetry for any (Equation presented) (Sec. S8). Supplemental Material includes Refs. [19-21].
-
-
-
-
19
-
-
0032251894
-
-
J. C. Lagarias, J. A. Reeds, M. H. Wright, and P. E. Wright, SIAM J. Optim. 9, 112 (1998). SJOPE8 1052-6234 10.1137/S1052623496303470
-
(1998)
SIAM J. Optim.
, vol.9
, pp. 112
-
-
Lagarias, J.C.1
Reeds, J.A.2
Wright, M.H.3
Wright, P.E.4
-
21
-
-
0003495930
-
-
(Prentice-Hall, Englewood Cliffs, NJ)
-
G. E. Forsythe, M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, NJ, 1976).
-
(1976)
Computer Methods for Mathematical Computations
-
-
Forsythe, G.E.1
Malcolm, M.A.2
Moler, C.B.3
-
24
-
-
77954231671
-
-
C. R. Laing, Phys. Rev. E 81, 066221 (2010). PRESCM 1539-3755 10.1103/PhysRevE.81.066221
-
(2010)
Phys. Rev. e
, vol.81
, pp. 066221
-
-
Laing, C.R.1
-
28
-
-
0000798431
-
-
P. Curie, J. Phys. Theor. Appl. 3, 393 (1894). JPTAAT 0368-3893 10.1051/jphystap:018940030039300
-
(1894)
J. Phys. Theor. Appl.
, vol.3
, pp. 393
-
-
Curie, P.1
-
30
-
-
84988879118
-
-
Invertebrate Zoology OnLine
-
R. Fox, Invertebrate Zoology OnLine, http://lanwebs.lander.edu/faculty/rsfox/invertebrates/.
-
-
-
Fox, R.1
-
32
-
-
84937905937
-
-
M. J. Abrams, T. Basinger, W. Yuan, C.-L. Guo, and L. Goentoro, Proc. Natl. Acad. Sci. U.S.A. 112, E3365 (2015). PNASA6 0027-8424 10.1073/pnas.1502497112
-
(2015)
Proc. Natl. Acad. Sci. U.S.A.
, vol.112
, pp. E3365
-
-
Abrams, M.J.1
Basinger, T.2
Yuan, W.3
Guo, C.-L.4
Goentoro, L.5
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