Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:C1L-C

Session:

Number:574

Co-evolving Network Dynamics between Reaction-Diffusive Resources on Nodes and Weighted Connections

Takaaki Aoki,  Toshio Aoyagi,  

pp.574-577

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.574

PDF download (916.5KB)

We investigated the co-evolving dynamics of a network and the state on it. We considered a reaction-diffusion system on a weighted network, in which a dissipative resource on the nodes, such as molecules, individuals, money, or data packets, move diffusively to other nodes through weighted links. Simultaneously, the weighted connections dynamically change in a resource-dependent manner. We demonstrate that this interplay between dynamics both on and of a network, yields self-organized network of the interaction of the dynamical system, involving an emergence of power-law distributions in both the quantities of the resource and the strengths of the links. Our results offer a framework for understanding the functional structures of real-world networks pertinent to resource distribution.

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