scholarly journals Degree Distribution in Quantum Walks on Complex Networks

2013 ◽  
Vol 3 (4) ◽  
Author(s):  
Mauro Faccin ◽  
Tomi Johnson ◽  
Jacob Biamonte ◽  
Sabre Kais ◽  
Piotr Migdał
Keyword(s):  
Complex Networks ◽  
Degree Distribution ◽  
Quantum Walks

Sampling based estimation of in-degree distribution for directed complex networks

2021 ◽  
pp. 1-33
Author(s):  
Nelson Antunes ◽  
Shankar Bhamidi ◽  
Tianjian Guo ◽  
Vladas Pipiras ◽  
Bang Wang
Keyword(s):  
Complex Networks ◽  
Degree Distribution

scholarly journals Dynamics in Bank Crisis Model

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Tianshu Jiang ◽  
Mengzhe Zhou ◽  
Bi Shen ◽  
Wendi Xuan ◽  
Sijie Wen ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Complex Networks ◽  
Critical Point ◽  
Dynamic Systems ◽  
Degree Distribution ◽  
Equilibrium Points ◽  
Modified Model ◽  
The Past ◽  
Banking Market ◽  
The Stability

Bank crisis is grabbing more serious attention as several financial turmoils have broken out in the past several decades, which leads to a number of researches in this field. Comparing with researches carried out on basis of degree distribution in complex networks, this paper puts forward a mathematical model constructed upon dynamic systems, for which we mainly focus on the stability of critical point. After the model is constructed to describe the evolution of the banking market system, we devoted ourselves to find out the critical point and analyze its stability. However, to refine the stability of the critical point, we add some impulsive terms in the former model. And we discover that the bank crisis can be controlled according to the analysis of equilibrium points of the modified model, which implies the interference from outside may modify the robustness of the bank network.

INTERACTING OSCILLATORS IN COMPLEX NETWORKS: SYNCHRONIZATION AND THE EMERGENCE OF SCALE-FREE TOPOLOGIES

2010 ◽  
Vol 20 (03) ◽  
pp. 753-763 ◽  
Author(s):  
J. A. ALMENDRAL ◽  
I. LEYVA ◽  
I. SENDIÑA-NADAL ◽  
S. BOCCALETTI
Keyword(s):  
Complex Networks ◽  
Degree Distribution ◽  
Coupled Oscillators ◽  
Growth Process ◽  
Necessary Condition ◽  
Scale Free ◽  
Natural Systems ◽  
Synchronous Motion ◽  
The Stability ◽  
Growing Network

In natural systems, many processes can be represented as the result of the interaction of self-sustained oscillators on top of complex topological wirings of connections. We review some of the main results on the setting of collective (synchronized) behaviors in globally and locally identical coupled oscillators, and then discuss in more detail the main formalism that gives the necessary condition for the stability of a synchronous motion. Finally, we also briefly describe a case of a growing network of nonidentical oscillators, where the growth process is entirely guided by dynamical rules, and where the final synchronized state is accompanied with the emergence of a specific statistical feature (the scale-free property) in the network's degree distribution.

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