Summary

International Symposium on Nonlinear Theory and its Applications

2017

Session Number:B1L-D-1

Session:

Number:B1L-D-1-1

Relation between dynamics of network systems and those of theirs sub-networks

Yunjiao Wang,  Kiran Chilakamarri,  Demetrios Kazakos,  Maria Leite,  

pp.414-416

Publication Date:2017/12/4

Online ISSN:2188-5079

DOI:10.34385/proc.29.B1L-D-1-1

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Summary:
Statistics analysis of the connectivity of real world networks revealed interesting features including existence of community structures. Such discoveries make it possible to understand the dynamics of the whole complex network system by studying those of its subnetwork systems, provided that the dynamics in the subnetwork systems somehow can be preserved or partial preserved in the whole system. Many works have been devoted to the existence of community structures while very few works have addressed the possibility of translating the dynamics of subnetwork systems to the whole system. In this paper, we address this issue by focusing on the relations between cycles and fixed points of whole system and its subnetwork systems based on Boolean network framework.