The panels show the evolution of order parameter of the upper layer with the increase of intra-layer coupling strength for different network topologies, (a) both the upper and lower layers are random networks, (b) both the upper and lower layers are scale-free networks. The inter-layer coupling strength λ is set to 0.9. The natural frequency of each oscillator in the upper layer is randomly selected in the interval [-1, 1], and the natural frequency of oscillators with the same label in the lower layer changes synchronously. Because the upper and lower networks belong to the same type, the evolution of order parameters is almost the same. In order to avoid repetition, the evolution law of order parameter of the lower layer is omitted.</p
An interconnected network features a structural transition between two regimes [F. Radicchi and A. A...
By rows, high η networks at the top to low η networks on the bottom row. By columns, low coupling st...
We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growi...
The panels show the evolution of order parameters of the upper (a) and lower (b) layers with the inc...
Both of them correspond to the super-linear correlations, (a) β = 1.3, (b) β = 1.7. Every data point...
(a) The evolution of order parameter of the upper layer for the linear correlation. (b) and (c) show...
<p>a: Current time series of two chaotic oscillators without any coupling. <i>V</i>=1295 mV, <i>R</i...
<p>Panel A: Stationary density of cooperators as a function of <i>T</i>, for substrates constructed ...
We analyze the properties of order parameters measuring synchronization and phase locking in complex...
<p><b>A</b>: The order parameter for unidirectional and bidirectional coupling between two nodes pl...
<p>Box plots of the distributions of persistences (panel ), births (panel ) and lengths (panel ) ...
a) Progression of the order parameter of an example network over time, with the calculated synchrony...
The topology of the network is exactly the same as Fig 12. We replace the random uniform distributio...
<p>Time series for global order parameter, , for various networks of coupled Kuramoto oscillators. E...
<p>The black line represents transitivity, the red line indicates the global efficiency, the blue li...
An interconnected network features a structural transition between two regimes [F. Radicchi and A. A...
By rows, high η networks at the top to low η networks on the bottom row. By columns, low coupling st...
We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growi...
The panels show the evolution of order parameters of the upper (a) and lower (b) layers with the inc...
Both of them correspond to the super-linear correlations, (a) β = 1.3, (b) β = 1.7. Every data point...
(a) The evolution of order parameter of the upper layer for the linear correlation. (b) and (c) show...
<p>a: Current time series of two chaotic oscillators without any coupling. <i>V</i>=1295 mV, <i>R</i...
<p>Panel A: Stationary density of cooperators as a function of <i>T</i>, for substrates constructed ...
We analyze the properties of order parameters measuring synchronization and phase locking in complex...
<p><b>A</b>: The order parameter for unidirectional and bidirectional coupling between two nodes pl...
<p>Box plots of the distributions of persistences (panel ), births (panel ) and lengths (panel ) ...
a) Progression of the order parameter of an example network over time, with the calculated synchrony...
The topology of the network is exactly the same as Fig 12. We replace the random uniform distributio...
<p>Time series for global order parameter, , for various networks of coupled Kuramoto oscillators. E...
<p>The black line represents transitivity, the red line indicates the global efficiency, the blue li...
An interconnected network features a structural transition between two regimes [F. Radicchi and A. A...
By rows, high η networks at the top to low η networks on the bottom row. By columns, low coupling st...
We found that models of evolving random networks exhibit dynamic scaling similar to scaling of growi...