Theoretical research progress in complexity of complex dynamical networks

Abstract

This article reviews the main progress in dynamical complexity of theoretical models for nonlinear complex networks proposed by our Joint Complex Network Research Group (JCNRG). The topological and dynamical properties of these theoretical models are numerically studied. Several findings are useful for understanding and deeply studying complex networks from macroscopic to microscopic levels and have a potential of applications in real-world networks.

*Supported by National Natural Science Foundation of China (Grant Nos. 70431002, 70371068)

Keywords:

• Harmonious unifying hybrid preferential model
• a large unifying hybrid network model
• quantum interference network
• nanowire networks
• generalized local-world model
• non-local links model
• evolving model of weighted networks
• small-world network with the unchanged degree

Notes

*Supported by National Natural Science Foundation of China (Grant Nos. 70431002, 70371068)