Time-delayed Kuramoto model in the Watts–Strogatz small-world networks

2021 ◽  
Vol 31 (11) ◽  
pp. 113125
Author(s):  
Sara Ameli ◽  
Maryam Karimian ◽  
Farhad Shahbazi
Keyword(s):  
Small World ◽  
Kuramoto Model ◽  
Small World Networks

Networks

2018 ◽  
Author(s):  
Stefan Thurner ◽  
Rudolf Hanel ◽  
Peter Klimekl
Keyword(s):  
Complex Systems ◽  
Complex Networks ◽  
Phase Diagrams ◽  
Community Detection ◽  
Network Science ◽  
Small World ◽  
Small World Networks ◽  
Multilayer Networks ◽  
Basic Vocabulary

Understanding the interactions between the components of a system is key to understanding it. In complex systems, interactions are usually not uniform, not isotropic and not homogeneous: each interaction can be specific between elements.Networks are a tool for keeping track of who is interacting with whom, at what strength, when, and in what way. Networks are essential for understanding of the co-evolution and phase diagrams of complex systems. Here we provide a self-contained introduction to the field of network science. We introduce ways of representing and handle networks mathematically and introduce the basic vocabulary and definitions. The notions of random- and complex networks are reviewed as well as the notions of small world networks, simple preferentially grown networks, community detection, and generalized multilayer networks.

scholarly journals Multifractal analysis of eigenvectors of small-world networks

2021 ◽  
Vol 144 ◽  
pp. 110745
Author(s):  
Ankit Mishra ◽  
Jayendra N. Bandyopadhyay ◽  
Sarika Jalan
Keyword(s):  
Multifractal Analysis ◽  
Small World ◽  
Small World Networks

scholarly journals Dynamic rewiring in small world networks

2005 ◽  
Vol 72 (6) ◽  
Author(s):  
J. P. L. Hatchett ◽  
N. S. Skantzos ◽  
T. Nikoletopoulos
Keyword(s):  
Small World ◽  
Small World Networks
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