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Pinning control of complex networks via edge snapping
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10.1063/1.3626024
/content/aip/journal/chaos/21/3/10.1063/1.3626024
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/3/10.1063/1.3626024
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Pinning control via edge snapping in a network of 100 Chua’s circuits with fixed control gains.

Image of FIG. 2.
FIG. 2.

(Color online) Pinning control via edge snapping in a network of 100 Lorenz oscillators with fixed control gains.

Image of FIG. 3.
FIG. 3.

(Color online) Pinning strategies A and B to control a network of 30 Rössler oscillators coupled on the variable . strategy A is not able to completely control the network dynamics. A non-zero steady-state error remains (a). strategy B successfully controls the network (b).

Image of FIG. 4.
FIG. 4.

(Color online) Pinning strategies A and B to control a network of 30 Rössler oscillators coupled on the variable p: selection of the pinning sites. When strategy A is adopted, all the pinning sites are activated at steady-state (a). When using strategy B, only half of the pinning sites are selected (b).

Image of FIG. 5.
FIG. 5.

(Color online) Network of 30 Rössler oscillators coupled on the variable and controlled through strategy B. Snapping dynamics for the evolution of the network topology.

Image of FIG. 6.
FIG. 6.

(Color online) Control of a network of 30 Rossler oscillators coupled on the u variable via strategy B. Node degree for the target network before (stars) and after the evolution (diamonds) dictated by strategy B.

Image of FIG. 7.
FIG. 7.

(Color online) Network of 100 Lorenz oscillators with fully decentralized snapping control. Evolution of the first component of the pinning error.

Image of FIG. 8.
FIG. 8.

(Color online) Network of 100 Lorenz oscillators with fully decentralized snapping control. Evolution of the coupling (top) and control gains (bottom).

Image of FIG. 9.
FIG. 9.

(Color online) Network of 100 Lorenz oscillators with fully decentralized snapping control. Evolution of a ij (top) and δ i (bottom).

Image of FIG. 10.
FIG. 10.

(Color online) Control of a network of 30 Chua’s circuits through strategy A.

Image of FIG. 11.
FIG. 11.

(Color online) Control of a network of 30 Chua’s circuits through strategy B.

Image of FIG. 12.
FIG. 12.

(Color online) Control of a network of 30 Chua’s circuits through strategy B.

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/content/aip/journal/chaos/21/3/10.1063/1.3626024
2011-09-06
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Pinning control of complex networks via edge snapping
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/3/10.1063/1.3626024
10.1063/1.3626024
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