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Pinning controllability of complex networks with community structure
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10.1063/1.4816009
/content/aip/journal/chaos/23/3/10.1063/1.4816009
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4816009
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Eigen value ratio as a function of the pinning ratio for networks with different numbers of communities  = 1, 2, and 4. The within-community connection strength is  = 0.8 and the control gain is  = 5. (a) Controllability analysis with scheme 1, (b) controllability analysis with scheme 2 and (c) controllability analysis with scheme 3.

Image of FIG. 2.
FIG. 2.

as a function of the control gain for networks with different within-community connection strengths  = 0.2, 0.6, and 0.8. The pinning ratio is chosen as follows:  = 0.1 in (a), (c), (e) and  = 0.6 in (b), (d), (f), respectively. (a)–(b) Controllability analysis of networks with scheme 1, (c)–(d) with scheme 2, and (e)–(f) with scheme 3.

Image of FIG. 3.
FIG. 3.

as a function of the pinning ratio with the community number  = 2 and the control gain  = 5. (a)  = 0.2 and (b)  = 0.8.

Image of FIG. 4.
FIG. 4.

as a function of the pinning ratio with the community number  = 2. The within-community connection strength is  = 0.9 and the control gain is  = 5. The parameters and are the proportions of pinned nodes located in the two communities, respectively. The following relationship holds. (a) Scheme 1. (b) Scheme 2. (c) Scheme 3.

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/content/aip/journal/chaos/23/3/10.1063/1.4816009
2013-07-22
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Pinning controllability of complex networks with community structure
http://aip.metastore.ingenta.com/content/aip/journal/chaos/23/3/10.1063/1.4816009
10.1063/1.4816009
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