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Optimal signal amplification in weighted scale-free networks
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10.1063/1.4718723
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Affiliations:
1 Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062, China
2 Institute of Mathematics and Computer Science, University of São Paulo, São Carlos 13560-970, Brazil
Chaos 22, 023128 (2012)
/content/aip/journal/chaos/22/2/10.1063/1.4718723
http://aip.metastore.ingenta.com/content/aip/journal/chaos/22/2/10.1063/1.4718723
View: Figures

## Figures

FIG. 1.

Parameters in Eq. depend on the coupling strength λ, where (a) represents the amplitude A′ vs λ; (b) the parameter a vs λ; and (c) the oscillation center . Parameters N = 500 and m = 3 are used.

FIG. 2.

(a) g vs λ where the “square,” “circle,” and “triangle” traces are the simulation results of α = −0.5, 0, and 0.5, respectively. (b) g vs α, where the “square,” “circle,” and “triangle” traces are the simulations results of λ = 0.06, 0.1, and 1, respectively. (c) The optimal g as a function of α and λ from Eq. . Parameters N = 500 and m = 3 are used.

FIG. 3.

(a) The maximum responses (“circles”) and the analytical result g (“squares”) vs λ. (b) The optimal values (“circles”) and the analytical result α (“squares”) vs λ. (c) The degree kL of the node with maximum signal response (“circles”) and the analytical result kL (“squares”) vs λ. (d) The effective coupling strength vs λ, where the circles denote , the squares denote , and the triangle denote . The dashed lines in (c) and (d) denote . Parameters N = 500 and m = 3 are used.

FIG. 4.

(a) The maximum response vs λ. (b) The optimal value α vs λ. (c) The degree kL of the node with maximum signal response vs λ. In (a)-(c), “circles” represent the results with N = 1000 and m = 3 and “squares” represent the results with N = 500 and m = 5. (d) The maximum response vs ω, where “squares” represent the case of α = −0.5 and λ = 0.04, “circles” represent the case of α = 0 and λ = 0.08, and “triangles” represent the case of α = 2 and λ = 5. In (d), parameters N = 500 and m = 3 are used.

FIG. 5.

The optimal gi vs k for fixed α where (a) to (d) represent the cases of α = −0.5 and λ = 0.04, α = 0 and λ = 0.08, α = 0.5 and λ = 0.16, and α = 2 and λ = 5, respectively. Parameters N = 500 and m = 3 are used.

/content/aip/journal/chaos/22/2/10.1063/1.4718723
2012-05-17
2014-04-18

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