Dynamics-Driven Evolution to Structural Heterogeneity in Complex Networks

Details Dynamics-Driven Evolution to Structural Heterogeneity in Complex Networks Dynamics-Driven Evolution to Structural Heterogeneity in Complex Networks

2008-04-20

arxiv.org/abs/0804.3181v2

Physica A 388, 523-528 (2009)

Physics

Physics and Society

Figure 2 updated. Final version as appear in Physica A

Scientific paper

10.1016/j.physa.2008.10.024

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local mutations have higher chances of getting integrated into its structure, the system can evolve into a highly heterogeneous small-world with a global hub (whose connectivity is proportional to the network size), strong local connection correlations and power law-like degree distribution. Networks with better dynamical performance are achieved if structural evolution occurs much slower than the network dynamics. Structural heterogeneity of many biological and social dynamical systems may also be driven by various dynamics-structure coupling mechanisms.

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