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Synchronization in small-world networks
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10.1063/1.2939136
/content/aip/journal/chaos/18/3/10.1063/1.2939136
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/3/10.1063/1.2939136

Figures

Image of FIG. 1.
FIG. 1.

The intensities as a function of time for arbitrarily 20 oscillators in networks with undelayed couplings (a), or delayed couplings (b), by the Zhou–Kurths method. The parameters are , , , , .

Image of FIG. 2.
FIG. 2.

The average synchronization error in networks with undelayed couplings as a function of (a) time , and (b) the intensity , by the DO mechanism. The parameters are , , , , .

Image of FIG. 3.
FIG. 3.

The average synchronization error in networks with delayed couplings as a function of time . (a) The Zhou–Kurths method . (b) The DO mechanism . The parameters , , , , .

Image of FIG. 4.
FIG. 4.

[(a) and (b)] Distribution of eigenvalues of the Laplacian matrix of in network (1) with undelayed couplings (○) and delayed couplings (∗). Solid line: The stability region . The parameters are , , , , , , .

Image of FIG. 5.
FIG. 5.

The ratio as a function of network size for a fixed probability (a), and the probability for a fixed size (b). Yellow line (◻): type I networks; green line (◇): type II networks; blue line (○): type III networks; red line (△): type IV networks; black dashed line: the maximal ratio in the region . The parameters are , , , . All the estimates are averaged over 20 realizations of networks.

Image of FIG. 6.
FIG. 6.

The dependence of on in (a), (d), and (g) of on in (b), (e), and (h), and the relationship between and in (c), (f), and (i), respectively. , [(a), (b), and (c)]; , [(d), (e), and (f)]; , [(g), (h), and (i)]. The parameters in type V networks are , , , , .

Tables

Generic image for table
Table I.

The ratio as a function of network size for a fixed probability .

Generic image for table
Table II.

The ratio as a function of the probability for a fixed size .

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/content/aip/journal/chaos/18/3/10.1063/1.2939136
2008-09-22
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Synchronization in small-world networks
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/3/10.1063/1.2939136
10.1063/1.2939136
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