Symmetries in the time-averaged dynamics of stochastic models of networks dynamics

Author

Abu Bakar Siddique

Publication Date

7-1-2016

Abstract

In recent years a large body of research has investigated the dynamics of complex networks, including percolation [1, 2], epidemics [3, 4], synchronization [5, 6], evolutionary game theory [7, 8], and traffic dynamics [9, 10, 11]. These study apply to technological networks, biological networks, and social networks. In general, it has been shown that the topology of these networks (e.g. the degree distribution [12, 13], degree correlation [14, 15], community structure [16], etc.) plays a significant role in their dynamical time evolution.

Keywords

symmetry; dynamical systems; complex network

Degree Name

Mechanical Engineering

Level of Degree

Masters

Department Name

Mechanical Engineering

First Committee Member (Chair)

Sorrentino, Francesco

Second Committee Member

Shen, Yu-Lin

Third Committee Member

Kouzehgarani, Asal Naseri

Document Type

Thesis

Language

English

Recommended Citation

Siddique, Abu Bakar. "Symmetries in the time-averaged dynamics of stochastic models of networks dynamics." (2016). https://digitalrepository.unm.edu/me_etds/100